#$&*
course PHY 232
Question: Suppose you measure the length of a pencil. You use both a triply-reduced ruler and the original ruler itself, and you make your measurements accurate to the smallest mark on each. You then multiply the reading on the triply-reduced ruler by the appropriate scale factor.
• Which result is likely to be closer to the actual length of the pencil?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
I’d say using the triply-reduced ruler and multiplying to get the appropriate reading. You can get a more precise reading on the ruler with a smaller scale.
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• What factors do you have to consider in order to answer this question and how do they weigh into your final answer?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
A major factor to consider is the width of each tick mark on the ruler. They go into account for some error.
confidence rating #$&*:: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
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Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
#$&*
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Question: Answer the same questions as before, except assume that the triply-reduced ruler has no optical distortion, and that you also know the scale factor accurate to 4 significant figures.
• Which result is likely to be closer to the actual length of the pencil?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Well I was assuming before that there was no optical distortion. Had there been optical distortion, that would change my hypothesis on the ability to read the ruler accurately.
#$&*
• What factors do you have to consider in order to answer this question and how do they weigh into your final answer?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv .
Measure from the same side of the tick mark and get down to the most precise measurement possible for accurate concluding data. Human error is almost always present in these experiments.
confidence rating #$&*:: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
------------------------------------------------
Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
#$&*
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Question: Suppose you are to measure the length of a rubber band whose original length is around 10 cm, measuring once while the rubber band supports the weight of a small apple and again when it supports the weight of two small apples. You are asked to report as accurately as possible the difference in the two lengths, which is somewhere between 1 cm and 2 cm. You have available the singly-reduced copy and the triply-reduced copy, and your data from the optical distortion experiment.
• Which ruler will be likely to give you the more accurate difference in the lengths?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
For a distance between 1cm and 2cm, I’d use the triple reduced scale.
#$&*
• Explain what factors you considered and how they influence your final answer.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
I want a more precise measurement and I believe I could obtain that with the triply reduced ruler.
confidence rating #$&*:: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
------------------------------------------------
Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
#$&*
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Question: Later in the course you will observe how the depth of water in a uniform cylinder changes as a function of time, when water flows from a hole near the bottom of the cylinder. Suppose these measurements are made by taping a triply-reduced ruler to the side of a transparent cylinder, and observing the depth of the water at regular 3-second intervals.
The resulting data would consist of a table of water depth vs. clock times, with clock times 0, 3, 6, 9, 12, ... seconds. As depth decreases the water flows from the hole more and more slowly, so the depth changes less and less quickly with respect to clock time.
Experimental uncertainties would occur due to the optical distortion of the copied rulers, due to the spacing between marks on the rulers, due to limitations on your ability to read the ruler (your eyes are only so good), due to timing errors, and due to other possible factors.
Suppose that depth changes vary from 5 cm to 2 cm over the first six 3-second intervals.
Assume also that the timing was very precise, so that there were no significant uncertainties due to timing.
• Based on what you have learned in experiments done through Assignment 1, without doing extensive mathematical analysis, estimate how much uncertainty would be expected in the observed depths, and briefly explain the basis for your estimates. Speculate also on how much uncertainty would result in first-difference calculations done with the depth vs. clock time data, and how much in second-difference calculations.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Each graph would be uncertain and when finding the velocity and acceleration, the graph would be even more extremely uncertain.
confidence rating #$&*:: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
------------------------------------------------
Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
#$&*
• How would these uncertainties affect a graph of first difference vs. midpoint clock time, and how would they affect a graph of second difference vs. midpoint clock time?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Each graph would be uncertain and when finding the velocity and acceleration, the graph would be even more extremely uncertain
#$&*
• How reliably do you think the first-difference graph would predict the actual behavior of the first difference?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
The first-difference graph would predict the actual behavior pretty well as a visual reference, but you could not depend on the actual numbers.
#$&*
• Answer the same for the second-difference graph.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Same for the second-difference graph, however it would be less reliable than the first-difference graph since the errors are amplified.
#$&*
• What do you think the first difference tells you about the system? What about the second difference?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
The first difference tells you the difference between each depth. The second difference shows you the distance to the midpoint value between the first differences.
confidence rating #$&*:: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
------------------------------------------------
Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
#$&*
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Question: Suppose the actual second-difference behavior of the depth vs. clock time is in fact linear. How nearly do you think you could estimate the slope of that graph from data taken as indicated above (e.g., within 1% of the correct slope, within 10%, within 30%, or would no slope be apparent in the second-difference graph)?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
If the actual second difference behavior of the depth vs. clock time is linear, then i feel like I could estimate the slope of the graph within 1% of the correct slope, since it is linear and it is easier to determine the slope of a linear line.
#$&*
Again no extensive analysis is expected, but give a brief synopsis of how you considered various effects in arriving at your estimate.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
I considered the fact that if it was linear, then the data would all be fairly accurate, and if I used my skills of determining the slope of a linear line I feel as though I could get very close to the actual slope.
#$&*
confidence rating #$&*: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
------------------------------------------------
Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
"
Self-critique (if necessary):
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Self-critique rating:
________________________________________
#$&*
`gr31
#$&*
course PHY 232
Question: Suppose you measure the length of a pencil. You use both a triply-reduced ruler and the original ruler itself, and you make your measurements accurate to the smallest mark on each. You then multiply the reading on the triply-reduced ruler by the appropriate scale factor.
• Which result is likely to be closer to the actual length of the pencil?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
I’d say using the triply-reduced ruler and multiplying to get the appropriate reading. You can get a more precise reading on the ruler with a smaller scale.
#$&*
• What factors do you have to consider in order to answer this question and how do they weigh into your final answer?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
A major factor to consider is the width of each tick mark on the ruler. They go into account for some error.
confidence rating #$&*:: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
------------------------------------------------
Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
#$&*
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Question: Answer the same questions as before, except assume that the triply-reduced ruler has no optical distortion, and that you also know the scale factor accurate to 4 significant figures.
• Which result is likely to be closer to the actual length of the pencil?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Well I was assuming before that there was no optical distortion. Had there been optical distortion, that would change my hypothesis on the ability to read the ruler accurately.
#$&*
• What factors do you have to consider in order to answer this question and how do they weigh into your final answer?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv .
Measure from the same side of the tick mark and get down to the most precise measurement possible for accurate concluding data. Human error is almost always present in these experiments.
confidence rating #$&*:: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
------------------------------------------------
Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
#$&*
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Question: Suppose you are to measure the length of a rubber band whose original length is around 10 cm, measuring once while the rubber band supports the weight of a small apple and again when it supports the weight of two small apples. You are asked to report as accurately as possible the difference in the two lengths, which is somewhere between 1 cm and 2 cm. You have available the singly-reduced copy and the triply-reduced copy, and your data from the optical distortion experiment.
• Which ruler will be likely to give you the more accurate difference in the lengths?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
For a distance between 1cm and 2cm, I’d use the triple reduced scale.
#$&*
• Explain what factors you considered and how they influence your final answer.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
I want a more precise measurement and I believe I could obtain that with the triply reduced ruler.
confidence rating #$&*:: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
------------------------------------------------
Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
#$&*
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Question: Later in the course you will observe how the depth of water in a uniform cylinder changes as a function of time, when water flows from a hole near the bottom of the cylinder. Suppose these measurements are made by taping a triply-reduced ruler to the side of a transparent cylinder, and observing the depth of the water at regular 3-second intervals.
The resulting data would consist of a table of water depth vs. clock times, with clock times 0, 3, 6, 9, 12, ... seconds. As depth decreases the water flows from the hole more and more slowly, so the depth changes less and less quickly with respect to clock time.
Experimental uncertainties would occur due to the optical distortion of the copied rulers, due to the spacing between marks on the rulers, due to limitations on your ability to read the ruler (your eyes are only so good), due to timing errors, and due to other possible factors.
Suppose that depth changes vary from 5 cm to 2 cm over the first six 3-second intervals.
Assume also that the timing was very precise, so that there were no significant uncertainties due to timing.
• Based on what you have learned in experiments done through Assignment 1, without doing extensive mathematical analysis, estimate how much uncertainty would be expected in the observed depths, and briefly explain the basis for your estimates. Speculate also on how much uncertainty would result in first-difference calculations done with the depth vs. clock time data, and how much in second-difference calculations.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Each graph would be uncertain and when finding the velocity and acceleration, the graph would be even more extremely uncertain.
confidence rating #$&*:: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
------------------------------------------------
Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
#$&*
• How would these uncertainties affect a graph of first difference vs. midpoint clock time, and how would they affect a graph of second difference vs. midpoint clock time?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Each graph would be uncertain and when finding the velocity and acceleration, the graph would be even more extremely uncertain
#$&*
• How reliably do you think the first-difference graph would predict the actual behavior of the first difference?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
The first-difference graph would predict the actual behavior pretty well as a visual reference, but you could not depend on the actual numbers.
#$&*
• Answer the same for the second-difference graph.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Same for the second-difference graph, however it would be less reliable than the first-difference graph since the errors are amplified.
#$&*
• What do you think the first difference tells you about the system? What about the second difference?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
The first difference tells you the difference between each depth. The second difference shows you the distance to the midpoint value between the first differences.
confidence rating #$&*:: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
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Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
#$&*
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Question: Suppose the actual second-difference behavior of the depth vs. clock time is in fact linear. How nearly do you think you could estimate the slope of that graph from data taken as indicated above (e.g., within 1% of the correct slope, within 10%, within 30%, or would no slope be apparent in the second-difference graph)?
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
If the actual second difference behavior of the depth vs. clock time is linear, then i feel like I could estimate the slope of the graph within 1% of the correct slope, since it is linear and it is easier to determine the slope of a linear line.
#$&*
Again no extensive analysis is expected, but give a brief synopsis of how you considered various effects in arriving at your estimate.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
I considered the fact that if it was linear, then the data would all be fairly accurate, and if I used my skills of determining the slope of a linear line I feel as though I could get very close to the actual slope.
#$&*
confidence rating #$&*: (Type in a number from 0 to 3, indicating your level of confidence in your solution.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution
2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution
1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing
0 means that you're pretty sure you didn't get anything right)
Response: 3
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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)
OK
------------------------------------------------
Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.
Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.
• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.
• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand
• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand
• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)
OK
"
Self-critique (if necessary):
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Self-critique rating:
________________________________________
#$&*
Good responses. Let me know if you have questions.