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PHY 121
Your 'initial timing experiment' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
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1/27/12 9:00 AM
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Note: The majority of student report taking less than an hour on this experiment, though a few report significantly longer times.
Take reasonable care to get good data in this experiment. Try to do the timing as accurately as possible. Measurements of length, height, etc. should be reasonably accurate (e.g., with a meter stick or ruler you can measure to withing +- 1 millimeter, but it's not necessary to try to determine fractions of a millimeter).
In this experiment you will use the TIMER program, a hardcover book, the toy car that came in your lab materials package (or, if you do not yet have the package, a cylinder or some other object that will roll along the book in a relatively straight line), and a ruler or the equivalent (if you don't have one, note the Rulers link, which is also given on the Assignments page).
The book's cover should be straight and unbent.
The toy car (or other object) should roll fairly smoothly.
Place the book on a flat level tabletop. You will prop one end of the book up a little bit, so that when it is released the object will roll without your assistance, gradually speeding up, from the propped-up end to the lower end. However don't prop the end up too much. It should take at least two seconds for the ball to roll down the length of the book when it is released from rest. For a typical book, a stack of two or three quarters placed under one end works well.
Using the TIMER program determine how long it takes the ball to roll from one end of the ramp to the other, when released from rest. Once you've got the book set up, it takes only a few seconds to do a timing, so it won't take you long to time the object's motion at least three times.
Determine how far the object travels as it rolls from its initial position (where you first click the timer) to its final position (where you click at the end of the interval). This will probably be a bit less than the length of the book, due to the length of the object itself.
Determine how much higher one end of the book was than the other, and how far it is from the supports (e.g., the stack of quarters, or whatever you used to support one end) to the end of the book which rests on the table.
Then reverse the direction of the book on the tabletop, rotating the book an its supports (e.g., the stack of quarters) 180 degrees so that the ball will roll in exactly the opposite direction. Repeat your measurements.
In the box below describe your setup, being as specific as possible about the book used (title, ISBN) and the object being used (e.g., a can of vegetables (full or empty; should be specified) or a jar (again full or empty); anything round and smooth that will upon release roll fairly slowly down the incline), and what you used to prop the object up (be as specific as possible). Also describe how well the object rolled--did it roll smoothly, did it speed up and slow down, did it roll in a straight line or did its direction change somewhat?
your brief discussion/description/explanation:
Mathematics for 3d Game Programming And Computer Graphics 3rd edition (ISBN: 978-1435458864) 23.876cm long
The toy car from the lab materials
The book was supported by 4 metal washers
The car rolled smoothly, starting out slowly and speeding up as it moved down the book and in a straight line.
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In the space indicated below report your data. State exactly what was measured, how it was measured, how accurately you believe it was measured and of course what the measurements were. Try to organize your report so the reader can easily scan your data and identify any patterns or trends.
your brief discussion/description/explanation:
Car travel distance: 20.5 cm
Book height: .5cm
Distance to supports: 22.5 cm
Run 1: 2.123047 seconds
Run 2: 2.125 seconds
Run 3: 2.166016 seconds
Reversed Run 1: 2.189453 seconds
Reversed Run 2: 2.224609 seconds
Reversed Run 3: 2.195313 seconds
The measurements are accurate for the book setup. The first runs are close but subject to human error as is obvious in the final run being signifcantly longer than the first two. I believe the third is likely a result of a failure to start or stop the timer at the precise moment I should have. The reversed runs were also not perfectly accurate with the second being suspect. They were also shorter which I think has to do with inexact placement of the washers compared to the first runs.
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Using your data determine how fast the object was moving, on the average, as it rolled down the incline. Estimate how accurately you believe you were able to determine the object's average speed, and give the best reasons you can for your estimate of the accuracy.
your brief discussion/description/explanation:
Run 1: 20.5/2.123047 = 9.6559cm/sec
Run 2: 20.5/2.125 = 9.6471cm/sec
Run 3: 20.5/2.166016 = 9.4644cm/sec
I believe the average speed of the first two runs are nearly accurate since both are about equal. Run 3 is off from the first two and is probably not accurate due to poor data.
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How fast was the object moving at the beginning of the timed interval?
According to your previous calculation, what was its average speed during this interval?
Do you think the object, when it reached the lower end of the book, was moving at a speed greater or less than the average speed you calculated?
your brief discussion/description/explanation:
The car began at rest and then increased in speed very slowly. The average speed for the runs is around 9.65cm/sec and the final speed is greater than the beginning speed.
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List the following in order, from least to greatest. Indicate 'ties': The object's initial speed, its final speed, its average speed, and the change in its speed as it rolled from one end of the book to the other.
your brief discussion/description/explanation:
initial speed
average speed
tie: final speed and change in speed
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Devise and conduct an experiment to determine whether or not the object is speeding up as it rolls down the incline. If you have set the experiment up as indicated, it should seem pretty obvious that the object is in fact speeding up. But figure out a way to use actual measurements to support your belief.
Explain how you designed and conducted your experiment, give your data and explain how your data support your conclusions.
your brief discussion/description/explanation:
I set up a marker at the halfway point of the book and clicked the timer when the car passed that point. I conducted the rest of the experiment as normal.
Amount of time to midway point: 1.681641 seconds 11.938cm/1.681641 = 7.099cm/sec
Amount of time from midway to end of book:.6601563 seconds 11.938/.6601563 = 18.0836cm/sec
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Your instructor is trying to gauge the typical time spent by students on these experiments. Please answer the following question as accurately as you can, understanding that your answer will be used only for the stated purpose and has no bearing on your grades:
Approximately how long did it take you to complete this experiment?
40 minutes
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You may also include optional comments and/or questions.
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&#Very good data and responses. Let me know if you have questions. &#