#$&* course PHY 201 09/04/2011 10:13 PM Your answer (start in the next line): 8, 100, .6 12, 84, .75 16, 78, .77 24, 64, .94 32, 54, 1.1 44, 46, 1.3 64, 38, 1.6 88, 34, 1.8 your brief discussion/description/explanation: ************` #$&* 1. According to your graphs, complete the following tables length in cm number of cycles time for one cycle 10 30 50 70 90 110 130 Enter the numbers from your table in the space below with one line for each length. Each line should contain the length, number of cycles and time for one cycle, separated by tabs. Your answer (start in the next line): length in cm number of cycles time for one cycle 10 92 .68 30 53 1.0 50 43 1.5 70 37 1.65 90 34 1.8 110 31 1.95 130 28 2.1 #$&* length, count, period for given lengths length in cm number of cycles time for one cycle 10 30 50 70 90 Enter the numbers from your table in the space below with one line for each length. Each line should contain the length, number of cycles and time for one cycle, separated by tabs. Your answer (start in the next line): length in cm number of cycles time for one cycle 448 10 6.25 115 30 2.0 38 50 1.2 20 70 .86 11 90 .69 #$&* length, count, period for given counts length in cm number of cycles time for one cycle 0.5 0.9 1.3 1.7 2.1 2.5 Enter the numbers from your table in the space below with one line for each length. Each line should contain the length, number of cycles and time for one cycle, separated by tabs. Your answer (start in the next line): length in cm number of cycles time for one cycle 5 120 0.5 22 66 0.9 44 46 1.3 87 35 1.7 128 28 2.1 170 24 2.5 #$&* length, count, period for given periods 2. Is the graph of # of cycles vs. length in cm constant, increasing or decreasing? Is it doing so at an increasing, constant or decreasing rate? On this and on all questions, insert your answer after the 'Answer:' prompt, and include a brief explanation of how you arrived at your answer. Your answer (start in the next line): It is decreasing at a decreasing rate. #$&* graph of count vs length 3. Is the graph of time required for one cycle vs. length in cm constant, increasing or decreasing? Is it doing so at an increasing, constant or decreasing rate? Your answer (start in the next line): It is increasing at an increasing rate. #$&* graph of period vs length 4. How much difference is there between your first two lengths, and how much difference between the number of cycles counted in 60 seconds? Your answer (start in the next line): There is 4 cm difference between the first two lengths, and 16 fewer cycles per 60 second period. #$&* diff between lengths, between counts 5. How much difference is there between your first two lengths, and how much difference between the corresponding times required to complete a cycle? Your answer (start in the next line): There is 4 cm difference between the first two lengths, and 0.15 seconds increase in cycle time. #$&* diff between lengths, periods 6. How much difference is there between your last two lengths, and how much difference between the number of cycles counted in 60 seconds? Your answer (start in the next line): There is 24 cm difference between the last two lengths, and 6 fewer cycles per 60 second period. #$&* diff between last two lengths, counts 7. How much difference is there between your last two lengths, and how much difference between the corresponding times required to complete a cycle? Your answer (start in the next line): There is 24 cm difference between the last two lengths, and 0.2 seconds increase in cycle time. #$&* diff between last two lengths, periods 8. Is your graph of number of cycles counted vs. length in cm steeper, on the average, between the first two lengths or between the last two lengths? Your answer (start in the next line): It is steeper between the first two lengths. #$&* count vs. length steeper between 1st two or last two pts 9. Is your graph of time required to complete a cycle vs. length in cm steeper, on the average, between the first two lengths or between the last two lengths? Your answer (start in the next line): It is steeper between the first two lengths. #$&* period vs. length steeper between 1st two or last two pts 10. The curve you sketched for your graph of (time required to complete a cycle) vs. (length) cannot possibly pass through the center of each of your points. • What is the greatest vertical distance between a point of your graph and the curve? • What do you think is the least vertical distance? You will answer these questions at the 'your answer' prompt a little ways below. (For example, in the figure below a curve has been constructed based on three data points. The first and third data point lie slightly above the curve, the second point slightly below. The second point is probably the one which lies furthest from the curve, at a distance of approximately .03 vertical units below. This distance is roughly estimated based on the scale of the graph. The first point is perhaps .01 vertical units above the curve, and the third is perhaps .02 units above.) Your answer (start in the next line): The greatest vertical distance between a point on my graph and the curve is approximately .25 units and the least vertical distance is approximately .1 units. #$&* greatest, least vert dist between datapt and curve After the 'Your Answer' prompt below, insert your answers to the following : • Describe how you constructed your pendulum and out of what (what you used for the mass, its approximate dimensions, what it is made of, what sort of string or thread you used--be as specific as possible). • Describe its motion, including an estimate (you don't have to measure this, just give a ballpark estimate) of how far it swung from side to side and how this distance varied over the time you counted. • Describe what you mean by a 'cycle'. Different people might mean different things, but there are only a couple of reasonable meanings. As long as you describe what you mean we will all understand what you measured. • 'Frequency' means the number of cycles in a unit of time. Your counts are frequencies, in cycles/minute. 'Period' means time required for a cycle. Explain how you used your observed frequencies to obtain the periods of the nine pendulums in this experiment. Your answer (start in the next line): I constructed my pendulum out of a length of poly-cotton string and a lug nut. The lug nut is made of hardened steel and is approximately 2.7 cm long by 2.1 cm in diameter. It swung in a metered side to side motion with very little deviation. I swung it over a rule so I could roughly control the length of each cycle. I measured a cycle as the motion from a starting point, swinging out, and back to the starting point; the start point and end point for the cycle were the same point. Every period consisted of 60 seconds. I divided the period by the observed cycle count to find the time per cycle for each period. #$&* explanations with std terminology "