Set up an experiment that will allow you to determine the period of a vertical pendulum and find the equations that rela

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Set Up An Experiment That Will Allow You To Determine The Period Of A Vertical Pendulum And Find The Equations That Rela 1 (72.61 KiB) Viewed 14 times

Set up an experiment that will allow you to determine the period of a vertical pendulum and find the equations that relate the period of swing to the length of the string used, and the period of swing that relates to the mass of the pendulum. Prepare a nice looking lab report showing the process, data and interpretation of the data that allow a conclusion and the relational equations that the data determine. You will need string, a stopwatch( Cellphone?), and 3 differing masses you can connect to the end of the string that you tied up high a Suggestions - 1. Time 5 swing periods and average them to get a more accurate period. 2. Use a minimum of 3 masses you can tie to the string from light to heavier 3. Use lengths from 10 cm to the height of the room 4. Always try to start from some initial angle of say 30 degrees from the vertical - make up a crude protractor to help here, or find one, and start your timing after the first swing. 5. When you have data collected try various regression equations then actually look at the regression equation fit to the data as you try plots of period vs string length and period vs mass. Try on your calculator or Mathematica. Suggest you try the fit: Period = a*L'b. What equations did you find that gives the best fit, for period vs length and period vs mass? 6. Based on your choice of regression equation estimate the period of swing a 40 kg child would have on a 20 ft rope swing. Is this reasonable?, if not find a better regression equation. 7. Theoretical derivations result in the equation of the period of a vertical pendulum is T=2*Pi* (L/g).5. where I is in seconds, L is in Meters and pie is in apples ( no, 3.14 as usual), and g is our old friend. How close a match does your data come to this? R 2 =