fb_dundooah_218 - 0/35 Winter Quarter 2008 Experiment...

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0 /35 Winter Quarter 2008 Experiment: Falling Bodies Your name: Anish Dundoo Partner: James Schaefer Performed on: January 28 th , 2008 TA: Hyundeok Song Section number: 218 Promptness % (100 means it was on time): 100 Additional Scores (+)/Penalties (-): Abstract (4) The intention of this experiment is to find the acceleration due to gravity and see if it is close to the actual value of the force due to gravity. The average time of 0.123 seconds was taken by the ball to reach the landing pad when thrown from a height of 7.1cms. 10 trials were taken in this case. Twenty measurements of time were then taken from 21.4cm to 74.1cm with increments of about 2cm along with the final time take from the ball dropper to the floor (171.1cm). There was an u{t}=.0018sec (found with the standard deviation function on excel) and u{x}=.1cm. The least squares fit or LINEST function on excel was used to calculate the slope of gravity acceleration of a free falling body. The experimental value that was calculated resulted in 9.8 ± 0.2 m/ s2 while the actual value is 9.8 m/ s2 . This experiment is evidently very accurate since the measured value and the actual value almost agree completely. Sample Calculations (5)   Calculating Velocity: = V 2xt = * . V 2 21 4 . × cm 2082sec 1m100cm = . . V 42 8m20 82sec = . V 2 06msec Calculating the uncertainty of velocity: = { } + { } uvelocity vu distance distance2 u time time2 = . . . + . . uv 2 80ms0 1cm41 9cm2 0 0018s0 2995s2 = . . uv 2 80ms0 1 . + . . cm41 9cm2 0 0018s0 2995s2 = . ( . ) uv 2 80ms 0 0000418 = . ( . ) uv 2 80ms 0 00646
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Error: Reference source not found, 09/17/04, Error: Reference source not found = uv 0.018 ms Calculating the average time taken for the ball to reach the landing pad from the initial distance (7.1cms): = A Total Time Total Trials = . A 1 230sec10 =. A 1230sec
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