1.The assumption that the period is independent of the amplitude is only approximately true. Suppose the period changes by 2½% when starting at 30° instead of when starting at 10°. Suppose that for the single swing measurements of a pendulum had an average period of 1.00 s, with a standard deviation of 0.03 s and a standard error of 0.01 s. How many repetitions of the single period measurement would have to be made of the 30° swings to say that this difference was statistically significant? i.e., how many swings on average would have to be measured before the SET failed?
2006-10-08 22:43:16 · 5 answers · asked by 3ajeeba_q8 2 in Science & Mathematics ➔ Physics
Given that single 30 degree swing period everage, P(avg) = 1.00 +/- 0.01 seconds, and σ, the standard deviation, = 0.03 sec
We want to know how many repetition is required so that the difference is statically significant:
standard error is σ(avg) = σ/sqrt(N) => N = 9
How many swings on average have to be made before the SET fails?
If the Standard Error is greater or equal to than 2.5%, then the SET fails, because then the error is no loger attributed to statical error but due to the period being dependent on the amplitude.
2006-10-09 01:00:23 · answer #1 · answered by PhysicsDude 7 · 0⤊ 0⤋
This is the same question that made me drop out of college. I've done o.k. since, and I'm sure you will too.
2006-10-09 05:51:41 · answer #2 · answered by Thursdays 3 · 0⤊ 0⤋
I am lost
2006-10-09 05:45:51 · answer #3 · answered by girly girl 2 · 0⤊ 0⤋
http://galileo.rice.edu/lib/student_work/experiment95/galileo_pendulum.html
2006-10-09 05:52:47 · answer #4 · answered by Anonymous · 0⤊ 0⤋
u Blew me!
2006-10-09 05:46:58 · answer #5 · answered by Talha R 2 · 0⤊ 0⤋