# Osciallations

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You pull a simple pendulum of length 0.237m to the side through an angle of 3.50 degrees and release it.

How much time does it take the pendulum bob to reach its highest speed?
Take free fall acceleration to be = 9.80 .

How much time does it take if the pendulum is released at an angle of instead of ?

• Osciallations -

The time to reach maximum speed after release is the time it takes to reach the lowest elevation, which is 1/4 of the period. The period is
P = 2 pi sqrt(L/g) = 0.977 s

1/4 of that is 0.244 s

Note that it is independent of how far up the pendulum is pulled

• Osciallations -

0.25 s, from T/4 where kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkqkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

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