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January 31, 2015

January 31, 2015

Posted by **Jessica** on Thursday, December 9, 2010 at 6:47pm.

With what frequency does it oscillate?

- Physics -
**MathMate**, Friday, December 10, 2010 at 8:58amThe period of a simple pendulum of length L with small amplitudes is

T=2π√(L/g)

Frequency is the reciprocal of period, T.

For small amplitudes, it is (approximately) not dependent on the mass nor the amplitude (angle).

For higher amplitudes, or greater accuracy, the following series expansion can be used:

T=2π√(L/g)*(1+θ²/16+11θ^4/3072+...)

which turns out to be:

1.5353 s. instead of 1.5278 s. using the simple formula.

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