hey guys i think its well know the period of a pendulum is 2*pi*root(l/g)(adsbygoogle = window.adsbygoogle || []).push({});

which works fine except!...

i've written a small program to model how the bob of a pedulum moves, due to the net forces experienced by it, namely the tension in the wire which is the result of the bobs weight and the centripedal force due to is angular velocity. and the results my prog has spat out are interesting

*when the bob is initially disturbed from its zero position by a very small angle the period is indeed matched my 2*pi*root(l/g)

however

when the bob is initally disturbed by a significant angle (anything from 10 to 89.9 degrees) the period returned by the program is larger than

2*pi*root(l/g)

also the larger the inital disturbance the longer the period becomes.

now what i really want to know is have i made a mistake in my programming!

or

is the reason for the period not agreeing with 2*pi*root(l/g), that the derivation of this formula does not include centripedal force as its assuming it to be so small, due to angular velocity being small, due to the initial disturbace being so small?

and if so then why dont they tell you that in school or college!

all replies appreciated

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# The period of a pendulum

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