If you were to do the complete solution for pendulum motion, where sin is included, you would nd the following corrected formula:

If you were to do the complete solution for pendulum motion, where sin θ is included, you would ﬁnd the following corrected formula: T = 2π /g(1 + θ2 max/16 + · · · ), where θmax is the maximum angle of the pendulum’s swing in radians, and the · · · are even smaller terms that we can ignore. Compute the simple and the corrected value for T for 10, 20, and 60 degree maximum angle swings for a 1 m pendulum.

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