A simple pendulum has length 20cm.it was displaced at an angle 15^o and then released to execute simple harmonic motion. How much time is required for the pendulum to reach maximum speed?

gaby131o 2022-09-22 Answered
A simple pendulum has length 20cm.it was displaced at an angle 15 and then released to execute simple harmonic motion. How much time is required for the pendulum to reach maximum speed?
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Answers (1)

Mario Dorsey
Answered 2022-09-23 Author has 12 answers
The time period of a pendulum of length l is given by
2 π l g
While this formula is valid only for small angles of oscillation, this works pretty well for an amplitude of 15 (in fact the error between the "exact" time period and this one becomes 1% only when the amplitude is 23 ). For the present case, we have
T = 2 × 3.14 × 0.2 m 9.8 m s 2 = 0.9 s
The object will reach its highest speed at the lowest point of its trajectory - and this will be at a time given by T 4 0.22 s
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