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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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?

Mario Dorsey · Accepted Answer

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 &quot;exact&quot; 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  sThe 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

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?

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