# A pendulum swings with amplitude 0.02 m and period of 4.0 s . What is its maximum speed?

## Question:

A pendulum swings with amplitude 0.02 m and period of 4.0 s . What is its maximum speed?

## Simple Pendulum:

A simple pendulum is a device which has the Simple Harmonic Motion. The speed at the mean position of the motion is the maximum speed of the pendulum or we can say it has zero potential energy at the mean position.

Given Data

The amplitude of the motion{eq}(A) = 0.02 \ m {/eq}

Time period {eq}(T) = 4 \ s {/eq}

Now, the angular frequency of the motion

{eq}(w) = \dfrac{2\pi}{T} \\ w = \dfrac{2\pi}{4} \\ w = 1.57 \ rad/s {/eq}

Now, the maximum speed of the motion

{eq}v = wA \\ v = 1.57*0.02 \\ v = 0.0314 \ m/s {/eq}