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.

Answer and Explanation:

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}


Learn more about this topic:

Loading...
Simple Harmonic Motion (SHM): Definition, Formulas & Examples

from AP Physics 1: Exam Prep

Chapter 11 / Lesson 2
559K

Related to this Question

Explore our homework questions and answers library