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Expert-verified Found in: Page 443 ### Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718 # What is the length of a simple pendulum whose full swing from left to right and then back again takes 3.2 S ?

The length of a simple pendulum is 2.54.

See the step by step solution

## Step 1: The given data

Full swing time is3.2 s .

## Step 2: Understanding the concept of the period of Simple Harmonic Motion

Using the formula for the period of a simple pendulum, we can find the length of a simple pendulum.

Formula:

The time period of a simple pendulum in SHM,

$T=2\pi \sqrt{\frac{L}{g}}$

## Step 3: Calculation of the length of the pendulum

Using equation (i), we have the value of the length of the pendulum as:$L=\frac{{T}^{2}g}{4\pi }\phantom{\rule{0ex}{0ex}}=\frac{3.2{s}^{2}×9.8m/{s}^{2}}{4{\pi }^{2}}\phantom{\rule{0ex}{0ex}}=2.54m\phantom{\rule{0ex}{0ex}}$

Hence, the required value of length is 2.54m. ### Want to see more solutions like these? 