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Q115P

Expert-verifiedFound in: Page 443

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.

Full swing time is3.2 s .

** **

**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,

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

** **

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

Hence, the required value of length is 2.54m.

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