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Fundamentals Of Physics
Found in: Page 443

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Short Answer

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 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=2πLg

Step 3: Calculation of the length of the pendulum

Using equation (i), we have the value of the length of the pendulum as:L=T2g4π =3.2s2×9.8m/s24π2 =2.54m

Hence, the required value of length is 2.54m.

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