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Chapter 15: Q115P (page 443)

What is the length of a simple pendulum whose full swing from left to right and then back again takes 3.2 S?

Short Answer

Expert verified

The length of a simple pendulum is 2.54.

Step by step solution

01

The given data

Full swing time is3.2 s .

02

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

03

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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Most popular questions from this chapter

Question: An oscillator consists of a block attached to a spring (k = 400 N/m). At some time t, the position (measured from the system’s equilibrium location), velocity, and acceleration of the block are, x =0.100 m,v = 13.6 m and a = 123 m/s2. Calculate (a) the frequency of oscillation,(b) the mass of the block, and (c) the amplitude of the motion.

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