Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

An oscillating block–spring system takes 0.75 s to begin repeating its motion.
Find the period.
Find the frequency in hertz.
Find the angular frequency in radians per second.

Time period is 0.75 sec.
Frequency in Hz is 1.3 Hz.
Angular frequency in rad/sec is 8.4 rad/s.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Stating the given data

The time period of oscillation is 0.75 sec.

Step 2: Understanding the concept of simple harmonic motion

The time period is the time required to complete one complete cycle. We use this concept to find the time period. Once we know the time period, we can find the frequency and angular frequency by using the basic formula in SHM.

Formula:

The time period of a body in oscillation

$T = \frac{1}{f}$ (i)

Angular frequency of a body in oscillation

$ω = 2 \times π \times f$ (ii)

Step 3: a) Calculation of time period

Time taken to complete one cycle is the time period that is the time taken for repeating the motion.

So, the time period is $T = 0.75 \sec$ .

Step 4: b) Calculation of frequency

Using equation (i), the frequency of a body is given as

$\begin{array}{rcl} f & = & \frac{1}{T} \\ = & \frac{1}{0.75} \\ = & 1.3 Hz \end{array}$

Hence, the value of frequency is $1.3 Hz$ .

Step 5: c) Calculation of angular frequency

Using equation (ii), the angular frequency is given as

$\begin{array}{rcl} ω & = & 2 π \times 1.3 \\ = & 8.17 rad / \sec \end{array}$

Hence, the value of angular frequency is $8.17 rad / \sec$ .

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Fundamentals Of Physics

Answers without the blur.

Short Answer

An oscillating block–spring system takes 0.75 s to begin repeating its motion.
Find the period.
Find the frequency in hertz.
Find the angular frequency in radians per second.

Step by Step Solution

Step 1: Stating the given data

Step 2: Understanding the concept of simple harmonic motion

Step 3: a) Calculation of time period

Step 4: b) Calculation of frequency

Step 5: c) Calculation of angular frequency

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Short Answer

An oscillating block–spring system takes 0.75 s to begin repeating its motion. Find the period.Find the frequency in hertz.Find the angular frequency in radians per second.

Step by Step Solution

Step 1: Stating the given data

Step 2: Understanding the concept of simple harmonic motion

Step 3: a) Calculation of time period

Step 4: b) Calculation of frequency

Step 5: c) Calculation of angular frequency

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An oscillating block–spring system takes 0.75 s to begin repeating its motion.
Find the period.
Find the frequency in hertz.
Find the angular frequency in radians per second.