Q. 63

Expert-verified
Found in: Page 453

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A sinusoidal wave travels along a stretched string. A particle on the string has a maximum speed of 2.0 m/s and a maximum acceleration of 200 m/s2. What are the frequency and amplitude of the wave?

The frequency of the wave is

The amplitude of the wave is,

See the step by step solution

## Step 1: Given data

The string has a maximum speed of

The string has a maximum acceleration of

## Step 2: Determination of frequency

The maximum speed can be written by,

The maximum acceleration can be expressed by,

According to the question, we can write,

## Step 3: Determination of amplitude

The frequency of the wave can be obtained by,

Now, the amplitude of the wave can be determined by the expression of maximum speed,