Q.22

Expert-verified
Found in: Page 451

### 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 hammer taps on the end of a 4.00-m-long metal bar at room temperature. A microphone at the other end of the bar picks up two pulses of sound, one that travels through the metal and one that travels through the air. The pulses are separated in time by 9.00 ms . What is the speed of sound in this metal?

The speed of sound in the metal bar is 1502.74 m/s.

See the step by step solution

## Given information:

The length of the metal bar is

The time separation between the pulses is

The velocity of the sound wave in air is

## Calculating the time taken at the end of the bar where the hammer is tapped:

The formula to calculate the time taken through the air is given by

Substitute 4m for d and 343 m/s for into the above formula to calculate the time taken .

The separation time of the two pulses is given by where t1 is the time taken by the pulses travelling through the metal bar

Substitute 0.01166s for t2 and for into the above formula to calculate the time taken by the pulses through the bar.

## Calculating the speed of the sound through the metal:

The formula to calculate the velocity of the sound through the material is given by :

Substitute 4m for d and for t1 into the above formula to calculate the velocity.