Question

Sonar is used to determine the speed of an object. A 40 kHz signal is sent out, and a 42 kHz signal is returned. Assume the speed of sound is 345 m/s. How fast is the object moving?

Answer 1

Sonar is used to determine the speed of an object. The object is moving at 8.4146 m/s.

What is frequency?

The frequency of any wave is defined as the number of cycles per second.

The frequency of the sound received is

f' = f x [(V+Vo /V-Vo)]

where f = 40kHz, f' = 42kHz, V =345 m/s, then the velocity of the observer will be

(V+Vo /V-Vo) = 42/40 =1.05

On rearranging the doppler shift formula, we have

Vo = 0.05 x 345 /2.05

Vo = 8.4146 m/s.

Thus, the object is moving at 8.4146 m/s.

Learn more about frequency.

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