(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The sound source of a ship's sonar system operates at a frequency of 23.0 kHz. The speed of sound in water is 1482 m/s.

What is the difference in frequency between the directly radiated waves and the waves reflected from a whale traveling straight toward the ship at 5.00 m/s? The ship is at rest in the water.

2. Relevant equations

fL= fS(v+vL)/(v+vS)

3. The attempt at a solution

I got the first part of the question, which was to find the wavelength. The wavelength is 6.44*10^(-2) m. For the second part, I calculated the frequency of the directly radiated waves and got 23,012.4 Hz. Then, I used the Doppler effect equation and got the frequency that the whale heard, which was 23077 Hz. I used that frequency to determine the reflection, and I got 23,000 Hz. The difference was 12 Hz, which was wrong. Can someone help me with what I'm doing wrong? Thanks!

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# Homework Help: Doppler Effect of ship sonar

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