Sonar is a device that uses reflected sound waves to measure underwater depths. If a sonar signal has a frequency of 288 Hz and the speed of sound in water is 1,498 m/s, what is the wavelength of the sonar signal?
Question
Sonar is a device that uses reflected sound waves to measure underwater depths. If a sonar signal has a frequency of 288 Hz and the speed of sound in water is 1,498 m/s, what is the wavelength of the sonar signal?
Solution
To find the wavelength of the sonar signal, we can use the formula for wave speed:
v = f * λ
where: v is the speed of the wave (in this case, the speed of sound in water), f is the frequency of the wave (in this case, the frequency of the sonar signal), and λ is the wavelength of the wave (which we are trying to find).
We can rearrange this formula to solve for λ:
λ = v / f
Substituting the given values:
λ = 1498 m/s / 288 Hz = 5.2 m
So, the wavelength of the sonar signal is approximately 5.2 meters.
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