What is the frequency heard by a person driving at

Edith Mayer

Edith Mayer

Answered question

2022-05-20

What is the frequency heard by a person driving at 15 m/s toward a blowing factory whistle (800. Hz) if the speed of sound is 340.6 m/s?

Answer & Explanation

Julius Johnston

Julius Johnston

Beginner2022-05-21Added 17 answers

We use the formula
f 0 = ( v  f s ) / ( v  v p )
Here, ' f 0 ' means observed frequency, 'v' means speed of sound in air, ' f s ' means frequency of the source (blowing factory whistle) and ' v p ' is the speed of the person moving towards the whistle.
The velocities are removed since the person is travelling in the direction of the whistle.
The individual is moving closer, which causes the observed frequency to be greater than the whistle's frequency, resulting in a smaller observed wavelength. Wavelength is inversely proportional to frequency based on this formula ( v = λ f). So frequency should be higher.
You ought to be able to determine the solution by substituting the values.
f 0 = ( 340.6 × 800 ) ÷ ( 340.6  15 ) = 836.9 H z

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