Question

In: Physics

Two truckers are traveling directly away from each other at the same speed. If one trucker...

Two truckers are traveling directly away from each other at the same speed. If one trucker sounds her horn at a frequency of 236 Hz, and the other trucker hears a frequency of 223 Hz, determine the speed of the trucks. Use the speed of sound as 343 m/s.

Expert Solution

Given the actual frequency of the horn of the source truck f = 236Hz, the frequency heard by the listener truck is f' = 223Hz and the speed of the sound v = 343m/s. Let and be the speed of source and listener truck respectively. Using Doppler equation, the apparent frequency heared by the listener is given by

Since the source and listener are receding fom each other, is negative and is positive. Therefore,

Here the speed of the source and listener are same. So . Now,

So the speed of the trucks is 9.71m/s.

genius_generous answered 2 years ago

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