Two train whistles. A and B each have a frequency of 388 Hz A is stationary and

Question

Two train whistles. A and B each have a frequency of 388 Hz A is stationary and B is moving toward the right (away from A) at a speed of 35.0 m/s. A listener is between the two whistles and is moving toward the right with a speed of 15.0 m/s. What is the frequency from A as heard by the listener? Express your answer in hertz to three significant figures. What is the frequency from B as heard by the listener? Express your answer in hertz to three significant figures. What is the beat frequency detected by the listener? Express your answer in hertz as an integer.

Explanation / Answer

f1 = (f*(v-vL))/v

f1 = (388*(343-15))/343 = 371 Hz

B)

f2 = (f*(v+vL))/(V+VB)

f2 = (388*(343+15))/(343+35)

f2 = 367.5 Hz

C)

beat frequency = f1 - f2 = 3.5 Hz

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