Part a cyclist is traveling at a constant velocity of 5.00m/s. the cyclist approaches a stationary musician playing a note frequency 281hz. the air is still and the speed of sound is 340m/s. what is the frequency of the note that the cyclist hears?
a. 290hz
b. 283hz
c. 277hz
d. 285hz
part b. a cyclist is traveling at a constant velocity of 5.00m/s. the cyclist approaches a stationary musician playing a note frequency 281hz. the air is still and the speed of sound is 340m/s. what is the frequency of the note that cyclist hears after he passes the musician?
a. 270hz
b. 277hz
c. 274hz
d. 284hz

A) D. 285Hz

We can solve the problem by using the Doppler effect formula:

where

f' is the apparent frequency

v = 340 m/s is the velocity of the sound wave

is the velocity of the observer (the cyclist, in this case), which is negative because the cyclist is moving towards the sound source

is the velocity of the sound source (zero, in this case, since the musician is stationary)

f = 281 Hz is the original frequency

Substituting into the equation, we find:

B)  B. 277 Hz

Similarly, we can solve the problem by using the Doppler effect formula:

where

f' is the apparent frequency

v = 340 m/s is the velocity of the sound wave

is the velocity of the observer (the cyclist, in this case), which is now positive because the cyclist is moving away from the sound source

is the velocity of the sound source (zero, in this case, since the musician is stationary)

f = 281 Hz is the original frequency

Substituting into the equation, we find:

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