An opera singer in a convertible sings a note at 850 Hzwhile cruising down the highway...
An opera singer in a convertible sings a note at 850 Hzwhile cruising down the highway at 94 km/h . The speed of sound in the air is 343 m/s.
What is the frequency heard by a person standing beside the road in front of the car?
Express your answer to two significant figures and include the appropriate units.
f+ =
========================
Part B
What is the frequency heard by a person standing beside the road behind the car?
Express your answer to two significant figures and include the appropriate units.
f- =
Homework Answers
A )
f = actual frequency = 850 Hz
f' = observed frequency
V= speed of sound = 343 m/s
Vs = speed of source of sound = 94 km/h = 26.11 m/s
VL = speed of listener in front = 0 m/s
since the source is moving towards the listener at rest , we use the formula for observed frequency as
f' = (V- VL ) f / (V - Vs)
f' = (343 - 0) (850) / (343 - 26.11)
f' = 920.04 Hz
B)
when the source (car) moves away from the listener, observed frequency is given as
f' = (V- VL ) f / (V + Vs)
f' = (343 - 0) (850) / (343 + 26.11)
f' = 789.87 Hz
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