A bystander hears a siren vary in frequency from 554 Hz to 390 Hz as a fire truck approaches, passes by, and moves away on a straight street. What is the speed of the truck? (Take the speed of sound in air to be 343 m/s.)
Use Formula
where is the apparent frequency , is the actual frequency,
is the speed of sound
is the speed of observer
is the speed of truck
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Case 1: Fire truck approaching
(observer is standing still)
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-------------(1)
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Case 2: Fire truck moves away
(observer is standing still)
(direction of speed of truck and direction of speed of sound is in opposite direction)
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---------------(2)
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From (1) and (2)
ANSWER: Speed of truck =59.65 m/s
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