Question

A bystander hears a siren vary in frequency from 554 Hz to 390 Hz as a...

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.)

Homework Answers

Answer #1

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

-----------------------------

Case 1: Fire truck approaching

(observer is standing still)

----------

-------------(1)

--------------------------------

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)

----------

---------------(2)

-----------

From (1) and (2)

ANSWER: Speed of truck =59.65 m/s

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