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A bystander hears a siren vary in frequency from 600 Hz to 394 Hz as a...

A bystander hears a siren vary in frequency from 600 Hz to 394 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.)

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Answer #1

Use formula

Where is apparent frequency

is real frequency

is speed of sound waves in air = 343 m/s

is speed of bystander =0 m/s (not moving)

is speed of source (fire truck)

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

Case 1 Fire truck approaches (speed of source and sound is in same direction)

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

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

Case 2 Fire truck moves away (speed of source and sound is in opposite direction)

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

==============

Divide Equation (2) by (1)

ANSWER:

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