A grouop of storm chasers are in hot pursuit of tornado outside of topeka, Kansa

Question

A grouop of storm chasers are in hot pursuit of tornado outside of topeka, Kansas. As they pass through town, they approach a stationary tornado siren and measure the frequency to be 520 Hz. As they Drive past the riser, the measured frequency drops to 420 Hz. How fast are they driving?

The speed of shound in the air is 343 m/s

Doppler Effect The speed of sound in air is 343 m/6. A group of storm chasers are in hot pursuit of a tornado outside of Topeka, Kansas. As they pass through town, they approach a stationary tornado siren and measure the frequency to be 520 Hz. As they drive past the siren, the measured frequency drops to 420 Hz. How fast are they driving?

Explanation / Answer

speed of source=speed of tornado=0

speed of receiver=v(let)

speed of sound=343 m/s

so frequency f observed when they are approaching the tornado:

520=((343+v)/(343-0) )*F

when they are leaving

420=((343-v)/343 )* F

dividing,

52/42=(343+v)/(343-v)

v=36.489 m/s

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