The siren on an ambulance is emitting a sound whose frequency is 2050 Hz. The sp

Question

The siren on an ambulance is emitting a sound whose frequency is 2050 Hz. The speed of sound is 343 m/s. (a) If the ambulance is stationary and you (the "observer") are sitting in a parked car, what are the wavelength and the frequency of the sound you hear? (b) Suppose that the ambulance is moving toward you at a speed of 26.9 m/s. Determine the wavelength and the frequency of the sound you hear. (c) If the ambulance is moving toward you at a speed of 26.9 m/s and you are moving toward it at a speed of 11.0 m/s, find the wavelength and frequency of the sound you hear.

Explanation / Answer

n = 2050 Hz c = n ? = 343 m/s a ) ? = 343/ 2050 = 0.167 m . n = 2050Hz b) Source is moving and observer is at rest. n’ = c n /(c-Vs) = 343 * 2050/ ( 343 –26.9 ) = 2224.45 Hz ? = 343/ 2224.25 = 0.154m c) Source and observer are moving toward each other n’ = ( c + Vo) n /(c-Vs) = ( 343 + 11)* 2050 / ( 343 –26.9 ) n’ = 2295.79 Hz ? = 343/ 2295.79 = 0.149 m

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