A driver travels northbound on a highway at a speed of 26.0 m/s. A police car, t

Question

A driver travels northbound on a highway at a speed of 26.0 m/s. A police car, traveling southbound at a speed of 32.0 m/s, approaches with its siren producing sound at a frequency of 2550 Hz.

A driver travels northbound on a highway at a speed of 26.0 m/s. A police car, traveling southbound at a speed of 32.0 m/s, approaches with its siren producing sound at a frequency of 2550 Hz. (a) What frequency does the driver observe as the police car approaches? Hz (b) What frequency does the driver detect after the police car passes him? Hz (c) Repeat parts (a) and (b) for the case when the police car is traveling northbound. Hz while police car overtakes after police car passes

Explanation / Answer

a) f'' = [ (vs + vdriver) / (vs - vpolice) ] * f

= [343 + 26 / 343 - 32] * 2550

= 3025.6 Hz

b) f'' = [ (vs - vdriver) / (vs + vpolice) ] * f

= [343 - 26 / 343 + 32] * 2550

= 2155.6 Hz

c) f'' = [ (vs - vdriver) / (vs - vpolice) ] * f

= [343 - 26 / 343 - 32] * 2550

= 2599 Hz

d) f'' = [ (vs + vdriver) / (vs + vpolice) ] * f

= [343 + 26 / 343 + 32] * 2550

= 2509.2 Hz

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