An important practical application of the Doppler effect is the use of radar to deter- mine the speed of a moving object. In this case the Doppler shift of the electromagnetic radar signal reflected from the moving object is directly proportional to the radial speed of the moving object with respect to the radar transmitter.
a) An important practical application of the Doppler effect is the
use of radar to deter- mine the speed of a moving object. In this case the Doppler shift of the electromagnetic radar signal reflected from the moving object is directly proportional to the radial speed of the moving object with respect to the radar transmitter.
If a police radar transmitter radiates at 11 GHz, calculate the frequency shift observed by the police for a car traveling at 55 mi/h. Keep only terms to first order in v/c . Answer is terms of Hz Use 1 mi/h=.447 m/s
b) Find the frequency shift for a car traveling at 72 mi/h.
Answer in units of Hz.
c) What measurement precision in frequency is required to distinguish between the (speeds of the) two cars? State your answer as a fraction, ∆f/f .
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