ENGINEERING APPLICATION A stationary police radar gun

Chapter , Problem 43

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ENGINEERING APPLICATION A stationary police radar gun emits microwaves at 5.00 GHz. When the gun is aimed at a car, it superposes the transmitted and reflected waves. Because the frequencies of these two waves differ, beats are generated, with the speed of the car proportional to the beat frequency. The speed of the car, appears on the display of the radar gun. Assuming the car is moving along the line-of-sight of the police officer, and using the Doppler-shift equations, (a) show that, for a fixed radar-gun frequency, the beat frequency is proportional to the speed of the car. Hint: Car speeds are tiny compared to the speed of light. (b) What is the beat frequency in this case? (c) What is the calibration factor for this radar gun? That is, what is the beat frequency generated per of speed?

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