SPEED LIMIT NE 25 YOUR SPEED Ⓡ Police radar guns measure the speed of moving vehicles by transmitting electromagnetic waves at a vehicle and detecting a Doppler shift in the reflected wave. Suppose a police radar transmits at a frequency of 25.8 GHz and receives a wave reflected from a car moving toward the radar at 67.0 mph. (a) Find the frequency shift Af = fo- fs (in Hz) between the observed (received) and source (transmitted) frequencies. X Hz (b) If the beat frequency measurement in part (a) is accurate to +5.5 Hz, how accurate is the speed measurement? x m/s
SPEED LIMIT NE 25 YOUR SPEED Ⓡ Police radar guns measure the speed of moving vehicles by transmitting electromagnetic waves at a vehicle and detecting a Doppler shift in the reflected wave. Suppose a police radar transmits at a frequency of 25.8 GHz and receives a wave reflected from a car moving toward the radar at 67.0 mph. (a) Find the frequency shift Af = fo- fs (in Hz) between the observed (received) and source (transmitted) frequencies. X Hz (b) If the beat frequency measurement in part (a) is accurate to +5.5 Hz, how accurate is the speed measurement? x m/s
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Transcribed Image Text:Ⓒ Cengage Learning/Ed Dodd
SPEED
LIMIT
25
YOUR SPEED
Police radar guns measure the speed of moving vehicles by transmitting electromagnetic waves at a vehicle and detecting a Doppler shift in the reflected wave. Suppose a police radar transmits at a
frequency of 25.8 GHz and receives a wave reflected from a car moving toward the radar at 67.0 mph.
(a) Find the frequency shift Af = f - fs (in Hz) between the observed (received) and source (transmitted) frequencies.
X Hz
(b) If the beat frequency measurement in part (a) is accurate to ±5.5 Hz, how accurate is the speed measurement?
X m/s
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