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 23.8 GHz and receives wave reflected from a car moving toward the radar at 75.0 mph. (a) Find the frequency shift Af=fo - fg (in Hz) between the observed (received) and source (transmitted) frequencies. Hz (b) If the beat frequency measurement in part (a) is accurate to +5.5 Hz, how accurate is the speed measurement? m/s

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SPEED
LIMIT
25
YOUR SPEED
A photo shows a police radar on wheels
that indicates on a digital display the
speed of a car. The display currently reads
"22". It also has a board indicating that
the speed limit is 25.
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 23.8 GHz and receives a
wave reflected from a car moving toward the radar at 75.0 mph.
(a) Find the frequency shift Af = fo- f (in Hz) between the observed (received) and source (transmitted) frequencies.
Hz
(b) If the beat frequency measurement in part (a) is accurate to +5.5 Hz, how accurate is the speed measurement?
m/s
Transcribed Image Text:SPEED LIMIT 25 YOUR SPEED A photo shows a police radar on wheels that indicates on a digital display the speed of a car. The display currently reads "22". It also has a board indicating that the speed limit is 25. 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 23.8 GHz and receives a wave reflected from a car moving toward the radar at 75.0 mph. (a) Find the frequency shift Af = fo- f (in Hz) between the observed (received) and source (transmitted) frequencies. Hz (b) If the beat frequency measurement in part (a) is accurate to +5.5 Hz, how accurate is the speed measurement? m/s
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