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Y_Kistochka
2 months ago
6

A police car's siren operates at a frequency of 2,000 Hz. What frequency would a stationary listener observe if the police car i

s driving towards him at 65 mph? Note vsound = fλ, where vsound (the speed of sound in air) is 345 m/s. Also, 1 mile = 1.609 km.
Mathematics
1 answer:
AnnZ [12.3K]2 months ago
3 0

We can apply the formula

f_L=f_s(\frac{v_a-v_p}{v_a+v_p} )

where

fL signifies the listener's frequency

fs is the frequency of the siren

va represents the speed of sound in air

vs denotes the speed of the police car

so, we have

f_s=2000Hz

v_a=345m/s

v_p=65mph

Now, we can convert it to m/s

v_p=65*\frac{1609}{3600}m/s

v_p=29.05139m/s

Next, we'll substitute the values

f_L=2000(\frac{345-29.05139}{345+29.05139} )

f_L=1689.33263Hz..............Answer

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