Physics: Amotorcycle and a police car are moving toward one another. the police car emits sound with a frequency of 523 hz and has a speed of 32.2 m s. the motorcycle has a speed of 14.8 m s. what frequency does the motorcyclist hear?

7.86×4.6=361.56 is the answer....

Amotorcycle and a police car are moving toward one

Ответ:

gladysspeedie3oxu2ce

11.01.2022

To solve this problem it is necessary to apply the concepts related to Dopler's Law. Dopler describes the change in frequency of a wave in relation to that of an observer who is in motion relative to the Source of the Wave.

It can be described as

$f = \frac{c\pm v_r}{c\pm v_s}f_0$

c = Propagation speed of waves in the medium

v_r = Speed of the receiver relative to the medium

v_s = Speed of the source relative to the medium

f_0 = Frequency emited by the source

The sign depends on whether the receiver or the source approach or move away from each other.

Our values are given by,

$v_s = 32.2m/s \rightarrow$ Velocity of car

$v_r = 14.8 m/s \rightarrow$ velocity of motor

$c = 343m/s \rightarrow$ Velocity of sound

$f_0 = 523Hz \rightarrow$ Frequency emited by the source

Replacing we have that

$f = \frac{c + v_r}{c - v_s}f_0$

$f = \frac{343 + 14.8}{343 - 32}(523)$

f = 601.7Hz

Therefore the frequency that hear the motorcyclist is 601.7Hz

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Amotorcycle and a police car are moving toward one another. the police car emits sound with a frequency of 523 hz and has a speed of 32.2 m > s. the motorcycle has a speed of 14.8 m > s. what frequency does the motorcyclist hear?

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