An ambulance with a siren emitting a whine at 1570 hz overtakes and passes a cyclist pedaling a bike at 2.45 m/s. after being passed, the cyclist hears a frequency of 1560 hz. how fast is the ambulance moving? (take the speed of sound in air to be 343 m/s.)

The speed of the ambulance is 4.66 m/s.

Explanation:

Given that,

The siren emitting a whine at 1570 Hz

The cyclist pedaling a bike at 2.45 m/s

The cyclist hears a frequency of 1560 Hz

We know that,

Speed of sound wave

We calculate the speed of the ambulance

Using Doppler effect,

Where,

= frequency of ambulance siren

= cyclist hears the frequency

=speed of source

= speed of observer

Put the value in to the formula

Hence, The speed of the ambulance is 4.66 m/s.

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