Doppler Effect

         

As shown in the above diagram, person A A driving a car with speed vA=17 m/s v_A = 17 \text{ m/s} hears a siren sound with frequency fA=737 Hz f_ A = 737 \text{ Hz} at a distance of d=141 m d = 141 \text{ m} behind him, coming from an ambulance chasing his car with speed vam=34 m/s. v_{am} = 34 \text{ m/s}. What is the approximate frequency of the siren sound heard in the ambulance?

Assumption

  • The speed of sound is u=340 m/s. u = 340 \text{ m/s}.

An ambulance sounding a siren of frequency fam=687 Hz f_{am} = 687 \text{ Hz} is traveling towards a vertical reflecting wall with a speed of vam=15 m/s. v_{am} = 15 \text{ m/s}. If the wall is moving in same direction as the ambulance with a speed of vw=5 m/s, v_w = 5 \text{ m/s}, what is the approximate beat frequency heard by the driver of the ambulance?

Assumption

  • The speed of sound is u=340 m/s. u = 340 \text{ m/s}.

A person is riding a merry-go-round which has a radius of r=3 m r = 3 \text{ m} and an angular speed of ω=3 rad/s. \omega = 3 \text{ rad/s}. If the person starts to blow a whistle of frequency f=485 Hz, f= 485 \text{ Hz}, what is the approximate highest frequency heard by a listener at rest a long distance away?

Assumption

  • The speed of sound is u=340 m/s. u = 340 \text{ m/s}.

As shown in the above diagram, person A A drives a car with speed v=16 m/s v = 16 \text{ m/s} at a distance of d=119 m d = 119 \text{ m} away from an ambulance standing still and sounding a siren with frequency fA=763 Hz. f_ A = 763 \text{ Hz}. What is the approximate frequency of the siren sound heard in the car?

Assumption

  • The speed of sound is u=340 m/s. u = 340 \text{ m/s}.

As shown in the above diagram, person A A hears an ambulance which heads towards him at a speed of v=14 m/s v = 14 \text{ m/s} sounding a siren with frequency fA=775 Hz f_A = 775 \text{ Hz} at a distance of d=104 m d = 104 \text{ m} away from him. What is the approximate frequency of the siren sound heard in the ambulance?

Assumption

  • The speed of sound is u=340 m/s. u = 340 \text{ m/s}.
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