Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(a) What frequency is received by a person watching an oncoming ambulance moving

ID: 1532830 • Letter: #

Question

(a) What frequency is received by a person watching an oncoming ambulance moving at 31.9 m/s and emitting a steady 753 Hz sound from its siren? The speed of sound on this day is 345 m/s.

___________Hz


(b) What frequency does she receive after the ambulance has passed?
______________ Hz

A light-rail commuter train blows its 200 Hz horn as it approaches a crossing. The speed of sound is 339 m/s.

(c) An observer waiting at the crossing receives a frequency of 214 Hz. What is the speed of the train?
___________ m/s

(d) What frequency does the observer receive as the train moves away?

___________Hz

Explanation / Answer

  Doppler effect for a moving source and stationary observer: f = fV/(V±Vs)

Vs = 31.9 m/s ,V = 345 m/s, f = 753 Hz

a) Moving towards: f = fV/(V–Vs)
f = 829.72 Hz

b) Moving away: f = fV/(V+Vs)
f = 689.268Hz

2.

(a) fd=f(v+vr)/(v-vs) , (fd=214Hz , f=200Hz , v=339m/s , vr=0)
214= 200*(339+0)/(339-vs)
vs= 22.17[m/s] approx.

(b) fd=f(v+vr)/(v+vs) , (f=200Hz , v=339m/s , vr=0 , vs=22.17m/s)
fd= 200*(335+0)/(335+22.17)= 187.586 = 187.6[Hz] approx.