Waves Practice Problem Set Worksheet Page 8
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5
ECHANICS
RACTICE
ROBLEM
ETS
7.3
D
E
OPPLER
FFECT
1. On a cold wintry day, Bob is late for work. He drives at a speed of 15 m/s toward the
factory where he works. The factory whistle is blown with a frequency of 800 Hz to
indicate the start of the workday. If it is -4°C…
a. What is the frequency that Bob hears when the whistle is blown?
Answer: f’= 837 Hz
b. What is the frequency that Bob hears when he passes the building and moves
away toward the parking lot behind the factory? Answer: f’= 763 Hz
2. While standing near a railroad crossing, a person hears a distant train horn. According
to the train’s engineer, the frequency of the horn is 262 Hz. If the train is traveling at
20.0 m/s toward the crossing and the speed of sound is 346 m/s…
a. What would the train horn’s wavelength be at rest?
Answer: λ = 1.32 m
b. By how much would the horn’s wavelength change as a result of the train’s
motion?
Answer: Δλ = 0.075 m
3. An ambulance with a siren emitting a whine at 1300 Hz races by a car that was pulled
off to the side of the road. After being passed, the driver of the park car hears a
frequency of 1220 Hz. How fast was the ambulance moving?
Answer: v
= 22.5 m/s
s
4. In 1845, French Scientist B. Ballot first tested the Doppler shift. He had a trumpet
player sound an A, 440 Hz, while riding on a flatcar pulled by a locomotive. At the
same time, a stationary trumpeter played the same note. If the locomotive was
moving toward Ballot at a speed of 5.0 m/s, what beat frequency would Ballot have
heard?
Answer: f
= 6.5 Hz
b
Gamzon & Gregorian-Michaelsen
6/7/16
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