Waves Practice Problem Set Worksheet Page 10
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ECHANICS
RACTICE
ROBLEM
ETS
10. (G12.51) The predominant frequency of a certain police car’s siren is 1800 Hz when
at rest. What frequency do you detect if you move with a speed of 30.0 m/s…
a. Toward the car
Answer: 1950 Hz
b. Away from the car
Answer: 1640 Hz
11. (G12.53) In one of the original Doppler experiments, one tuba was played on a
moving platform car at a frequency of 75 Hz, and a second identical one was played
on the same tone while at rest in the railway station. What beat frequency was heard
if the train approached the station at a speed of 10.0 m/s?
Answer: 2 Hz
12. (G12.78) The frequency of a steam train whistle as it approaches you is 522 Hz. After
it passes you, its frequency is measured as 486 Hz. How fast was the train moving?
Assume constant velocity.
Answer: 12.3 m/s
13. (G12.71) A tight guitar string has a frequency of 600 Hz as its third harmonic. What
will be its fundamental frequency if it is fingered at a length of only 60% of its
original length?
Answer: 333 Hz
14. (G12.73) The string of a violin is 32 cm long between fixed points with a
-4
fundamental frequency of 440 Hz and a linear density of 5.5 x 10
kg/m.
2
a. What are the speed and tension in the string?
Answer: 2.8 x 10
m/s, 44 N
b. What is the frequency of the first overtone?
Answer: 880 Hz
Density of Substances
Material
Elastic
Modulus
9
2
Iron, cast
100 x 10
N/m
9
2
Steel
200 x 10
N/m
9
2
Brass
100 x 10
N/m
9
2
Aluminum
70 x 10
N/m
9
2
Concrete
20 x 10
N/m
9
2
Brick
14 x 10
N/m
9
2
Marble
50 x 10
N/m
9
2
Granite
45 x 10
N/m
Wood (pine)
9
2
Parallel to Grain
10 x 10
N/m
9
2
Perpendicular to
1 x 10
N/m
Grain
9
2
Nylon
5 x 10
N/m
9
2
Bone (limb)
15 x 10
N/m
Material
Bulk Modulus
9
2
Water
2.0 x 10
N/m
9
2
Mercury
2.5 x 10
N/m
9
2
Alcohol (ethyl)
1.0 x 10
N/m
5
2
Air
1.01 x 10
N/m
Gamzon & Gregorian-Michaelsen
6/7/16
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