Waves Practice Problem Set Worksheet Page 7

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M
P
P
S
4
ECHANICS
RACTICE
ROBLEM
ETS
7.2
S
OUND
Unless stated otherwise, assume that T = 20°C.
1. Find the frequency of a sound wave moving in air at a temperature of 22°C with a
wavelength of 0.667 m.
Answer: f = 516 Hz
2. You hear the sound of the firing of a distant cannon 6.0 seconds after seeing the flash.
How far are you from the cannon?
Answer: d = 2.1 km
3. A sound wave with a frequency of 9800 Hz travels along a copper pipe. If the
3
3
wavelength is 0.370 m and the density of copper is 8.9 x 10
kg/m
, what is the elastic
11
2
modulus of copper?
Answer: E= 1.2 x 10
N/m
4. A certain instant camera determines the distance to the subject by sending out a sound
wave and measuring the time needed for the echo to return to the camera. How long
will it take the sound wave to return to the camera if the subject were 3.00 m away?
Answer: t = 0.017 s
5. If you drop a stone into a mineshaft that is 122.5 m deep, how soon after you drop the
stone do you hear it hit the bottom of the shaft? The temperature in the mineshaft is
10°C.
Answer: t = 5.36 s
6. With what tension must a rope of length 2.50 m and mass of 0.120 kg be stretched for
transverse waves of frequency of 40.0 Hz to have a wavelength of 0.750 m?
Answer: T= 43.2 N
7. A ship uses a sonar system to detect underwater objects in the ocean. The system
emits underwater sound waves and measures the time interval for the reflected wave
to return to the detector.
9
a. Determine the speed of sound in seawater if the bulk modulus is 2.2 x 10
2
N/m
.
Answer: v= 1465 m/s
b. The ship is on the continental shelf when it emits a sound wave. It takes the
echo 0.203 seconds to be picked up by the detector. What is the depth of the
ocean on the continental shelf?
Answer: depth = 150 m.
8. A tuning fork of frequency 262 Hz is sounded at the same time as another tuning fork
with a frequency of 257 Hz. What is the beat frequency that is heard?
Answer: f
= 5 Hz
b
9. A tuning fork with a frequency of 432 Hz is sounded at the same time as a guitar. If 6
beats are heard in 3 seconds, what are the possible frequencies of the guitar string?
Answer: f = 430 Hz or 434 Hz
Gamzon & Gregorian-Michaelsen
6/7/16

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