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Chapter 17: Q. 45 (page 485)
A metal wire under tension T0 vibrates at its fundamental
frequency. For what tension will the second-harmonic frequency
be the same as the fundamental frequency at tension ?
The tension will be
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|| The three identical loudspeakers
in FIGURE P17.71 play a 170 Hz tone
in a room where the speed of sound
is 340 m/s. You are standing 4.0 m
in front of the middle speaker. At
this point, the amplitude of the wave
from each speaker is a.
a. What is the amplitude at this
point?
b. How far must speaker 2 be moved
to the left to produce a maximum
amplitude at the point where you
are standing?
c. When the amplitude is maximum,
by what factor is the sound intensity
greater than the sound intensity from a single speaker?
Two radio antennas are separated by 2.0 m. Both broadcast
identical 750 MHz waves. If you walk around the antennas in a
circle of radius 10 m, how many maxima will you detect?
An open-open organ pipe is 78.0 cm long. An open-closed pipe has a fundamental frequency equal to the third harmonic of the open-open pipe. How long is the open-closed pipe?
An old mining tunnel disappears into a hillside. You would like to know how long the tunnel is, but it鈥檚 too dangerous to go inside. Recalling your recent physics class, you decide to try setting up standing-wave resonances inside the tunnel. Using your subsonic amplifier and loudspeaker, you find resonances at 4.5 Hz and 6.3 Hz, and at no frequencies between these. It鈥檚 rather chilly inside the tunnel, so you estimate the sound speed to be 335 m/s. Based on your measurements, how far is it to the end of the tunnel?
Piano tuners tune pianos by listening to the beats between the
harmonics of two different strings. When properly tuned, the note
A should have a frequency of 440 Hz and the note E should be
at 659 Hz.
a. What is the frequency difference between the third harmonic
of the A and the second harmonic of the E?
b. A tuner first tunes the A string very precisely by matching it to
a 440 Hz tuning fork. She then strikes the A and E strings simultaneously
and listens for beats between the harmonics. What
beat frequency indicates that the E string is properly tuned?
c. The tuner starts with the tension in the E string a little low,
then tightens it. What is the frequency of the E string when
she hears four beats per second?
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