Question

**problem 24.** Two overlapping, harmonic waves
have the same frequency, speed, and amplitude (5.0 cm). They travel
in the same direction in the same medium. They differ in phase by
?/2. What is the amplitude of the superposed wave?

**problem 28.** A flutist assembles her flute in a
room where the speed of sound is 342 m/s. She is in perfect tune
with a 440 Hz tuning fork. A few minutes later, the room has warmed
and the speed of sound is 346 m/s. What is the beat frequency
between the flute and tuning fork?

Answer #1

Problem 24

The amplitude of a superposed wave made up of two similar waves with differing phase constants is

where is the phase difference.

Substituting the given values, we get

Problem 28

The beat frequency will be zero, as the frequency of the driving
source, the flute, will remain the same. Since the speed of sound
has changed, **the wavelength of the emitted sound will
change. However, the frequency will depend solely on the
driver**. As beat frequency depends on the difference of
frequencies between two sources, in this case, it will be zero.

A flutist assembles her flute in a room where the speed of sound
is 342 m/s . When she plays the note A, it is in perfect tune with
a 440 Hz tuning fork. After a few minutes, the air inside her flute
has warmed to where the speed of sound is 343 m/s . You may assume
in this problem that the construction of a flute makes it behave
like a pipe which is open on both ends.
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Two waves traveling on a string in the same direction both have
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Tries 0/10
What is the phase difference between the two waves if the
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Two waves traveling on a string in the same direction both have
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(a) π/6 cm
(b) π/3

Speed of Sound Lab
Use the following data taken previously:
Data Page
Room Temperature, T c (Celsius) = 22 0
Theoretical Speed of Sound, v (m/s) = ____?____ Use Equation
2
Frequency of Sound Waves (tuning fork), f (Hz) = 512
First Resonance Point
Trial
1 17 cm
2 18 cm
3 17 cm
Now determine
Average = _____________
Wavelength, λ (m) = _____________ Use λ = 4L (First
Resonance)
Experimental Speed of Sound (m/s) = _____________ Use Equation
1...

Two speakers generate harmonic sound waves that are in phase at
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at the following locations.
(a) 4.80 m from each speaker
rad
(b) 2.42 m from one speaker and 3.72 m from the other
rad
(c) 2.42 m from one speaker and 4.80 m from the other
rad
(d) 2.42 m from one speaker and 3.37...

Suppose two speakers are arranged such that they emit identical
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emit the same frequency, what is the lowest frequency such that the
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You may ignore amplitude reduction due to distance for this
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A string with both ends held fixed is vibrating in its third
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⦁ A person sitting in a stationary boat notices that
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Follow these steps to solve this problem: Two identical
loudspeakers, speaker 1 and speaker 2, are 2.0 m apart and are
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1. An object of mass M oscillates on a spring with maximum
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