An auditorium has organ pipes at the front and at the rear of the hall. Two identical pipes, one at the front and one at the back, have fundamental frequencies of 334.0 Hz at 20.0°C. During a performance, the organ pipes at the back of the hall are at 26.4°C, while those at the front are still at 20.0°C. What is the beat frequency when the two pipes sound simultaneously?

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Chapter1: Units, Trigonometry. And Vectors
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10
An auditorium has organ pipes at the front and at the rear of the hall. Two identical pipes, one at the front and one at the back, have
fundamental frequencies of 334.0 Hz at 20.0°C. During a performance, the organ pipes at the back of the hall are at 26.4°C, while
those at the front are still at 20.0°C. What is the beat frequency when the two pipes sound simultaneously?
Hz
eBook
Hint
12
A geological survey ship mapping the floor of the ocean sends sound pulses down from the surface and measures the time taken for
the echo to return. How deep is the ocean at a point where the echo time (down and back) is 5.80 s? The temperature of the seawater
is 25.0°C. Speed of the sound in seawater is 1533 m/s (see table 12.1)
Hint
Required information
A ship mapping the depth of the ocean emits a sound of 49.4 kHz. The sound travels to the ocean floor and returns 0.870
s later. The speed of sound in sea water is about 1533 m/s (see table 12.1).
How deep is the water at that location?
m
km
Required information
An aluminum rod, 1.00 m long, is held lightly in the middle. One end is struck head-on with a rubber mallet so that a
longitudinal pulse-a sound wave-travels down the rod. The fundamental frequency of the longitudinal vibration is 2.00
kHz.
Calculate the speed of sound in aluminum from the information given in the problem.
km/s
Required information
Akiko rides her bike toward a brick wall with a speed of 7.00 m/s while blowing a whistle that is emitting sound with a
frequency of 488.0 Hz. Speed of sound in air at 20.0°C is 343 m/s.
What is the frequency of the sound that is reflected from the wall as heard by Haruki, who is standing still?
Hz
Transcribed Image Text:1 Hint 14 11 eBook eBook 13 10 An auditorium has organ pipes at the front and at the rear of the hall. Two identical pipes, one at the front and one at the back, have fundamental frequencies of 334.0 Hz at 20.0°C. During a performance, the organ pipes at the back of the hall are at 26.4°C, while those at the front are still at 20.0°C. What is the beat frequency when the two pipes sound simultaneously? Hz eBook Hint 12 A geological survey ship mapping the floor of the ocean sends sound pulses down from the surface and measures the time taken for the echo to return. How deep is the ocean at a point where the echo time (down and back) is 5.80 s? The temperature of the seawater is 25.0°C. Speed of the sound in seawater is 1533 m/s (see table 12.1) Hint Required information A ship mapping the depth of the ocean emits a sound of 49.4 kHz. The sound travels to the ocean floor and returns 0.870 s later. The speed of sound in sea water is about 1533 m/s (see table 12.1). How deep is the water at that location? m km Required information An aluminum rod, 1.00 m long, is held lightly in the middle. One end is struck head-on with a rubber mallet so that a longitudinal pulse-a sound wave-travels down the rod. The fundamental frequency of the longitudinal vibration is 2.00 kHz. Calculate the speed of sound in aluminum from the information given in the problem. km/s Required information Akiko rides her bike toward a brick wall with a speed of 7.00 m/s while blowing a whistle that is emitting sound with a frequency of 488.0 Hz. Speed of sound in air at 20.0°C is 343 m/s. What is the frequency of the sound that is reflected from the wall as heard by Haruki, who is standing still? Hz
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