Throughout the problem, take the speed of sound in air to be 343 m/s. → Part A Consider a pipe of length 80.0 cm open at both ends. What is the lowest frequency of the sound wave produced when you blow into the pipe? Express your answer in hertz. ▸ View Available Hint(s) Submit → Part B A hole is now drilled through the side of the pipe and air is blown again into the pipe through the same opening. The fundamental frequency of the sound wave generated in the pipe is now View Available Hint(s) the same as before. lower than before. higher than before. Submit → Part C ⒸE? Hz If you take the original pipe in Part A and drill a hole at a position half the length of the pipe, what is the fundamental frequency of the sound that can be produced in the pipe? Express your answer in hertz. ▸ View Available Hint(s)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Superposition And Standing Waves
Section: Chapter Questions
Problem 53P
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The physics of wind instruments is based on the concept of standing waves.
When the player blows into the mouthpiece, the column of air inside the
instrument vibrates, and standing waves are produced. Although the acoustics
of wind instruments is complicated, a simple description in terms of open and
closed tubes can help in understanding the physical phenomena related to
these instruments. For example, a flute can be described as an open-open
pipe because a flutist covers the mouthpiece of the flute only partially.
Meanwhile, a clarinet can be described as an open-closed pipe because the
mouthpiece of the clarinet is almost completely closed by the reed.
Throughout the problem, take the speed of sound in air to be 343 m/s.
Part A
Consider a pipe of length 80.0 cm open at both ends. What is the lowest frequency f of the sound wave produced when you blow into the pipe?
Express your answer in hertz.
▸ View Available Hint(s)
f =
Submit
Part B
A hole is now drilled through the side of the pipe and air is blown again into the pipe through the same opening. The fundamental frequency of the sound wave generated in the pipe is now
▸ View Available Hint(s)
Submit
Part C
the same as before.
lower than before.
higher than before.
Hz
f' =
If you take the original pipe in Part A and drill a hole at a position half the length of the pipe, what is the fundamental frequency f' of the sound that can be produced in the pipe?
Express your answer in hertz.
▸ View Available Hint(s)
Hz
Transcribed Image Text:The physics of wind instruments is based on the concept of standing waves. When the player blows into the mouthpiece, the column of air inside the instrument vibrates, and standing waves are produced. Although the acoustics of wind instruments is complicated, a simple description in terms of open and closed tubes can help in understanding the physical phenomena related to these instruments. For example, a flute can be described as an open-open pipe because a flutist covers the mouthpiece of the flute only partially. Meanwhile, a clarinet can be described as an open-closed pipe because the mouthpiece of the clarinet is almost completely closed by the reed. Throughout the problem, take the speed of sound in air to be 343 m/s. Part A Consider a pipe of length 80.0 cm open at both ends. What is the lowest frequency f of the sound wave produced when you blow into the pipe? Express your answer in hertz. ▸ View Available Hint(s) f = Submit Part B A hole is now drilled through the side of the pipe and air is blown again into the pipe through the same opening. The fundamental frequency of the sound wave generated in the pipe is now ▸ View Available Hint(s) Submit Part C the same as before. lower than before. higher than before. Hz f' = If you take the original pipe in Part A and drill a hole at a position half the length of the pipe, what is the fundamental frequency f' of the sound that can be produced in the pipe? Express your answer in hertz. ▸ View Available Hint(s) Hz
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