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 VE ΑΣΦΑ O the same as before. lower than before. higher than before. Submit Part C OPNO 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) 2 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 f' of the sound that can be produced in the pipe? Express your answer in hertz. View Available Hint(s)

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Chapter1: Units, Trigonometry. And Vectors
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Item 3
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
VG | ΑΣΦ
O the same as before.
O
lower than before.
O higher than before.
Submit
Part C
?
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)
ΠΙΑΣΦ/
Hz
3 of 15
?
Review
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)
Transcribed Image Text:Item 3 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 VG | ΑΣΦ O the same as before. O lower than before. O higher than before. Submit Part C ? 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) ΠΙΑΣΦ/ Hz 3 of 15 ? Review 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)
▼
Part D
What frequencies, in terms of the fundamental frequency of the original pipe in Part A, can you create when blowing air into the pipe that has a hole halfway down its length?
► View Available Hint(s)
Only the odd multiples of the fundamental frequency
O Only the even multiples of the fundamental frequency
O All integer multiples of the fundamental frequency
Submit
Part E
What length of open-closed pipe would you need to achieve the same fundamental frequency f as the open-open pipe discussed in Part A?
► View Available Hint(s)
O Half the length of the open-open pipe
Twice the length of the open-open pipe
O One-fourth the length of the open-open pipe
Four times the length of the open-open pipe
The same as the length of the open-open pipe
Submit
Part F
What is the frequency f" of the first possible harmonic after the fundamental frequency in the open-closed pipe described in Part E?
Express your answer in hertz.
► View Available Hint(s)
f" =
—| ΑΣΦ
?
Hz
Transcribed Image Text:▼ Part D What frequencies, in terms of the fundamental frequency of the original pipe in Part A, can you create when blowing air into the pipe that has a hole halfway down its length? ► View Available Hint(s) Only the odd multiples of the fundamental frequency O Only the even multiples of the fundamental frequency O All integer multiples of the fundamental frequency Submit Part E What length of open-closed pipe would you need to achieve the same fundamental frequency f as the open-open pipe discussed in Part A? ► View Available Hint(s) O Half the length of the open-open pipe Twice the length of the open-open pipe O One-fourth the length of the open-open pipe Four times the length of the open-open pipe The same as the length of the open-open pipe Submit Part F What is the frequency f" of the first possible harmonic after the fundamental frequency in the open-closed pipe described in Part E? Express your answer in hertz. ► View Available Hint(s) f" = —| ΑΣΦ ? Hz
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