A drainage pipe running under a freeway is 31.0m long. Both ends of the pipe are

Question

A drainage pipe running under a freeway is 31.0m long. Both ends of the pipe are open, and wind blowing across one end causes the air inside to vibrate.

Part A

If the speed of sound on a particular day is 340m/s , what will be the fundamental frequency of air vibration in this pipe?

Express your answer to two significant figures and include the appropriate units.

SubmitMy AnswersGive Up

Part B

What is the frequency of the lowest harmonic that would be audible to the human ear? (The lowest frequency we can hear is about 20 Hz.)

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Part A)

The wavelength for the fundamental in this scenario is twice the tube length

Apply v = f(wavelelength)

340 = f(2)(31)

f = 5.5 Hz

Part B)

fn = nf1

The first, second, and third harmonic are below the 20 Hz

The fouth is 4(5.5) = 22 Hz

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.