. A pipe is 2.30 m long. (a) Determine the frequencies of the first three harmonics if the pipe is open at both ends. Take 336 m/s as the speed of sound in air. f₁ = Hz f2 = Hz f3 = Hz (b) How many harmonic frequencies of this pipe lie in the audible range, from 20 Hz to 20000 Hz? (c) What are the three lowest possible frequencies if the pipe is closed at on end and open at the other? f1 = Hz f3 = Hz fs = Hz EXERCISE HINTS: GETTING STARTED II'M STUCK! (a) What length of pipe open at both ends has a fundamental frequency of 3.78 x 102 Hz? Find the first overtone. 1 pipe = m fovertone = Hz (b) If the one end of this pipe is now closed, what is the new fundamental frequency? Find the first overtone. ffundamental = Hz fovertone = Hz (c) If the pipe is open at one end only, how many harmonics are possible in the normal hearing range from 20 to 20000 Hz?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please answer ALL questions correctly. Thank you.
A pipe is 2.30 m long.
(a) Determine the frequencies of the first three harmonics if the pipe is open at both ends. Take
336 m/s as the speed of sound in air.
f₁ =
Hz
f₂ =
Hz
f3 =
HZ
(b) How many harmonic frequencies of this pipe lie in the audible range, from 20 Hz to 20000 Hz?
(c) What are the three lowest possible frequencies if the pipe is closed at on end and open at the
other?
f₁ =
Hz
f3 =
Hz
f5 =
Hz
EXERCISE
HINTS: GETTING STARTED I I'M STUCK!
(a) What length of pipe open at both ends has a fundamental frequency of 3.78 x 102 Hz? Find the
first overtone.
1pipe =
m
fovertone =
Hz
(b) If the one end of this pipe is now closed, what is the new fundamental frequency? Find the first
overtone.
ffundamental =
Hz
fovertone =
Hz
(c) If the pipe is open at one end only, how many harmonics are possible in the normal hearing
range from 20 to 20000 Hz?
n =
Transcribed Image Text:A pipe is 2.30 m long. (a) Determine the frequencies of the first three harmonics if the pipe is open at both ends. Take 336 m/s as the speed of sound in air. f₁ = Hz f₂ = Hz f3 = HZ (b) How many harmonic frequencies of this pipe lie in the audible range, from 20 Hz to 20000 Hz? (c) What are the three lowest possible frequencies if the pipe is closed at on end and open at the other? f₁ = Hz f3 = Hz f5 = Hz EXERCISE HINTS: GETTING STARTED I I'M STUCK! (a) What length of pipe open at both ends has a fundamental frequency of 3.78 x 102 Hz? Find the first overtone. 1pipe = m fovertone = Hz (b) If the one end of this pipe is now closed, what is the new fundamental frequency? Find the first overtone. ffundamental = Hz fovertone = Hz (c) If the pipe is open at one end only, how many harmonics are possible in the normal hearing range from 20 to 20000 Hz? n =
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