Question

A pipe is 2.37 m long.

(a) Determine the frequencies of the first three harmonics if the pipe is open at both ends. Take 344 m/s as the speed of sound in air.

f1 = 72.6 Correct: Your answer is correct. Hz

f2 = 145.2 Correct: Your answer is correct. Hz

f3 = 217.8 Correct: Your answer is correct. Hz

(b) How many harmonic frequencies of this pipe lie in the audible range, from 20 Hz to 20000 Hz?

275 Correct: Your answer is correct.

(c) What are the three lowest possible frequencies if the pipe is closed at on end and open at the other?

f1 = 36.3 Correct: Your answer is correct. Hz

f3 = 108.9 Correct: Your answer is correct. Hz

f5 = 181.5 Correct: Your answer is correct. Hz

_______________________ ___________________________________________

(a) What length of pipe open at both ends has a fundamental frequency of 3.75 102 Hz? Find the first overtone.

lpipe = _________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 =

Answer #1

13.5)Given,

f = 3.75 x 10^2 Hz = 375 Hz

a)We know that

f = n v/2L

L = nv/2f

for n = 1

l(pipe) = 1 x 340/2 x 375 = 0.453 m

f = 2 x 340/2 x 0.453 = 750.55 Hz

Hence, l(pipe) = 0.453 m ; f(overtone) = 750.55 Hz

b)we know that

f = (2n - 1)v/4L

f1 = (2 - 1)340/4 x 0.453 = 187.64 Hz

f2 = (2*2 - 1)340/4 x 0.453 = 562.9

F(fund) = 187.64 Hz ; f(over) = 562.9 Hz

c)interger = 20000/187.64 = 106

range - 187.64 - 106 x 187.64

range = 187.64 - 19889.84 Hz

n = (106 + 2)/2 = 54

4. A pipe 0.45 m long has two consecutive harmonics with
frequencies of 929 Hz and 1300 Hz.
(a) Is the pipe open at both ends or closed at one?
(b) What is the wave speed in the pipe?
(c) What is the temperature of the air?

Find the fundamental frequency and the frequency of the first
three overtones of a pipe 90.0 cm long, if the pipe is open at both
ends.
Please enter your answer as four numbers, separated with
commas.
ffund,fov1,fov2,fov3
=
Hz
Find the fundamental frequency and the frequency of the first
three overtones of a pipe 90.0 cm long, if the pipe is closed at
one end.
Please enter your answer as four numbers, separated with
commas.
ffund,fov1,fov2,fov3
=
Hz
If the...

Assume the speed of sound in air is 340 m/s.
Determine the first three standing wave frequencies of a
28-cm-long open-closed pipe
f1,f3,f5?

A closed organ pipe has a fundamental frequency of 100 Hz. The
first overtone of an open organ pipe has the same frequency as the
first overtone of the closed pipe. What is the length of each
pipe?

The shortest pipe in a particular organ is 1.37 m.
(a)
Determine the frequency (in Hz) of the seventh harmonic (at 0°C)
if the pipe is closed at one end.
Hz
(b)
Determine the frequency (in Hz) of the seventh harmonic (at 0°C)
if the pipe is open at both ends.
(c)
Determine these frequencies (in Hz) at 20.0°C.
pipe
frequency (Hz)
closed
open

A) What is the length of a pipe which is open at both ends with
a fundamental frequency of 262.2 Hz at room temperature?
B) What is the length of a pip which is closed at end and has a
fundamental frequency of 271.1 Hz at room temperature?
C) A pipe has resonances at 428.8 Hz, 600.3 Hz, and 771.8 Hz
with no resonances in between. Is the pipe open at both ends or
closed at one end? Explain your...

7). An organ pipe, closed at one end, is vibrating in its first
overtone (second
harmonic), has length 61cm. A second organ pipe, open at both
ends, is vibrating in
its fundamental mode (first harmonic), has length 41cm. What are
the frequencies of
the tones from each?

An organ pipe is 134cm long and operates at room temperature.
What are the frequencies of the fundamental (n=1) and the next
harmonic (n=2) if both ends of the pipe are open?
What are the frequencies of the fundamental (n=1) and the next
harmonic (n=3) if one end of the pipe is closed?

Standing sound waves are produced in a pipe that is 1.80 m
long.
If the pipe is closed at the left end and open at the right end
, determine the locations along the pipe (measured from the left
end) of the displacement nodes for the fundamental frequency.
If there is more than one value, separate your answers with
commas.
x=
m
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Part E
If the pipe is closed at the...

A musician measures the frequencies of the audible standing
waves in an organ pipe. He finds two adjacent tones at 245 and 315
Hz. (a) On the basis of this discovery, the musician computes the
pipe's fundamental frequency. What is its value (in Hz)? Hz (b) Is
the pipe open at both ends or only one? open at both ends open at
only one end (c) The air within the pipe has a temperature of 20°C
and is at atmospheric...

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