Question

An organ pipe open at both ends is to be designed so that the fundamental frequency it plays is 220 Hz.

a. What length of pipe is needed?

b. If one end of the pipe is stopped up, what other note (frequency) can this same pipe play?

c. Draw the fundamental frequency for the pipe open at both ends and when it is closed at one end.

d. Calculate and draw the next higher harmonic when one end of the pipe is closed.

Answer #1

a)

open both end

fn = n*v/2L where n = 1 ,2 ,3 ...

fundamental frequency when n = 1

v= speed of sound = 343 m/s

f1 = v/2L

220 = 343/ 2*L

L= 343/ ( 2*220) = **0.7795 m**

length of pipe = **0.7795 m**

**b)**

one end of the pipe is stopped up

the frequency in this case is given by

fn = n*v/4L where n = 1 ,3 ,5 only odd multiple

f1 = V/4L = 343/ ( 4*0.7795) **= 110 Hz**

**c)**

**closed pipe**

open both end pipe

d.

f3 = 3*v/4L = 3*f1 = 3*110 = 330 Hz

f5 = 5*f1 = 5*110 = 550 Hz

f7 = 7*f1 = 7*110 = 770 Hz and so on

The fundamental frequency of an organ pipe, closed at one end,
is 255.6 Hz.
a)What is the fundamental frequency of this organ pipe if the
temperature drops to 1.20°C? (Hz)
The fundamental frequency of an organ pipe, open at both ends,
is 278.9 Hz.
b) What is the fundamental frequency of this organ pipe if the
temperature drops to 1.00°C?

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...

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 pipe open at both ends has a fundamental frequency of 3.00 3
102 Hz when the temperature is 0°C. (a) What is the length of the
pipe? (b) What is the fundamental frequency at a temperature of
30.0°C?

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?

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...

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?

What is the beat frequency heard when two organ pipes, each open
at both ends, are sounded together at their fundamental frequencies
if one pipe is 52 cm long and the other is 62 cm long?(The speed of
sound is 340 m/s). Answer in Hz

7a. Express the fundamental frequency of a piano wire fixed at
both ends in terms of its tension FT, length L, radius r, and the
3D mass density ρ of the wire material.
7b. Given: radius r = 0.375 × 10-3 m, length L = 0.501 m, and
ρsteel = 7.86 × 103 kg/m3. What is the tension required for a steel
piano string tuned to middle C (f = 261.626 Hz)?
8.One of the harmonic frequencies of tube A...

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?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 19 minutes ago

asked 25 minutes ago

asked 39 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago