Question

A typical steel B-string in a guitar resonates in its fundamental frequency at 240 Hz. The length of the string is 0.600 m. What is the wave velocity in the string?

The tension in the above string is 81.2 N. Calculate the mass of a 4 m long piece of the steel string.

What is the wavelength of the third harmonic of the guitar string described above?

Answer #1

A tight guitar string has a frequency of 540 Hz as its third
harmonic. What will be its fundamental frequency if it is fingered
at a length of only 62 % of its original length?

The E string on an electric bass produces the instrument’s
lowest possible frequency, 41 Hz. The string has a length of 0.86 m
and a mass per unit length of 0.015 kg/m. (a)
Calculate the tension in this string. (b)
Calculate the frequency and wavelength of the second harmonic.
(c) Calculatethe frequency and wavelength of the
third harmonic. So a) is 72N and b) is 0.86m and c) 123Hz
How would i solve this problem? With the same values of...

A particular guitar string has a mass of 3.0 grams and a length
of 0.75 m. when it is stretched, it produces a transverse wave of
frequency 1200 Hz and wavelength 2/3 of the length of the string.
(i) What is the speed of the transverse wave on the string? (ii)
What is the tension of the string?

1. The G-string on a guitar is 64.8 cm long and is properly
tuned to 196 Hz (fundamental) frequency. a. Sketch the first
harmonic on this guitar string at two different times. b. What is
the frequency of the G note one octave above this frequency? One
octave below? c. What is the frequency of the note a perfect fifth
above this frequency? d. What is the wavelength of the first
harmonic of this guitar string? e. What is the...

The high-E string on a guitar (...standard tuning...) is fixed
at both ends (...the nut and the bridge...) with a length of 67.0
cm. The fundamental frequency (HE4 ) is 330 Hz. On a
typical acoustical country guitar, this string has a diameter of
0.33 mm and is commonly make of brass (7760 kg/m3),
whereas on an electric guitar, the string has a diameter of 0.25 mm
and is made of nickel-coated steel (7990 kg/m3). Find
the ratio of the...

An unfingered guitar string is 0.71 m long and is tuned to play
E above middle C (330 Hz).
(a) How far from the end of this string must the finger be
placed to play F above middle C (349 Hz)?
m
(b) What is the wavelength on the string of this 349 Hz
wave?
m
(c) What are the frequency and wavelength of the sound wave
produced in air at 20° C by this fingered string?
Hz
m

A student uses a 2.00-m-long steel string with a diameter of
0.90 mm for a standing wave experiment. The tension on the string
is tweaked so that the second harmonic of this string vibrates at
22.0 Hz . (ρsteel=7.8⋅103 kg/m3)
Calculate the tension the string is under.
Calculate the first harmonic frequency for this sting.
If you wanted to increase the first harmonic frequency by 44 % ,
what would be the tension in the string?

A student uses a 2.00-m-long steel string with a diameter of
0.90 mm for a standing wave experiment. The tension on the string
is tweaked so that the second harmonic of this string vibrates at
29.0 Hz . (ρsteel=7.8⋅10^3 kg/m^3)
If you wanted to increase the first harmonic frequency by 60 % ,
what would be the tension in the string?

A guitar produces sound at specific frequencies generated by
standing waves that are created by the plucking of the string under
tension.
Calculate the frequency of the first harmonic (in
Hz) of the sound generated from plucking
a string with a mass per unit length of 6 g/m, under tension of 133
N and a length between supports of 0.7 m.

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...

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