Question
A guitar string is .75m and has a mass of .005kg. A standing wave is produced when the string is plucked.
a) what is the fifth harmonic if the tension in the string is 90N?
v=sqrt(F_t/mass density)= 116m/s
f1=v/2L = 116m/s/(2*.75m) =77.3Hz
fn=n*f1
f5=5*77.3Hz =386.5Hz
and to find the wavelength
wavelength_5 = v/f_5
=116m/s/386.5Hz
=.3m
b) What is the frequency and wavelength of the sound produced by the subsequent vibrations of the sound box of this guitar. Assume room temperature (v=340m/s)
Wouldn't frequency be the same because of resonance. But what about the wavelenght is that also the same?
a) what is the fifth harmonic if the tension in the string is 90N?
v=sqrt(F_t/mass density)= 116m/s
f1=v/2L = 116m/s/(2*.75m) =77.3Hz
fn=n*f1
f5=5*77.3Hz =386.5Hz
and to find the wavelength
wavelength_5 = v/f_5
=116m/s/386.5Hz
=.3m
b) What is the frequency and wavelength of the sound produced by the subsequent vibrations of the sound box of this guitar. Assume room temperature (v=340m/s)
Wouldn't frequency be the same because of resonance. But what about the wavelenght is that also the same?