How much tension should be in the string if it is to produce resonance?

  • Thread starter Tomanadi
  • Start date
  • #1
1
0

Homework Statement


A 73.4 cm long guitar string of mass 2.21 g is placed near a tube open at one end, and also 73.4cm long. How much tension should be in the string if it is to produce resonance (in its fundamental mode) with the third harmonic in the tube?

Homework Equations


v=sqrt(T/(m/L))
f=(nv)/4L

The Attempt at a Solution


The wavelength of the note produced in the string = 2*.734 m
The velocity of the waves in the string = sqrt ( T / ( 0.00223 / 0.734 ) )
Frequency = sqrt ( T / ( 0.00221 / 0.734 ) ) / (2*0.734)
Frequency of the wave of the tube = 343 / (4*0.734 / 5)
So
343 / (4*0.734 / 5) = sqrt ( T / ( 0.00221 / 0.734 ) ) / (2*0.734)

The answer doesn't work for me, though.
 

Answers and Replies

Related Threads on How much tension should be in the string if it is to produce resonance?

Replies
8
Views
3K
Replies
2
Views
4K
Replies
2
Views
6K
  • Last Post
Replies
1
Views
3K
Replies
1
Views
2K
Replies
1
Views
5K
Replies
3
Views
3K
Replies
1
Views
6K
Top