Fundamental frequency

  • Thread starter tag16
  • Start date
  • #1
tag16
97
0

Homework Statement


A harpsichord string of length 1.60 m and linear mass density 25.0 mg/m vibrates at a (fundamental) frequency of 450.0 Hz.
(a) What is the speed of the transverse string waves?

(b) What is the tension?

(c) What are the wavelength and frequency of the sound wave in air produced by vibration of the string? The speed of sound in air at room temperature is 340 m/s.



Homework Equations



v=2Lfn/n

The Attempt at a Solution


Already used above equation to find the speed, 1440 m/s. Not sure how to find part b or c though
 

Answers and Replies

  • #2
Fenn
76
0
You're missing a relevant equation that relates tension of the string to the speed of a wave and the linear mass density of the string. This is given by

[tex]
v = \sqrt{\frac{T}{\mu}}
[/tex]

Try working with that and see if you can get the rest.
 
  • #3
Redbelly98
Staff Emeritus
Science Advisor
Homework Helper
Insights Author
12,143
165
For (c): what must the frequency of the sound be?
 

Suggested for: Fundamental frequency

Replies
3
Views
423
  • Last Post
Replies
1
Views
181
  • Last Post
Replies
23
Views
373
Replies
10
Views
284
  • Last Post
Replies
6
Views
772
  • Last Post
Replies
7
Views
327
Replies
15
Views
319
  • Last Post
Replies
14
Views
598
  • Last Post
Replies
7
Views
508
  • Last Post
Replies
1
Views
510
Top