The velocity of transverse waves on a string

Click For Summary
SUMMARY

The discussion focuses on calculating the velocity of transverse waves on a violin string, specifically a 35 cm string with a mass of 2.0 g that produces the note A4 at 440 Hz. The mass per unit length (ρ) was calculated to be 0.0057 kg/m. Participants suggested using the formula v = f * 2L to find the wave velocity directly in terms of frequency and string length, rather than calculating the force separately.

PREREQUISITES
  • Understanding of wave mechanics and transverse waves
  • Familiarity with the concepts of frequency and wavelength
  • Knowledge of mass per unit length (linear density) calculations
  • Basic algebra for manipulating equations
NEXT STEPS
  • Learn how to derive wave velocity from frequency and string length using the formula v = f * 2L
  • Explore the relationship between tension and wave velocity in strings
  • Study the effects of mass and length on the frequency of vibrating strings
  • Investigate the properties of different types of strings and their impact on sound production
USEFUL FOR

Musicians, physics students, and educators interested in the physics of musical instruments and wave behavior on strings.

Nikles
Messages
1
Reaction score
0
1. A violin string is 35 cm long between its fixed ends and has a mass of 2.0g. The string sounds the note A4 (440 Hz) when played.



Homework Equations


v=\sqrt{}F/ρ



The Attempt at a Solution


I calculated ρ, mass per unit length, to be .0057 kg/m but do not know how to find the force that I need to plug into the equation.
 
Physics news on Phys.org
Another formula (related to the one you mentioned, but derived from the wavelength) gives the wave velocity directly in terms of the freqency and string length. Try this one?

$$ f = \frac{v}{2 L} $$
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
13
Views
2K
  • · Replies 23 ·
Replies
23
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 29 ·
Replies
29
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
Replies
1
Views
2K