Question on a waves/sound problem

  • Thread starter Thread starter Kalix
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on calculating the lowest frequency of standing waves in two strings of different lengths and linear densities, both under a tension of 190.0 N. The strings have lengths of 3.75 m and 1.25 m, with linear densities of 6.00 x 10^-2 kg/m and 1.50 x 10^-2 kg/m, respectively. The relevant equations include f = nv/2L and (n1v1)/2L1 = (n2v2)/2L2, which are essential for establishing the relationship between the frequencies and wave velocities in both strings. The user seeks guidance on determining the wave velocities (v1 and v2) and the ratio of the mode numbers (n1 and n2).

PREREQUISITES
  • Understanding of wave mechanics and standing waves
  • Familiarity with linear density and its impact on wave speed
  • Knowledge of tension in strings and its effect on frequency
  • Ability to manipulate algebraic equations involving ratios
NEXT STEPS
  • Calculate wave speeds using the formula v = √(T/(m/L)) for both strings
  • Explore the concept of harmonic frequencies in strings
  • Research the relationship between mode numbers and standing wave patterns
  • Practice problems involving multiple strings with different physical properties
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators seeking to clarify concepts related to standing waves in strings.

Kalix
Messages
26
Reaction score
0

Homework Statement


Question: Two strings at different lengths and linear densities are joined together. They are stretched so that the tension in each string is 190.0 N. The free ends are fixed in place. Find the lowest frequency that permits standing waves in both strings with a node at the junction. The standing wave pattern in each string may have a different number of loops.

Homework Equations



3.75 m 1.25m
_________________=====================

6*10^-2 kg/m 1.5*10^-2 kg/m

(this is kinda what the picture looks like if it helps but it seems really confusing on the computer)

Equations I should use (there may be others):
f=nv/2L
(n1v1)/2L1=(n2v2)/2L2

Other information I am given:
L1=3.75
L2=1.25
n1=?
n2=?
v1=?
v2=?
(m/L)=6.00x10^-2 kg/m
(m/L)2=1.50x10^-2 kg/m

I need to create a ratio between n1 and n2.

I don’t understand how I get v and then how to find a ratio between n1 and n2.


The Attempt at a Solution


Well above I listed all the variables I knew and the ones I didn't know. from that I plugged what I had into the second equation and got (n1v1)/2(3.75)=(n2v2)/2(1.25). That is about how far I got. I don’t understand how I get v and then how to find a ratio between n1 and n2.
 
Physics news on Phys.org
Sorry the picture got a little messed up on the computer. Hopefully it will be easy to tell where things go based on the other information.
 

Similar threads

Induced Current Problem from the professor not in our textbook
  • · Replies 2 ·
Replies
2
Views
2K
Equation for the boundary of rays turning to plane waves
  • · Replies 19 ·
Replies
19
Views
2K
Length of string in a standing wave
  • · Replies 19 ·
Replies
19
Views
1K
A problem about stationary waves ?
  • · Replies 7 ·
Replies
7
Views
2K
Which Frequency is NOT Possible for a Vibrating String?
  • · Replies 5 ·
Replies
5
Views
2K
A question about wave motion and beat frequency
  • · Replies 43 ·
2
Replies
43
Views
7K
Solving Rotational Statics: Force Left Support Exerts on Beam
  • · Replies 2 ·
Replies
2
Views
10K
Sound wave Interference from Two Speakers
  • · Replies 3 ·
Replies
3
Views
4K
Attempt to combine Charles and Boyles laws
  • · Replies 7 ·
Replies
7
Views
3K
Calculating Forces and Kinetic Friction for a System of Connected Blocks
  • · Replies 12 ·
Replies
12
Views
3K