What Tension is Needed to Maintain Wavelength When Frequency Doubles?

  • Thread starter Thread starter name_ask17
  • Start date Start date
  • Tags Tags
    Springs
Click For Summary

Homework Help Overview

The problem involves a wave generated by a vibrator on a rope, where the initial tension is given, and the frequency is doubled. The original poster seeks to determine the necessary adjustment to the tension to maintain the same wavelength after the frequency change.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply equations related to energy but questions their relevance to the problem. They later recognize the relationship between wave velocity, frequency, and wavelength but express uncertainty about the role of tension.

Discussion Status

Some participants are engaging with the original poster's attempts to clarify the equations used and suggest exploring the connection between wave velocity and tension. There is an ongoing exploration of relevant concepts without a clear consensus on the approach to take.

Contextual Notes

The original poster has edited their question but did not update all parts of their initial post, which may lead to confusion regarding the problem's requirements.

name_ask17
Messages
146
Reaction score
0

Homework Statement


A vibrator moves one end of a rope up and down to generate a wave. The tension in the rope is 63 N. The frequency is then doubled. To what value must the tension be adjusted, so the new wave has the same wavelength as the old one?

Homework Equations


(1/2)kx^2
and/or
(1/2)mv^2


The Attempt at a Solution


I tried using those equations but i am not getting the right answer :/ Please Help. Any assistance would be appreciated. thnk you
 
Last edited:
Physics news on Phys.org
How did you try to use those equations? (I ask because they don't appear to be relevant to the problem at hand, so I'm curious).
 
sorry. i edited the question and changed the question but i forgot to change the other 2 parts.

so...
relevant equation:
I know velocity=frequency*wavelength, but i do not see where tension comes in in this problem. is there another equation i should use?
 
Do a search on the keywords: wave velocity tension .
 

Similar threads

What is the wavelength of a pulse on a hanging rope with changing tension?
  • · Replies 15 ·
Replies
15
Views
3K
Frequency and wavelength of a wave on a vertical rope
  • · Replies 4 ·
Replies
4
Views
4K
Changing wavelength with changing tension
  • · Replies 1 ·
Replies
1
Views
3K
Problem with pulleys - two fixed and one movable
  • · Replies 22 ·
Replies
22
Views
2K
Need help with a pulley and tension problem
  • · Replies 3 ·
Replies
3
Views
2K
Wavelength from amplitude information?
  • · Replies 4 ·
Replies
4
Views
2K
Frequency and wavelength of vertical string wave
  • · Replies 3 ·
Replies
3
Views
3K
Standing waves on string with increasing tension
  • · Replies 3 ·
Replies
3
Views
7K
Answering the Rope Tension & Frequency Questions
  • · Replies 23 ·
Replies
23
Views
5K
Area Under Frequency versus Time Curve meaning?
  • · Replies 8 ·
Replies
8
Views
2K