What Tension is Needed to Maintain Wavelength When Frequency Doubles?

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To maintain the same wavelength when the frequency of a wave doubles, the tension in the rope must be adjusted. The relationship between wave velocity, frequency, and wavelength is crucial, as velocity is determined by the tension in the rope. The original tension is 63 N, but the correct tension for the new frequency needs to be calculated. The user expresses confusion about the relevance of their initial equations and seeks clarification on the correct approach. Understanding the relationship between tension and wave velocity is essential for solving the problem accurately.
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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:
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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=frequecy*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 .
 

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