Tension in a ropa to form transverse waves

AI Thread Summary
To determine the tension required for a rope to support transverse waves at a specific frequency and wavelength, the relevant equations include v = √(T/μ) and v = λf. The mass per unit length (μ) is calculated based on the rope's mass and length. By substituting the wavelength (λ) and frequency (f) into the wave velocity equation, the velocity (v) can be found. This velocity is then used to solve for tension (T) using the rearranged equation T = v² * μ. This method provides a clear approach to solving similar physics problems involving wave mechanics.
MissEuropa
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Homework Statement


With what tension must a rope with length 2.20m and mass 0.100kg be stretched for transverse waves of frequency 43.0Hz to have a wavelength of 0.700m?


Homework Equations


No idea

The Attempt at a Solution


I am completely oblivious as to where to start this question. I always like to have an attempt at a solution when I post, unfortunately I don't know where to begin.
Any help with relevant equations would be greatly appreciated as my physics class has yet to cover relation between tension and transverse waves.
 
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After some rooting around and Wiki (how I love Wiki) I found that:
v=√T/μ
Where μ is mass per unit length.
v=λf
I plugged in the values for λ (wavelength) and f (frequency) to solve for velocity.
Then I symbolically solved the first equation for T:
T=v2*μ

And BAM I got tension.
Hopes this helps anyone else with this same problem :-)
 

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