How Much Tension Is Needed in a Rope for Specific Wave Properties?

[Jim4592]

Homework Statement

With what tension must a rope with length 5m, and mass 0.120 kg, be stretched for transverse waves of frequency 50.0 Hz to have a wavelength of 0.750 m?

Homework Equations

K = ((2*Pi)/wavelength)

The Attempt at a Solution

K = (2*Pi)/.75
K = 8.38 1/m

I'm not sure where to go from here.

 

[dx]

Use the following relationship: v = √(T/μ).

v is the speed of the waves, T is the tension, and μ is the mass per unit length.