What equations can I use to find the tension in this cable? Transverse pulse ?

[riseofphoenix]

What equations can I use to find the tension in this cable?? "Transverse pulse"??

I know I'm given the following but I have no idea what equation to use...does anyone know?

Mass: m = 0.180 kg
Length: L = 4.20 m

μ = mass (m) / unit length of cord (L)​

Time for 4 trips down and back: 0.845 s
Tension: T = ? N

1) Equation to use: v = √(T/μ)

2) First find v and μ

v = distance/time
v = 2(4 trips)/0.845 s
v = 8/0.845
v = 9.467
v_{along the cord} = 9.467(L)
v_{along the cord} = 9.467(4.20 m)
v_{along the cord} = 9.467(4.20 m)
v_{along the cord} = 39.76331361 m/s

μ = m/L
μ = (0.180 kg)/(4.20 m)
μ = 0.042857

3) Plug everything in equation v = √(T/μ) and solve for T

(v)² = [√(T/μ)]²
v² = T/μ
μv² = T
0.042857(39.76331361²) = T
0.042857(1581.121109) = T
67.76210738 = T
67.8 N = T

Did I have the equations right??

 

[mfb]

Your calculation of v looks weird, but the general concept (and the result) are fine.