# Problem: A transverse harmonic wave travels on a rope according to the following expression:y(x,t) = 0.12sin(2.1x + 17.6t)The mass density of the rope is μ= 0.115 kg/m. x and y are measured in meters and t in seconds.What is the tension in the rope?

###### FREE Expert Solution

Velocity, v:

$\overline{)\begin{array}{rcl}{\mathbf{v}}& {\mathbf{=}}& \sqrt{\frac{\mathbf{T}}{\mathbf{\mu }}}\end{array}}$

v =  λf =λ(ω/2π) (2.99)(17.6/2π) = 8.37 m/s.

###### Problem Details

A transverse harmonic wave travels on a rope according to the following expression:

y(x,t) = 0.12sin(2.1x + 17.6t)

The mass density of the rope is μ= 0.115 kg/m. x and y are measured in meters and t in seconds.

What is the tension in the rope?