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.

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?

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