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:

v=Tμ

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

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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?

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