Question

A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.14sin(2.7x...

A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.14sin(2.7x + 17.5t) The mass density of the rope is ? = 0.147 kg/m. x and y are measured in meters and t in seconds.

What is the amplitude of the wave?

What is the frequency of oscillation of the wave?

What is the wavelength of the wave?

What is the tension in the rope?

At x = 3.1 m and t = 0.43 s, what is the velocity of the rope?

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Homework Answers

Answer #1

Equation of transverse harmonic wave is    

Comparing it with

Ampiltude of wave is

Frequency of oscillation of the wave is

Wavelength of wave

using and  

Tension in the rope

differentiating above expression w.r.t time ,

Velocity of rope at and

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