Problem: A machine tugs sideways on an elastic rope with a frequency of 4.5 Hz. A graph of the transverse displacements of this rope wave at t=1.0s as a function of position is shown below.a. What is the velocity of waves on this rope?b. If the frequency of the machine tugging on the rope is doubled to f=9.0 Hz yet the tension in the rope remains the same, what is the new wavelength of waves on this rope? What is the new velocity of waves on this rope?

FREE Expert Solution

Velocity:

v=fλ

(a)

The distance from crest to crest if 0.4 m

λ = 0.4 m

f  = 4.5 Hz

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Problem Details

A machine tugs sideways on an elastic rope with a frequency of 4.5 Hz. A graph of the transverse displacements of this rope wave at t=1.0s as a function of position is shown below.

a. What is the velocity of waves on this rope?

b. If the frequency of the machine tugging on the rope is doubled to f=9.0 Hz yet the tension in the rope remains the same, what is the new wavelength of waves on this rope? What is the new velocity of waves on this rope?