Question

A rope has one end tied to a vertical support. You hold the other end so that the rope is horizontal. If you move the end of the rope back and forth with a frequency of 4 Hz, the transverse wave you produce has a wavelength of 0.5 m. What is the speed of the wave in the rope?a. 0.13 m/sb. 8 m/sc. 2 m/sd. 4 m/s

Answer 1

c. 2 m/s

Step-by-step explanation:

The relationship between speed, frequency and wavelength of a wave is given by:

`v=f \lambda`

where

v is the speed of the wave

f is its frequency

`\lambda` is the wavelength

For the transverse wave in this problem, we have:

`f = 4 Hz` is the frequency

`\lambda=0.5 m` is the wavelength

Substituting these numbers into the equation, we find the speed of the wave:

`v=(4 Hz)(0.5 m)=2 m/s`