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/s

b. 8 m/s

c. 2 m/s

d. 4 m/s

Answer 1

Like any other wave, the speed of the wave on the rope is

Speed = (frequency) x (wavelength)

Speed = (4 Hz) x (0.5 m)

Speed = 2 m/s