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?

Answer 1

Answer:

2 m/s.

Explanation:

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

v = λ × f

where,

v is the speed of the wave

λ is the wavelength

f is the frequency

Given:

f = 4 Hz

λ = 0.5 m

v = (0.5 × 4)

= 2 m/s.

Answer 2

Answer:

2 m/s.

Explanation:

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

v = λ × f

where,

v is the speed of the wave

λ is the wavelength

f is the frequency

Given:

f = 4 Hz

λ = 0.5 m

v = (0.5 × 4)

= 2 m/s.