Question

 A standing wave experiment is performed to determine the speed of waves in a rope. The standing wave pattern shown below is established in the rope. The rope makes exactly 90 complete vibrational cycles in one minute. The speed of the waves is ____ m/s.​

Answer 1

Answer:

The speed of the waves is __6__ m/s.​

Explanation:

Given

Total number of vibrations = 90

Total time taken for 90 vibrations = 60 seconds

Frequency of the wave = 90/60 = 1.5 Hz

The length of the rope as shown in the attached figure is 6 meters

The  wavelength = 6/1.5 = 4.0 meters.

As we know

v=f*w

v = velocity

f = frequency

w = wavelength

Substituting the given values we get -

speed = 6.0 m/s