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.

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30-04-2021
Physics

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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.

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Netta00 Netta00 · Answer 1 · 2021-05-05T19:29:57+02:00

Netta00 Netta00

05-05-2021

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

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Eduard22sly Eduard22sly · Answer 2 · 2022-02-08T14:43:02+01:00

The speed of the waves obtained is 6 m/s

Data obtained from the question

Number of complete cycles = 90
Time = 1 min = 60 s
Length of rope = 6 m
Velocity (v) =?

How to determine the frequency

Number of complete cycles (n) = 90
Time (t) = 1 min = 60 s
Frequency (f) =?

f = n/t

f = 90 / 60

f = 1.5 Hz

How to determine the velocity

Frequency (f) = 1.5 Hz
Length of rope (L) = 6 m
Wavelength (λ) = 2L / 3 = (2×6)/3 = 4m
Velocity (v) =?

v = λf

v = 4 × 1.5

v = 6 m/s

Complete question

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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.​

Respuesta :

Data obtained from the question

How to determine the frequency

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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.