Thomas and Kelsey are using a jump rope to model a typical wave. The wave they produce has a frequency of 4.2 hertz (Hz), an amplitude of 2.5 meters (m), and a wavelength of 5 m. What is the velocity, in meters per second (m/s), of this wave?

Question

Jessie Rowland

Mathematics

10 September, 18:20

Thomas and Kelsey are using a jump rope to model a typical wave. The wave they produce has a frequency of 4.2 hertz (Hz), an amplitude of 2.5 meters (m), and a wavelength of 5 m. What is the velocity, in meters per second (m/s), of this wave?

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Answers (1)

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Andre Cowan · Answer 1

The following expression shows the relationship between wavelength, velocity and frequency of a wave:

Wavelength [m] = Velocity [m/s] / frequency [Hz]

Making velocity the subject of the formula;

Velocity = Wavelength*Frequency = 5*4.2 = 21 m/s