EasyPhysicsHigh School (11–12)Waves & Sound › Wave Motion Waves & Sound › Superposition and Standing WavesNumerical

A wave on a rope has a frequency of 40 Hz and a wavelength of 0.85 m.

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

A wave on a rope has a frequency of $40\ \text{Hz}$ and a wavelength of $0.85\ \text{m}$ . Find its speed. How far does it travel in $0.5\ \text{s}$ ?

Need a reminder? The key ideaShow

$v = f\lambda$ : the medium sets the speed, the source sets the frequency. On a string, $v = \sqrt{\dfrac{T}{\mu}}$ . Two waves in step: a path difference of whole wavelengths is loud, of odd half wavelengths is quiet. Beats: $|f_1 - f_2|$ each second.

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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← Some people say a rocket cannot work in space, because there is nothing to push against.Two speakers send out the same note, starting together, with a wavelength of 0.5 m. →

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