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A sinusoida wave is travelling along a ...

A sinusoida wave is travelling along a rope. The oscillator that generates wave completes 40.0 vibration in 30.0 s. also, a given 'maximum' travels 425 cm along the rope in 10.0 s. what is the wavelength of the wave ?

Text Solution

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The given information comprises things that can be measured directly in laboratory. A high speed photograph would reveal the wavelength which can be compounted from `v=f lambda`.
The frequency is `f=(40.0 waves)/(30.0 s)=1.33 s^(-1)`
and the wave speed is
`v=425/(10.0 s)=42.5cm//s`
since `v=lambdaf`, the wavelength is
`lambda=v/f=(42.5 cm)/(1.33 s^(-1)=0.319 m`
if we turn up the oscillator to a higer frequency, the wavelength would get shorter because speed is a constant factor. it is determined just by the properties of the string itself.
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