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The displacement of a particle of a stri...

The displacement of a particle of a string carrying a travelling wave is given by `y = (3.0cm) sin 6.28 (0.50x - 50t),` where x is in centimetre and t in second Find (a) the amplitude, (b) the wavelength, (c ) the frequency and (d) the speed of the wave.

Text Solution

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Comparing with the standard wave equation `y = A sin (kx-omegat)`
`= Asin 2pi((x)/(lambda) - (t)/(T))`
We see that, amplitude A = 3.0 cm, wavelength` =lambda = (1)/(0.50)cm = 2.0cm,` and the frequency ` = V = (1)/(T) = 50 Hz.` The speed of the wave is `upsilon = v lambda`
`=(50 s^(-1) (2.0 cm)`
`=100 cm s^(-1)`
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