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A wave on a string is described by the relation y = A sin(38t-0.024x), where t is measured in seconds and x in meters, with A = 0.16 m Flnd the frequency of the wave 6.048 Hz Find the wavelength of the wave. Flnd the speed of the wave m/s

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Answer #1

Given y = Asin (38tー0.0242)

Comparing it with the general wave equation i.e. y = Asin(omega t -k x)

we have A0.16m , and w = 38rad/ s and 0.024m-1

1)To calculate the frequency:

omega = 2pi f

Then f = ー= 6.048Hz

2) The wavelength is calculated as:

2n λ= =261.8m

3) Speed U-ȚA 6.048 × 261.8 1583.4m/s

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