The transverse displacement (y) of a wave is given as a function of position (x

Question

The transverse displacement (y) of a wave is given as a function of position (x in meters) and time (t in seconds) by the expression to the below. Determine the wavelength, frequency, period, and phase constant of this waveform.

y(x,t)= ym sin(0.129x + 477t +3.05)

The transverse displacement (y) of a wave is given as a function of position (x in meters) and time (t in seconds) by the expression to the below. Determine the wavelength, frequency, period, and phase constant of this waveform. y(x,t)= ym sin(0.129x + 477t +3.05)

Explanation / Answer

Compare it with y = yo sin(kx+wt+phi)

k = 0.129 ==> k=2*pi/Lambda

Lambda = 2*pi/k = 48.68 m

frequency = w/2*pi = 477/(2*3.14) = 75.955 Hz

Period T = 1/f = 0.0131 sec

Phase constant Phi = 3.05

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