The transverse displacement (y) of a wave is given as a function of position (x
ID: 2255692 • Letter: T
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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