12/k ?
a transverse wave is described by the equation A sin2(wt - kx ). the maximum particle velocity is equal to wave velocity if the value of A is
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3 Answers
106the wave equation is f(x,t) = A2 - Acos(2wt - 2kx)2
wave welocity = w/k
for calculating particle velocity, let us fix a particular position (x=0 for convenience)
then f(t) = A2 - Acos(2wt)2
f'(t) = wAsin(2wt)
so, vmax (of particle) = wA = w/k
=> A = 1/k
1asish,you are correct , it is 1/k.i hurriedly wrote sin2(ωt-kx) as 1-cos(ωt-kx)/2
