I could not get how to solve this question: In the given equation y=Asin(wt-kx), obtain the dimensional formula of w and k; x, y, A-distances, t - time taken

Asked by  | 13th May, 2012, 10:00: AM

Expert Answer:

A is the distance
 
t is the time 
 
 

the term inside the brackets has to be dimensionless for the equation to be correct(because on both sides we have units of length, y and A).So dimension of wt=dimns. of kx=M^0L^0T^0

on solving we get, w=T^(-1) and k=L^(-1)

OR we know w is angular velocity which is angular displacement by time(angular displac. is dimensionless and k is

(2pi)/lambda (2pi a dimensionless constant)

Answered by  | 13th May, 2012, 08:02: PM

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