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In the equation y = A sin (omega t - kx)...

In the equation `y = A sin (omega t - kx),` obtain the dimensional formula of `omega and k.` Given x is distnace and t is time.

Text Solution

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The givenequation is `y =A sin (omega t - kx)`
The argument of a trigonometrical function, i.e.,
angle is dimensionless
`i.e., omega t =theta`
`omega = (theta)/(t) = (1)/(T) = T^(-1) = [M^0 L^0 T^(-1)]`
Also,`k x =theta`
`k =(theta)/(x) = (1)/(L) = L^(-1) = [M^0 L^(-1) T^0]`
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