Question

if equation y = A sin ( wt = kx ) , t stood for time and distance respectively obtain dimensional formula for w and k with explanation please
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Answer 1

Answer:

Angle is dimension less quantity.So the argument (wt-kx) is a dimension less.So wt & kx are also dimension less separately ,now  the dimension of time is [ T ],so dimension of w must be [1/T ] in order to make their product dimension less and with similar argument the dimension of k is [1/L]

actually w is called angular frequency ,means number of full cycle in unit time and k is called propagation vector and it equal to 2π/(wave length)

Step-by-step explanation:

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