Question

the dimensional formula for w in the relation y-a sin wt is?

Answer 1

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)

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Answer 2

bro your question is not completed ... aapne question nahi sahi diyaa tha lekin .. phir bhi soln hai dekh lo aap

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)