Question

y=Asin(wt-kx) find dimensional formula of w, A, k, w/k??​

Answer 1

Answer:

In the given equation y=Asin(ωt−kx)

Since, trigonometric function is a dimensionless quantity. So, (ωt−kx)is also dimensionless quantity.

So,

(ωt−kx)=1

ωt=1

[ω]=1/ [TT=T–¹

kx=1

[k]=1/L=L¹

Explanation:

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Answer 2

The expression depicting the powers to which the fundamental units are to be raised to obtain one unit of a derived quantity is known as the dimensional formula. It is given as, Q = MaLbTc, where, M, L, T are base dimensions with respective exponents a, b and, c. and Q is the physical quantity.