Check the correctness of the formula using dimensions: x=a sin (omegat +phi), x -displacement, alpha - amplitude, omega angular velocity phi is an angle and it has no dimensions.

Check the correctness of the formula using dimensions: x=a sin (omegat

1.	Check the correctness of the formula using dimensions: x=a sin (omegat +phi), x -displacement, alpha - amplitude, omega angular velocity phi is an angle and it has no dimensions.
Answer» Solution :Dimensions of `omega=(2pi)/T=T^(-1)` `:.` Dimensions of `OMEGAT` is `T^(-1)xxT=T^(0). Omegat` is also dimensionless Dimension of `X=[L]` Dimensions of `a=[L]` Thus each term on both sides of the EQUATION has the same dimensions. So the EQUATIONI is dimensionaly CORRECT.