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» <html><body><p></p>Solution :Dimensions of `omega=(2pi)/T=T^(-1)` <br/> `:.` Dimensions of `<a href="https://interviewquestions.tuteehub.com/tag/omegat-2889234" style="font-weight:bold;" target="_blank" title="Click to know more about OMEGAT">OMEGAT</a>` is `T^(-1)xxT=T^(0). Omegat` is also dimensionless <br/> Dimension of `<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>=[L]` <br/> Dimensions of `a=[L]` <br/> Thus each term on both sides of the <a href="https://interviewquestions.tuteehub.com/tag/equation-974081" style="font-weight:bold;" target="_blank" title="Click to know more about EQUATION">EQUATION</a> has the same dimensions. So the <a href="https://interviewquestions.tuteehub.com/tag/equationi-2617678" style="font-weight:bold;" target="_blank" title="Click to know more about EQUATIONI">EQUATIONI</a> is dimensionaly <a href="https://interviewquestions.tuteehub.com/tag/correct-409949" style="font-weight:bold;" target="_blank" title="Click to know more about CORRECT">CORRECT</a>.</body></html>