Is V=U+At Dimensionally Correct?

Is V=U+At Dimensionally Correct?

To check the correctness of physical equation, v = u + at, Where 'u' is the initial velocity, 'v' is the final velocity, 'a' is the acceleration and 't' is the time in which the change occurs. From (1) and (2) we have [L.H.S.] = [R.H.S.] Hence by principle of homogeneity the given equation is dimensionally correct.

What is the dimensional formula of V u at?

The dimensional formula of u is [M0LT-1]. The dimensional formula of v is [M0LT-1]. The dimensional formula of at is [M0LT-2][T]=[M0LT-1].

Which equation is dimensionally correct?

Therefore the equation is dimensionally correct. The angle subtended by an arc of length l, circle of radius r, at the center is given by t/r. Thus, we can say that formula θ = r/l is dimensionally correct but numerically wrong.

Alexander Ross
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Alexander Ross

Alexander Ross has covered the video game industry for a decade, writing deep dives on game design, esports tournaments, VR developments, and gaming culture.