Question

The acceleration of a particle as a function of time is represented by the equation a = A sin Bt What are the dimensional formula of A and B and their SI units?

Answer 1

Answer:

Consider one of the equations of constant acceleration,

s = ut + 1/2 at2. (1)

The equation contains three terms: s, ut and 1/2at2. All three terms must have the same dimensions.

s: displacement = a unit of length, L

ut: velocity x time = LT-1 x T = L

1/2at2 = acceleration x time = LT-2 x T2 = L

All three terms have units of length and hence this equation is dimensionally valid. Of course this does not tell us if the equation is physically correct, nor does it tell us whether the constant 1/2 is correct or not.

Explanation:

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