Question

check the dimensional correctness of a = v2/r
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Answer 1

The equation is correct dimensionally.
Explanation:
Given equation is

= acceleration.
= velocity.
= radius.
The acceleration has units of , therefore its dimensions are .
The velocity has units of , therefore its dimensions are .
The radius has units of , therefore its dimensions are .
Dimensions of the RHS of the given equation is given by

which is dimensionally equal to the LHS of the given equation.
Thus, the equation is dimensionally correct.
This equation is representing the centripetal acceleration of a particle, moving in a circular path of radius with velocity .