Question

wat is the dimensional formula of centripetal force??? plzzz answer soon..

Answer 1

Centripetal force =MV*2/r

Dimensional formula =mlt*-2

Answer 2

The dimensional formula of centripetal force is $[M L T^{-2}]$

Explanation:

The dimensional formula for the centripetal force is calculated using the fundamental units which are defined exclusively.

The centripetal force is given by the formula given below:

$F=\frac{m v^{2}}{r}$

Now, the dimension for each quantity is derived below:

$\Rightarrow m=[M]$

$\Rightarrow r=[L]$

$\Rightarrow v=\left[L T^{-1}\right]$

Now, on substituting each dimensions on the formula, we get,

$F=\frac{[M]\left[L T^{-1}\right]^{2}}{[L]}$

$F=\frac{\left[M L^{2} T^{-2}\right]}{[L]}$

$\Rightarrow F=\left[M L T^{-2}\right]$

Therefore, centripetal force has dimensional formula as $[M L T^{-2}]$