Question

If force $F$, work $W$ and velocity $v$ are taken as fundamental quantities, then the dimensional formula of time is :

Answer 1

Work done=Force $\times$ distance

As distance $=$ Velocity$\times$ time

$\because$ $v=\frac{Distance}{time}$

$W=F.v.t$

$\therefore$ $t=\frac{W}{Fv}$

$\therefore$ $\left[T\right]=\left[W{F}^{-1}{V}^{-1}\right]$