What do you mean by centripetal acceleration ? Deduce the formula for centripetal acceleration of a body executing circular motion with uniform velocity in terms of angular velocity
What do you mean by centripetal acceleration ? Deduce the formula for centripetal acceleration of a body executing circular motion with uniform velocity in terms of angular velocity

rate of change of tangential velocity is called as the centripetal acceleration.

    \[\mathrm{F}=\frac{\mathrm{mv}^{2}}{\mathrm{r}}\]

centripetal acceleration is given by,

    \[\mathrm{a}_{\mathrm{c}}=\frac{\mathrm{F}}{\mathrm{m}}\]

    \[=\frac{\frac{\mathrm{mv}^{2}}{\mathrm{r}}}{\mathrm{m}}\]

    \[\therefore \mathrm{a}_{\mathrm{c}}=\frac{\mathrm{v}^{2}}{\mathrm{r}}\]