Centrifugal force — UPSC Physics Optional CSE 2022 Paper I

Consider two frames of reference S and S' having a common origin O. The frame S' is rotating with respect to the fixed frame S with a uniform \vec{\omega}=3a_x\,\mathrm{rad\,s^{-1}}. A projectile of unit mass at position vector \vec{r}=7a_x+4a_y\,\mathrm{m} is moving with \vec{v}=14a_y\,\mathrm{m\,s^{-1}}. Calculate in the rotating frame S' the following forces on the projectile:

(i) Euler's force

(ii) Coriolis force

(iii) Centrifugal force