Physics - Gravitation Question with Solution | TestHub

A circular horizontal platform of radius $R=1m$ is rotating about a vertical axis passing through its center O with an angular speed $\omega =1rad/s$. There are two observers, A and B, who are stationary with respect to the platform, standing on its periphery. There is another observer C who is standing on the ground at a distance $d=2m$ from O. Observer A observes a particle P to be moving with velocity $V^{\prime }=2m/s$ and acceleration $a^{\prime }=8m/s^2$ in the direction shown. At this instant, particle P is at a distance of $2m$ from O. Refer to the diagram of the platform from the top view. To transform the acceleration with respect to the rotating observer to acceleration with respect to the inertial observer, the following relation can be used:

Here, $r$ is the instantaneous position vector of the particle with respect to an origin taken on the axis of rotation. The term $2(\omega \times V^{\prime })$ is known as the Coriolis acceleration. The term $\omega \times (\omega \times r)$ is known as the centripetal acceleration, and is known as Euler's acceleration.