JEE Main 2023 — Circular Motion Question with Solution

The centripetal force acting on an object moving along a circular path of radius $$r$$ and angular velocity $$\omega$$ is given by:

$$F_c=mr{\omega }^2$$

where $$m$$ is the mass of the object.

In this problem, the vehicle of mass $$m=200\mathrm{kg}$$ is moving along a circular path of radius $$r=70\mathrm{m}$$ with angular velocity $$\omega =0.2\mathrm{rad}/\mathrm{s}$$.

Substituting the given values into the formula, we get:

$$F_c=mr{\omega }^2=(200\mathrm{kg})(70\mathrm{m})(0.2rad/s{)}^2=\boxed{560\mathrm{N}}$$

Therefore, the centripetal force acting on the vehicle is $$560\mathrm{N}$$.