A vehicle of mass $200 \mathrm{~kg}$ is moving along a levelled curved road of radius $70 \mathrm{~m}$ with angular velocity of $0.2 ~\mathrm{rad} / \mathrm{s}$. The centripetal force acting on the vehicle is:
Solution
The centripetal force acting on an object moving along a circular path of radius $r$ and angular velocity $\omega$ is given by:
<br/><br/>
$F_c=mr\omega^2$
<br/><br/>
where $m$ is the mass of the object.
<br/><br/>
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 $\omega=0.2 ~\mathrm{rad}/\mathrm{s}$. <br/><br/>Substituting the given values into the formula, we get:
<br/><br/>
$$F_c=mr\omega^2=(200~\mathrm{kg})(70~\mathrm{m})(0.2~\mathrm{rad/s})^2=\boxed{560~\mathrm{N}}$$
<br/><br/>
Therefore, the centripetal force acting on the vehicle is $560~\mathrm{N}$.
About this question
Subject: Physics · Chapter: Rotational Motion · Topic: Torque and Angular Momentum
This question is part of PrepWiser's free JEE Main question bank. 158 more solved questions on Rotational Motion are available — start with the harder ones if your accuracy is >70%.