Question:
A constant torque of $31.4\, Nm$ is exerted on a pivoted wheel. If angular acceleration of wheel is $4\pi\,rad\,s^{-2}$, then the moment of inertia of w heel is
A constant torque of $31.4\, Nm$ is exerted on a pivoted wheel. If angular acceleration of wheel is $4\pi\,rad\,s^{-2}$, then the moment of inertia of w heel is
Updated On: Jul 5, 2022
- $3.5\,kg\,m^2$
- $2.5\,kg\,m^2$
- $4.5\,kg\,m^2$
- $5.5\,kg\,m^2$
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The Correct Option is B
Solution and Explanation
$I \alpha = \tau \, i.e. \, I = \frac{\tau}{\alpha} = \frac{31.4}{4 \pi} = 2.5 \, kg \, m^2$
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Concepts Used:
System of Particles and Rotational Motion
- The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
- The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
- The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.