A wheel having moment of inertia 2 kg–m2 about its vertical axis, rotates at the rate of 60 rpm about the axis. The torque which can stop the wheel's rotation in one minute would be
\(\frac{\pi}{12}\) N-m
\(\frac{\pi}{15}\) N-m
\(\frac{\pi}{18}\)N-m
\(\frac{2\pi}{15}\) N-m
The Correct Option is B
Solution and Explanation
The torque required to stop the wheel's rotation in one minute is approximately \(\frac{\pi}{15}\) N-m
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Concepts Used:
Rotational Motion
Rotational motion can be defined as the motion of an object around a circular path, in a fixed orbit.
Rotational Motion Examples:
The wheel or rotor of a motor, which appears in rotation motion problems, is a common example of the rotational motion of a rigid body.
Other examples:
- Moving by Bus
- Sailing of Boat
- Dog walking
- A person shaking the plant.
- A stone falls straight at the surface of the earth.
- Movement of a coin over a carrom board
Types of Motion involving Rotation:
- Rotation about a fixed axis (Pure rotation)
- Rotation about an axis of rotation (Combined translational and rotational motion)
- Rotation about an axis in the rotation (rotating axis)