A constant torque of \(100~\text{N-m}\) turns a wheel of moment of inertia \(300~\text{kg-m}^2\) about an axis passing through its centre. Starting from rest, its angular velocity after \(3~\text{s} \) is: 
1. \(1~\text{rad/s}\)
2. \(5~\text{rad/s}\)
3. \(10~\text{rad/s}\)
4. \(15~\text{rad/s}\)
Subtopic:  Rotational Motion: Dynamics |
 81%
Level 1: 80%+
NEET - 2023
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A string is wrapped along the rim of a wheel of the moment of inertia \(0.10~\text{kg-m}^2\) and radius \(10~\text{cm}.\) If the string is now pulled by a force of \(10~\text N,\) then the wheel starts to rotate about its axis from rest. The angular velocity of the wheel after \(2~\text s\) will be:

1. \(40~\text{rad/s}\) 2. \(80~\text{rad/s}\)
3. \(10~\text{rad/s}\) 4. \(20~\text{rad/s}\)
Subtopic:  Rotational Motion: Dynamics |
 80%
Level 1: 80%+
NEET - 2022
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A disc of radius \(2~\text{m}\) and mass \(100~\text{kg}\) rolls on a horizontal floor. Its centre of mass has a speed of \(20~\text{cm/s}\). How much work is needed to stop it?

1. \(1~\text{J}\) 2. \(3~\text{J}\)
3. \(30~\text{J}\) 4. \(2~\text{J}\)
Subtopic:  Rotational Motion: Dynamics |
Level 3: 35%-60%
NEET - 2019
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