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The moment of inertia about an axis of a body which is rotating with angular velocity 1 rads−1 is numerically equal to
  • a)
    One-fourth of its rotational kinetic energy
  • b)
    Half of the rotational kinetic energy
  • c)
    Rotational kinetic energy
  • d)
    Twice the rotational kinetic energy
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The moment of inertia about an axis of a body which is rotating with a...
Rotational kinetic energy,

ie, moment of inertia about an axis of a body is twice the rotational kinetic energy.
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Community Answer
The moment of inertia about an axis of a body which is rotating with a...
Explanation:

Moment of Inertia:
- The moment of inertia of a body rotating about a given axis is a measure of its resistance to changes in its rotational motion.
- It depends on the mass distribution of the body and the axis of rotation.

Rotational Kinetic Energy:
- Rotational kinetic energy is the energy associated with the rotation of an object.
- It is given by the formula KE = 0.5 * I * ω^2, where I is the moment of inertia and ω is the angular velocity.

Relation between Moment of Inertia and Rotational Kinetic Energy:
- The moment of inertia about an axis of a body rotating with angular velocity ω is numerically equal to twice the rotational kinetic energy.
- Mathematically, I = 2 * KE / ω^2.
- Therefore, the moment of inertia is directly proportional to the rotational kinetic energy.

Conclusion:
- Hence, the correct answer is option 'D' - Twice the rotational kinetic energy.
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The moment of inertia about an axis of a body which is rotating with angular velocity 1 rads−1is numerically equal toa)One-fourth of its rotational kinetic energyb)Half of the rotational kinetic energyc)Rotational kinetic energyd)Twice the rotational kinetic energyCorrect answer is option 'D'. Can you explain this answer?
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