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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?
Question Description
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? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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