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#rotational inertia

4 public questions tagged with this topic.

Rotational Kinetic Energy and Dynamics

What is the physical quantity that measures the rotational inertia of a body?

Moment of inertia (I) measures rotational inertia, reflecting how mass is distributed relative to the axis and the body’s resistance to angular acceleration. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Moment of inertia. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Torque and Angular Momentum

A uniform rod of mass 4kg and length 2.5m is pivoted at its center. What is its moment of inertia about the pivot?

For a rod pivoted at its center: I = 112ML2. M = 4kg, L = 2.5m. I = 112×4×(2.5)2 = 4×6.2512 = 2512≈2.08kg m2. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.08 kg m². This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Vector Product and Rotational Kinematics

A thin uniform ring of mass 2kg and radius 0.5m rotates about its center. What is its moment of inertia?

For a thin ring: I = MR2. M = 2kg, R = 0.5m. I = 2×(0.5)2 = 0.5kg m2. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 0.5 kg m². This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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