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Question detail

A hoop of mass 3 kg and radius 0.5 m is rotating about its central axis. What is its moment of inertia?

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At a glance

MCQ

Type

practice

Style

Topic

Rotational dynamics

Exam-style question

Try this first

A hoop of mass 3 kg and radius 0.5 m is rotating about its central axis. What is its moment of inertia?.

  1. A.0.75 kg·m²
  2. B.1.5 kg·m²
  3. C.3 kg·m²
  4. D.7.5 kg·m²

Model answer

What a good answer should say

  • 0.75 kg·m²

Explanation

Why this works

The formula for the moment of inertia of a hoop is I = m * r². Substituting the values, I = 3 kg * (0.5 m)² = 3 * 0.25 = 0.75 kg·m².

Thus, the moment of inertia is 0.75 kg·m².

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