If the moment of inertia of a body is doubled, what will be the effect on its angular acceleration if the torque applied remains constant?

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Q: If the moment of inertia of a body is doubled, what will be the effect on its angular acceleration if the torque applied remains constant?

Solution: Angular acceleration α = τ/I. If I is doubled and τ remains constant, α is halved.

Steps: 6

Step 1: Understand the formula for angular acceleration, which is α = τ/I, where α is angular acceleration, τ is torque, and I is moment of inertia.
Step 2: Identify that if the moment of inertia (I) is doubled, it becomes 2I.
Step 3: Keep the torque (τ) constant in the equation.
Step 4: Substitute the new moment of inertia into the formula: α = τ/(2I).
Step 5: Compare the new angular acceleration to the original: the new angular acceleration is half of the original angular acceleration.
Step 6: Conclude that if the moment of inertia is doubled and torque remains constant, the angular acceleration is halved.