Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

Determine the moment of inertia of a solid sphere 4 m in diameter and of mass 8 kg about an axis through its centre.
Options
A 6.4 kg·m²
B 16 kg·m²
C 8 kg·m²
D 12.8 kg·m²
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Radius r = 2 m. For solid sphere, I = (2/5)MR² = (2/5) × 8 × (2)² = (2/5) × 8 × 4 = (2/5) × 32 = 64/5 = 12.8 kg·m².

Hint

I_solid sphere = (2/5)MR².

Question Info