ExamBro
ExamBro
AP EAMCET · PHYSICS · Rotational Motion

The moment of inertia of a solid cylinder of mass 2.5 kg and radius 10 cm about its axis is

  1. A \(0.0725 \mathrm{~kg} \mathrm{~m}^2\)
  2. B \(12500 \mathrm{~kg} \mathrm{~m}^2\)
  3. C \(0.0125 \mathrm{~kg} \mathrm{~m}^2\)
  4. D \(72500 \mathrm{~kg} \mathrm{~m}^2\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(0.0125 \mathrm{~kg} \mathrm{~m}^2\)

Step-by-step Solution

Detailed explanation

\(R = 10 \text{ cm} = 0.1 \text{ m}\) \(I = \frac{1}{2}MR^2\) \(I = \frac{1}{2}(2.5)(0.1)^2 = 0.0125 \mathrm{~kg} \mathrm{~m}^2\)