Question

A thin spherical shell of radius \( 0.5 \, \text{m} \) and mass \( 2 \, \text{kg} \) is rotating about its axis of symmetry with an angular velocity of \( 10 \, \text{rad/s} \). What is its moment of inertia?

• A. \( 1 \, \text{kg} \cdot \text{m}^2 \)
• B. \(0.5 \, \text{kg} \cdot \text{m}^2 \)
• C. \( 2.0 \, \text{kg} \cdot \text{m}^2 \)
• D. \( 4.0 \, \text{kg} \cdot \text{m}^2 \)

Hint:

Remember: The moment of inertia for a thin spherical shell depends on its mass and radius, and it differs from that of a solid sphere.