Question

A hollow sphere of mass 50 kg and radius 5 cm is rotated about one of its diameter. The rotational inertia of hollow sphere about this axis is.

• A. $2500kg{m}^2$
• B. $\frac{2500}{3}kg{m}^2$
• C. $\frac{2500}{3}kgc{m}^2$
• D. $2500kgc{m}^2$

Answer 1

The correct option is C $\frac{2500}{3}kgc{m}^2$

As you know, $(M.I{)}_{Hollowsphere}=\frac{2}{3}M{R}^2$
Given, M = 50 kg
R = 5 cm
$(M.I{)}_{Hollowsphere}=\frac{2}{3}M{R}^2$ =$\frac{2500}{3}kgc{m}^2$