The moment of inertia I of a sphere of uniform density is gi

The moment of inertia I of a sphere of uniform density is given by =I25mR2 , where m is the mass and R is the radius. Make an order of magnitude estimate of I when =m0.541kg and =R0.78m . Write your answer as a power of ten.

Solution

Moment of inertia I = (2/5)MR^2

M = 0.541 kg ; R = 0.78m

I = (2/5)(0.541)(0.78)^2 = 0.1312 = 13.2 x 10^-2 kg-mt^2