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How to findmoment of inertia of earth about its axis of rotation?

Answer»

If we assume EARTH is EXAMPLE of solid sphere.
we know, moment of INERTIA of solid sphere about its AXIS of rotation , I = 2/5 MR²
where M is mass of solid sphere and R is the radius of it.

so, Moment of inertia of earth about its axis of rotation = moment of inertia of solid sphere about its axis of rotation
= 2/5 MR²

if M = 5.97 × 10²⁴ KG,
R = 6.38×10^6 m,

so, I = 2/5 × (5.97 × 10²⁴) × (6.38 × 10^6)²
= 97.202 × 10^36
= 9.7202 × 10^37 kgm²



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