Question

The moment of inertia of the Earth about its axis of rotation is 9.83 × 10³⁷ kg.m² and its angular speed is 7.27 × 10^-5 rad/s. Calculate its 

(i) kinetic energy of rotation

(ii) radius of gyration. [ Mass of the Earth = 6 × 10²⁴ kg]

Answer 1

Data : I = 9.83 × 10³⁷ kg.m² , ω = 7.27 × 10^-5 rad/s, M = 6 × 10²⁴ kg

(i) The kinetic energy of rotation of the Earth,

(ii) I = Mk²

The radius of gyration,