Calculate the angular momentum and rotational kinetic energy of the earth about its own axis. Given mass of the earth is 6 xx 10^(24)kg and its radius = 6.4 xx 10^3 km. [Moment of inertia of the earth about its axis of rotation is 2/5 mr^(2)]

Calculate the angular momentum and rotational kinetic energy of the ea

1.	Calculate the angular momentum and rotational kinetic energy of the earth about its own axis. Given mass of the earth is 6 xx 10^(24)kg and its radius = 6.4 xx 10^3 km. [Moment of inertia of the earth about its axis of rotation is 2/5 mr^(2)]
Answer» Solution :`T =24h, L = (2//5) mr^(2) xx(2pi//T) = 7.14 xx 10^(23)Js, K.E. (1//2) Iomega^(2) = (1//2)L omega = (pi)(L//T) = 2.6 xx 10^(29)` J