Express the rotational kinetic energy of the earth in terms of its period of rotation. The moment
of inertia of the earth about its spin axis is 8.04 × 1037 kg m2. Calculate its rotational kinetic
energy.
1
Expert's answer
2013-04-04T05:03:12-0400
The formula for kinetic energy is: E=wJ^2/2
where J is the moment of inertia of the Earth about its spin axis, and w is its angular velocity. Angular velocity is related to period of rotation as w=2pi/T = 2 pi/ (24 hours) = 2 pi/(86400 seconds)
The energy is E =& 2 pi/(86400 seconds) *& 8.04 × 10^(37) kg m^2 = 58.5 J × 10^(32)
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