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Grade 12Mechanics

The earth of mass m , radius r is revolving around sun in an orbit of radius D with an angular velocity ω and rotating around itself with an angular velocity ω' . What is the total kinetic energy of the earth ?

Profile image of sateesh babu rayala
16 Years agoGrade 12
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1 Answer

Profile image of Askiitian.Expert Rajat
16 Years ago

Hi,

It sometimes is convenient to split the total kinetic energy of a body into the sum of the body's center-of-mass translational kinetic energy and the energy of rotation around the center of mass (rotational energy):

 E_k = E_t + E_r \,

where:

Ek is the total kinetic energy
Et is the translational kinetic energy
Er is the rotational energy or angular kinetic energy in the rest frame

=.5mω2D+ .5I(ω')2

where, I = moment of inertia