What is the magnitude of the angular momentum, about Earth’s center, of an 84 kg person on the equator due to the Earth’s rotation?
Mass of a person m = 84 kg
Radius of earth R = 6.37 x10 6 m
Period of earth in its own axis T = 24 hrs
= 24 x 60 x 60 s
Angular speed of earth
= 7.272 x10 -5 rad / s
Angular momentum L = mvR
= m(R) R
= mR 2
Substitute values you get L = 84 kg x (7.272 x10 -5 rad / s)(6.37 x10 6 m ) 2
= 2.478 x10 11 kg m 2 / s
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