If the Earth is treated as a sphere of radius R and mass M, its angular momentum about the axis of rotation with period T is?
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Hey Dear,
◆ Answer -
L = 4/5 πMR²/T
◆ Explaination -
Moment of inertia of solid sphere is given by -
I = 2/5 MR²
Angular velocity of the earth is given as -
ω = 2π/T
Angular momentum about axis of rotation is given by -
L = I × ω
L = 2/5 MR² × 2π/T
L = 4/5 πMR²/T
Thus, angular momentum of earth about its axis of rotation is 4/5 πMR²/T .
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