(Solved): Determine the angular momentum of the Earth a) about its axis of rotation (assume the Earth is a u ...

Determine the angular momentum of the Earth a) about its axis of rotation (assume the Earth is a uniform sphere), and b) in its orbit around the Sun (treat the Earth as a particle in a circular orbit around the Sun). The Earth has a mass of \( 6.0 \times 10^{24} \mathrm{~kg} \) and a radius of \( 6.4 \times 10^{6} \mathrm{~m} \); it is \( 1.5 \times 10^{8} \mathrm{~km} \) from the Sun.