Physics - Rotation Question with Solution | TestHub

As the satellite is moving in equatorial plane with orbital radius $4\times 10^7\mathrm{m}$. $\therefore$ Satellite is geostationary satellite. Hence, the time taken by satellite to complete its one revolution, $T=24\mathrm{h}=86400\mathrm{s}$ Velocity of satellite, $v=\frac{2\pi r}{T}$ Angular momentum, $L=mvr$ $\begin{array}{rl}& L=m\left(\frac{2\pi r}{T}\right)r=\frac{2\pi m}{T}{r}^2\\ & \therefore L=\frac{2\times 3.14\times 500}{86400}\times {\left(4\times 10^7\right)}^2\\ & =0.58\times 10^{14}\mathrm{kg}{\mathrm{m}}^2{\mathrm{s}}^{-1}\\ & \end{array}$