(Solved): A NASA satellite orbits around the Earth at a distance of \( 705 \mathrm{~km} \) above the Earth's ...

A NASA satellite orbits around the Earth at a distance of \( 705 \mathrm{~km} \) above the Earth's surface. How long does it take the satellite to make one full rotation around the Earth at this distance? (Assume the satellite's orbit is circular) \[ \begin{array}{c} \text { Circumference }=2 \pi r \\ 1 \text { revolution }=360^{\circ}=2 \pi \text { radians } \\ v=r \omega \end{array} \] Where \( v \) is linear velocity; \( r \) is the radius, and \( \omega \) is the angular velocity. \( 10.6 \) hours 95 hours \( 1.65 \) hours \( 23.8 \) hours