The Moon orbits Earth at an average distance of with a period of days.

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

The Moon orbits Earth at an average distance of

3.84\times10^{5}\,\text{km}

with a period of

27.3

days. (i) Determine the orbital radius (from Earth’s centre) required for a satellite that completes one revolution in exactly

24\,\text{h}

. (ii) Using the value obtained in part (i), calculate the linear speed of this satellite in its orbit.