Physics Problem: Orbital Altitude for Geosynchronous Orbits

In a geosynchronous orbit, an object orbits with an orbital period of 1 day (technically, it’s a little shorter because of the difference between a solar day and a sidereal day-but that’s another story). If you have an object in geosynchronous orbit above the Earth’s equator, it will stay in the same position in the sky relative to the Earth. How far above the surface of the Earth does an object need to be in geostationary orbit?
I'm working through chapter summaries for introductory physics (algebra-based). I'm using the Openstax online (free) textbook College Physics. You can access this book here openstax.org/d...
Here is the playlist with all the videos and problems for this course.
• Online Physics 1 2024