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**The fastest rate of rotation of a planet is that for which the gravitational force on matter at the equator just provides the centripetal force necessary for that matter to move with circular motion. Show that the period of rotation in this case is given by T= √3π/Gp where the planet is assumed to be a uniform sphere of density p (which has units of kgm^3(**

**Volume sphere = 4/3πr^3**

Universal Gravitational Constant = 6.67 x10^-11

Universal Gravitational Constant = 6.67 x10^-11

**I truly have no idea where to start please help!**