1. The problem statement, all variables and given/known data The fastest possible rate of rotation of a planet is that for which the gravitational force on material at the equator just barely proved the centripetal force needed for the rotation. a) show that the corresponding shortest period of rotation is T=(√3π)/(√Gp) where p is the uniform density of the spherical planet. b) Calculate the rotation period assuming a density of 3 g/cm^3. 2. Relevant equations Newton's law of gravitation. Equation for centripetal acceleration and force. Equation for period. 3. The attempt at a solution I do not understand the first sentence really well. If someone could elucidate the first question, so I can understand, then I might be able to tackle the problem.