# Circular Orbits

1. Oct 17, 2010

### eestep

1. The problem statement, all variables and given/known data
Scientists are examining a distant planet where mass of planet is 5.24 x 1022 kg with a radius of 37, 757 km. It is spinning so fast that anything on equator of planet will fly off. What would be rotation period of planet in minutes for this to occur? (In other words what would be length of a day on this planet if it rotated at rate in order to make any object on equator fly off planet?) Answer is 13.
r=37, 757km
G=6.67 x 10-11Nm2/kg2

2. Relevant equations
T=$$\sqrt{}4pi^2$$r3/Gmp

3. The attempt at a solution
T=7.80 x 105s
7.8 x 10 5s*min/60s=1.30 x 104min