- #1
Tonyt88
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Homework Statement
Consider a planet with uniform mass density p. If the planet rotates too fast, it will fly apart. Show that the minimum period of rotation is given by:
T = (3 pi)^(1/2)
...(G p)^(1/2)
What is the minimum T if p = 5.5 g/cm^3?
Homework Equations
T = 2 pi r
...v
v = (G m)^(1/2)
...(r)^(1/2)
The Attempt at a Solution
I combined the two equations to have:
T = 2 pi (r)^(3/2)
...(G m)^(1/2)
I found dr/dT to have:
3 pi (r)^(1/2)
(G m)^(1/2)
What am I doing incorrectly?