Rotational kinetic energy of jupiter

[gbabe197]

Homework Statement

What is the rotational kinetic energy of Jupiter? Assume Jupiter is a uniform sphere with a rotational period of 9.81 hr.

Homework Equations

I= 2mr^2/5
Krot= I*omega^2/2
omega= 2pi/T

The Attempt at a Solution

i found the omega using the equation above and the period given
Then i found the moment of inertia using the equation above as well. Took the mass as 1.898e27 kg. and the radius as 71492000 metres.

I substituted both of these into the equation of rotational kinetic energy and did not get the right answer. any help would be appreciated

 

[Doc Al]

Sounds like you have the correct approach. Check your units and your arithmetic.