Qn on Rotational Kinetic Energy

lavieenrose

1. The problem statement, all variables and given/known data
Crab Nebula releases energy at a rate of 5x10³¹ W, obtaining its energy from the rotational kinetic energy K of a neutron star at its centre.
Period of neutron star's rotation = 0.0331s. T increases by 4.22 x 10-¹³s per second.

What is the moment of inertia of the neutron star?

2. Relevant equations
dK/dt = -(4[tex]\pi[/tex]²I/T³) (dT/dt)
This was the first part of the question which I managed to prove already.
*Note: the pi is not supposed to be in superscript.

3. The attempt at a solution
I equated the power of the star to the above differential equation. Solving for I should be quite easy, but somehow my answer (1.1x 10³⁸) is different from the answer provided (1.1 x 10³⁰).

ehild

Your result looks correct.

ehild