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## Homework Statement

Crab Nebula releases energy at a rate of 5x10

^{31}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-

^{13}s per second.

What is the moment of inertia of the neutron star?

## Homework Equations

dK/dt = -(4[tex]\pi[/tex]

^{2}I/T

^{3}) (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.

## 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 10

^{38}) is different from the answer provided (1.1 x 10

^{30}).