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## Homework Statement

The flywheel of a gasoline engine is required to give up 550 of kinetic energy while its angular speed decreases from 720 to 400 .

What moment of inertia is required?

## Homework Equations

K=(1/2)Iw^2

## The Attempt at a Solution

K=550J

I'm not sure how to get the w value since the velocity is changing.

I tried:

550=(1/2)I(320)^2

then solving for I

I=0.0107

but this is not correct.