Just a really quick and easy question ,
A 1.0 kg flywheel of radius 0.30m, initially at rest rotates 1000 times in 10.0s. compute precisely the following a.) angular acceleration b.) final angular velocity c.) Average linear velocity d.) Change in rotational kinetic energy

Question

Just a really quick and easy question , 
A 1.0 kg flywheel of radius 0.30m, initially at rest rotates 1000 times in 10.0s. compute precisely the following a.) angular acceleration b.) final angular velocity c.) Average linear velocity d.) Change in rotational kinetic energy

anonymous · Answer

Ok, starting with a), angular acceleration. We know that acceleration is change in velocity over time. Angular acceleration is going to be change in angular velocity over time: $$\alpha = \frac{d \omega}{dt}$$ Angular velocity is defined in radians/second. I'm *totally* exhausted, so I need to stop here.:P There's a great video on it here: http://www.khanacademy.org/science/physics/mechanics/v/relationship-between-angular-velocity-and-speed Hope that helps.