# Maximizing KE in flywheel energy storage system (KERPS)

1. The problem statement, all variables and given/known data

Describe and explain some of the design features of a flywheel in order for it to store
maximum energy. Your answer should include consideration of the flywheels shape,
the material from which it is made and its design for high angular speeds.

2. Relevant equations

KE=Iω2/2
T=Iα
Angular momentum=Iω
I=∑mr2

3. The attempt at a solution

The only part I do not understand about the question is that the answer states that high density material is preferred to increase the mass of the flywheel.

What I am thinking is that, to maximize the kinetic energy of the flywheel, mass of the flywheel must be low because of the conservation of angular momentum.

Since kinetic energy is Iω2/2, an increase in ω results in a greater increase in kinetic energy. Also, since angular momentum is conserved, I must be low for ω to be big.

Since I=∑mr2, mass must be low for I to be low.

What did I get wrong?

Any help would be appreciated.

http://ift.tt/1lnAQZ5