Incomplete question.The complete question is here
An energy storage system based on a flywheel (a rotating disk) can store a maximum of 4.1 MJ when the flywheel is rotating at 14000 revolutions per minute.What is the moment of inertia of the flywheel?
Answer:
Moment of inertia=3.82 kg.m²
Explanation:
Given data
Energy E=4.1 MJ=4.1×10⁶J
Angular speed ω= 14000 rev/min= 14000×2π/60=1465.3 rad/s
To find
Moment of Inertia
Solution
A rotating flywheel must store its energy as kinetic energy
Let I be moment of inertia of the flywheel.We Know
[tex]E(Energy)=\frac{1}{2}Iw^{2}\\ I=\frac{2E}{w^{2} }\\ I=\frac{2(4.1*10^{6}) }{(1465.3)^{2} }\\ I=3.82 kgm^{2}[/tex]
