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.

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?

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

think its the third option