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.

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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

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.