Declared inertia and speed states

Flywheel energy change

Inputs

Declared rotational inertiaIkg·m²User-entered inertia about the stated rotation axis; geometry is not derived.

Declared initial speedn₁Initial non-negative speed magnitude for the stated rigid body.

Declared final speedn₂Final non-negative speed magnitude for the stated rigid body.

Initial angular speed

62.832

rad/s

Final angular speed

188.5

rad/s

Initial rotational kinetic energy

1.5791

Final rotational kinetic energy

14.212

Final minus initial energy

12.633

ω = 2πn/60; E = ½Iω²; ΔE = E2 − E1

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Calculation snapshot

Formula version 1.0.0

Declared rotational inertia	0.8
Declared initial speed	600
Declared final speed	1800

Initial angular speed	62.832 rad/s
Final angular speed	188.5 rad/s
Initial rotational kinetic energy	1.5791 kJ
Final rotational kinetic energy	14.212 kJ
Final minus initial energy	12.633 kJ

ω = 2πn/60 · E = ½Iω² · ΔE = E2 − E1

Standard rigid-body rotational dynamics:

This printout is a record of displayed inputs and deterministic formula output. It is not an approval, certification, or engineering conclusion.

Method

Calculate two rotational kinetic-energy states and their difference from inertia and initial/final speeds.

ω = 2πn/60; E = ½Iω²; ΔE = E2 − E1

When

Don’t

This is a rigid-body two-state rotational kinetic-energy calculation. It excludes rotating-body stress, containment, balance, overspeed, acceleration torque, transient dynamics, losses, material selection, safety, and approval.

Standard rigid-body rotational dynamics