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Rotational Kinetic Energy Calculator

Physics
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Calculates the kinetic energy an object possesses due to its rotation (KE = 1/2 Iω²).

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Moment of Inertia (I) and Angular Velocity (ω) in the units shown.

Step 2

Read Rotational Kinetic Energy (KE) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

Moment of Inertia (I): 1 kg⋅m²; Angular Velocity (ω): 2 rad/s

Rotational Kinetic Energy (KE): 2 Joules

Example 2

Moment of Inertia (I): 2 kg⋅m²; Angular Velocity (ω): 3 rad/s

Rotational Kinetic Energy (KE): 9 Joules

Example 3

Moment of Inertia (I): 5 kg⋅m²; Angular Velocity (ω): 1 rad/s

Rotational Kinetic Energy (KE): 2.5 Joules

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