Rotational kinetic energy

Rigid body dynamics · Physics

Simple pendulum

Interactive 3D

Release the bob and watch true small-angle SHM. The period depends only on the string length.

Controls

Drag the sliders or type a value — the simulation updates live.

String lengthm

0.3m2m

Release angle°

5°45°

Study notes

Let's calculate the Rotational Kinetic Energy of a spinning solid disc. Step 1: Identify the formula: K_rot = (1/2) * I * ω^2. Step 2: Suppose the disc has a Moment of Inertia (I) of 2 kg·m^2. Step 3: Suppose the disc is spinning at an Angular Velocity (ω) of 3 radians per second. Step 4: Plug the values into the formula: K_rot = 0.5 * 2 * (3^2). Step 5: Solve the square: 3^2 = 9. Step 6: Multiply: 0.5 * 2 = 1. Then 1 * 9 = 9. The Rotational Kinetic Energy is 9 Joules.