Rotational Dynamics Calculator
Analyze rotational motion by calculating torque, angular momentum, angular acceleration, and rotational kinetic energy. This calculator supports both scalar and vector inputs and includes different object shapes to compute moment of inertia with interactive vector visualization.
Formulas Used
- Torque: τ = r × F = rₓFᵧ − rᵧFₓ
- Angular Momentum: L = I × ω
- Angular Acceleration: α = τ / I
- Rotational KE: KE = ½ I ω²
- Point Mass: I = m r²
- Disk: I = ½ m r²
- Rod (center): I = (1/12) m L²
Use Cases
- - Rotational motion and torque analysis
- - Engineering and mechanical system design
- - Physics problem solving (circular motion)
- - Robotics and rotational mechanics
- - Understanding angular momentum and energy