Rotational Dynamics Calculator
Calculate and visualize rotational motion by analyzing torque, angular momentum, angular acceleration, and rotational kinetic energy. This calculator supports both scalar (magnitude-angle) and vector inputs with multiple object shapes to compute moment of inertia and dynamic behavior.
Formulas Used
- Torque: τ = r × F = rₓFᵧ − rᵧFₓ
- Angular Momentum: L = I × ω
- Angular Acceleration: α = τ / I
- Rotational Kinetic Energy: KE = ½ I ω²
- Point Mass: I = m r²
- Disk: I = ½ m r²
- Rod (center): I = (1/12) m L²
Use Cases
- - Torque and rotational motion analysis
- - Mechanical and engineering system design
- - Robotics and rotational control systems
- - Physics problem solving (circular motion)
- - Energy and angular momentum calculations