How to Use the Calculator
- Enter the torque value in newton-meters (Nm) in the "Torque" field.
- Enter the moment of inertia value in kilogram-meters squared (kg·m²) in the "Moment of Inertia" field.
- Click the "Calculate" button to compute the angular acceleration.
- The result will be displayed in radians per second squared (rad/s²).
Understanding the Formula
The calculator uses the formula:
α = τ / I
Where:
- α (alpha) is the angular acceleration in radians per second squared (rad/s²)
- τ (tau) is the torque applied in newton-meters (Nm)
- I is the moment of inertia in kilogram-meters squared (kg·m²)
Applications
This calculator is useful in various fields including:
- Physics for analyzing rotational motion
- Engineering for designing machinery and vehicles
- Robotics for calculating motor performance
- Mechanical systems for understanding load and motion relationships
Example
If a torque of 5 Nm is applied to an object with a moment of inertia of 2 kg·m², the angular acceleration would be:
α = 5 Nm / 2 kg·m² = 2.5 rad/s²