Rotary Disc Inertia Calculator
Quickly calculate the mass and moment of inertia (J) of solid or hollow discs for non-standard design and motor sizing.
mm
mm
mm
kg/m³
Calculation Results
Volume
- cm³
Mass
- kg
Moment of Inertia J (Standard)
- kg·m²
Moment of Inertia J (Small)
- kg·cm²
Design & Sizing Tips
Why is Inertia Important?
When selecting servo motors, stepper motors, or cam indexers, the load's moment of inertia is a critical parameter that determines the system's acceleration capability, response speed, and stability. The inertia ratio (load inertia / motor rotor inertia) is usually recommended to be kept within 1:5 to 1:10.
How to Reduce Moment of Inertia?
As seen from the formula J = 1/2 m r², inertia is proportional to the square of the radius. To reduce inertia:
- Prioritize reducing the outer diameter of the disc.
- Remove material (e.g., drilling holes or adding slots) near the outer edge, as outer mass contributes significantly more to inertia than inner mass.
- Use lighter materials (e.g., replace steel with aluminum).
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