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Robot Payload & Inertia Calculator

Calculate the moment of inertia for your robotic arm payload to ensure the robot can safely handle your End-of-Arm-Tooling (EOAT) and workpiece without faulting or vibration issues.

Calculator Inputs

Step 1: Select Your Robot

Consult your robot's technical specifications sheet

Step 2: EOAT (End-of-Arm-Tooling) Properties

Step 3: Workpiece Properties

Distance from wrist rotation center to part center of mass

Results

Total Payload Mass

2.50 kg

Total Inertia

1.820 kg·m²

Robot Max Inertia

2.500 kg·m²

Utilization

72.8%

Safety Margin

0.680 kg·m²

✓ Good - Robot is suitable for this application

Calculation Details

EOAT Moment of Inertia

For a uniform rod/arm (EOAT) rotating about its pivot:

I_eoat = (1/3) × m_eoat × L²
Result: 0.015 kg·m²

Workpiece Moment of Inertia

For a point mass (workpiece) at distance d from pivot:

I_part = m_part × d²
Result: 1.805 kg·m²

Total Moment of Inertia

Combined inertia of EOAT and workpiece:

I_total = I_eoat + I_part
Result: 1.820 kg·m²

Best Practices

Safety Margin

Maintain at least 20% safety margin below robot's maximum inertia rating

Measurement Accuracy

Measure EOAT mass and dimensions carefully for accurate calculations

Center of Mass

Use the actual center of mass of the workpiece, not the geometric center

Test Before Production

Always test with actual loads before deploying to production

Dynamic Effects

Account for acceleration and deceleration forces in fast movements

Thermal Considerations

High utilization increases motor temperature - ensure adequate cooling

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