Tool

Inertia Matching Calculator

Estimate reduction-ratio direction from inertia and torque inputs before finalizing a planetary gearhead RFQ.

This tool supports buyer-side pre-checks for servo integration. For final model freeze, pair this output with full-axis dynamics, mounting constraints, and sample validation criteria.

Reference Gearheads for Inertia Matching

Use these model references while checking reflected inertia and ratio direction before opening supplier discussions.

High-inertia CNC axis servo gearhead matching model
High-inertia CNC axis servo gearhead matching model
Helical planetary gearhead for optimized reflected inertia ratio
Helical planetary gearhead for optimized reflected inertia ratio
Two-stage high reduction ratio gearhead for steep inertia matching (50:1 to 100:1)
Two-stage high reduction ratio gearhead for steep inertia matching (50:1 to 100:1)
High torsional stiffness flange gearhead for dynamic stability
High torsional stiffness flange gearhead for dynamic stability

Input Parameters

Enter motor inertia, load inertia, and torque targets to estimate a practical reduction-ratio range for servo stability and torque margin.

Practical rule: keep reflected inertia ratio around 5:1 or lower for easier servo tuning. Use this as a pre-RFQ estimate, then validate with full motion profile and mechanism dynamics.

Required Min Ratio

7.44 : 1

Max of inertia and torque constraints.

Inertia-Limited Ratio

2.31 : 1

Based on target inertia ratio 5.

Torque-Limited Ratio

7.44 : 1

Load peak torque vs motor rated torque and efficiency.

Suggested Standard Start

10 : 1

First viable standard ratio from this estimate.

Recommended Standard Ratios

10:115:120:125:130:140:1

Motor inertia: 4.500e-5 kg·m² · Load inertia: 1.200e-3 kg·m²

Candidate Evaluation Table

RatioReflected Inertia (kg·m²)Inertia RatioAvailable Output Torque (N·m)Torque MarginStatus
5:14.800e-51.075.710.67xExcellent
Inertia ✓ / Torque ✕
7:12.449e-50.548.000.94xExcellent
Inertia ✓ / Torque ✕
10:11.200e-50.2711.431.34xExcellent
Inertia ✓ / Torque ✓
15:15.333e-60.1217.142.02xExcellent
Inertia ✓ / Torque ✓
20:13.000e-60.0722.862.69xExcellent
Inertia ✓ / Torque ✓
25:11.920e-60.0428.573.36xExcellent
Inertia ✓ / Torque ✓
30:11.333e-60.0334.294.03xExcellent
Inertia ✓ / Torque ✓
40:17.500e-70.0245.725.38xExcellent
Inertia ✓ / Torque ✓

Need an Engineering Cross-Check?

Send your duty cycle, load profile, and motor details. We can return a ratio recommendation and integration notes for your RFQ.

Inquiry Email

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Guides to Interpret Calculator Output

Use these articles to move from ratio estimate to project-ready architecture and supplier decisions.

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