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.

Inertia matching example with compact planetary gearhead
Inertia matching example with compact planetary gearhead
Servo inertia matching reference model
Servo inertia matching reference model
High-load inertia estimation reference gearhead
High-load inertia estimation reference gearhead
Precision inertia-matching integration example
Precision inertia-matching integration example

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

[email protected]

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Instant Chat

+8618857971991

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Guides to Interpret Calculator Output

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

Continue Your Selection Workflow