Free Online Model Train Calculator (No Signup) – FreeWWW

🚂 Model Train Calculator

Free tools for model railroad enthusiasts. Convert scales, calculate speeds, plan grades, design helixes, and estimate power requirements for HO, N, O, G, Z and all popular scales.

📐 Scale Converter

Convert between real-world measurements and model scale dimensions.

Enter the real-world measurement to convert

Result

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Inches
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Millimeters
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Feet
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Centimeters
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Quick Reference

Common conversions: A 50-foot boxcar in HO scale is about 6.9 inches. A 6-foot person in N scale is about 0.45 inches tall.

Quick Convert Common Dimensions

⚡ Speed Calculator

Calculate scale speed equivalents for realistic train operation.

Enter the prototype (real-world) speed

Scale Speed

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in/sec
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cm/sec
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ft/min
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m/min
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Pro Tip

For realistic operation, freight trains typically run 30-50 mph, passenger trains 60-79 mph, and high-speed trains over 100 mph. Run your models slower than you think—they'll look more realistic!

Common Prototype Speeds Across Scales

Scale speed in inches/second

📈 Grade Calculator

Calculate track grades and inclines for your layout.

%

Grade Result

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Rise : Run
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Angle
Rise per Foot
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Rise per Meter
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0% (Flat) 2% (Gentle) 4% (Moderate) 6%+ (Steep)

Grade Recommendations

0-2%: Ideal for long trains, minimal locomotive strain. 2-3%: Good for most layouts, manageable train lengths. 3-4%: Moderate, may need helper locomotives for long trains. 4%+: Steep, limit to short trains or use multiple locomotives.

🔄 Curve Radius Calculator

Find recommended curve radii and convert between radius measurements.

90° = quarter circle, 180° = half circle

Curve Analysis

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Arc Length

Radius (in)
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Radius (mm)
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Diameter
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Prototype Radius
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Minimum Radius Recommendation

Select a scale to see minimum radius recommendations.

Minimum Radius by Scale

Scale Minimum (inches) Minimum (mm) Recommended for Long Cars

📏 Track Length Calculator

Calculate how much track you need for straight runs, curves, and more.

Curved Track Length

360° = full circle

Curved Track Needed

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Inches
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Feet
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Centimeters
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Meters
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Straight Track for Real Distance

Scale Track Length

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Inches
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Feet
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Centimeters
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Meters
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🌀 Helix Planner

Design a helix to change elevations between layout levels.

Recommended: 2-3% for reliable operation

Helix Design

- turns
Total Track Length
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Rise Per Turn
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Helix Diameter
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Vertical Clearance
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Important Considerations

Ensure adequate vertical clearance between turns (typically 3-4 inches for HO). Account for track thickness, roadbed, and tallest rolling stock. Consider access for derailments!

🚃 Power & Pulling Calculator

Estimate locomotive pulling capacity and train limits based on grade.

Heavier locomotives have more traction

Pulling Capacity

- cars

Maximum cars on this grade

Tractive Effort
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Total Train Weight
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On Flat Track
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Grade Factor
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Cars vs Grade

NMRA Weight Recommendations

For reliable operation, the NMRA recommends: HO Scale: 1 oz + 0.5 oz per inch of car length. N Scale: 0.5 oz + 0.15 oz per inch. Heavier cars track better but reduce train length on grades.

📊 Scale Reference Tables

Complete reference data for all popular model train scales.

Scale Ratio Gauge (mm) Gauge (in) Min Radius Standard Description

Common Dimensions by Scale

Real Size Z (1:220) N (1:160) HO (1:87) O (1:48) G (1:22.5)

Speed Conversion Chart

Prototype Speed Z (in/s) N (in/s) HO (in/s) O (in/s) G (in/s)

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