Model Train Calculator - Free Scale Converter, Speed, Grade & Layout Tools

πŸš‚ Model Train Calculator

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

πŸ“ 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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πŸ’‘

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 thinkβ€”they'll look more realistic!

Common Prototype Speeds Across Scales

Scale speed in inches/second

πŸ“ˆ Grade Calculator

Calculate track grades and inclines for your layout.

%

Grade Result

-%
Rise : Run
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Angle
-Β°
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.

πŸ”„ Curve Radius Calculator

Find recommended curve radii and convert between radius measurements.

90Β° = quarter circle, 180Β° = 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

πŸ“ Track Length Calculator

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

Curved Track Length

360Β° = 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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πŸŒ€ 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!

πŸšƒ 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.

πŸ“Š 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)

πŸ—ΊοΈ Track Layout Planner

Sketch your track layout ideas and calculate total track length.

Straight Sections
0
Curve Sections
0
Turnouts
0
Crossovers
0
Est. Track Length
0"
πŸ–±οΈ

How to Use

Click on the canvas to place track sections. Each grid square represents one section. Select the track type from the toolbar, then click to place. Use the Eraser to remove pieces. Your layout is automatically saved.