Rack & Pinion Servo Actuator
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This mechanism converts the rotational motion of a servo motor into linear motion using a rack and pinion gear system.
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- Printables
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- Mechanical Parts
- Licencja
- Creative Commons — Attribution — Noncommercial — NoDerivatives
This mechanism converts the rotational motion of a servo motor into linear motion using a rack and pinion gear system. Designed for hobby robotics, makers, and students
1. Gear Specifications
A. The Pinion (Motor Gear)
Standard: Spur Gear
Pressure Angle: 20°
Module: 1.5M
Teeth: 14T
Pitch Diameter: 21 mm
B. The Rack (Linear Rail)
Pressure Angle: 20°
Module: 1.5M
Pitch Line: 15 mm
Total Length: 61.2 mm
2. Theoretical Calculations
A. Mounting Center Distance
This is the vertical distance from the Servo Center to the Rack for perfect gear meshing.
D= Rack Pitch Line+ Pitch Radius = 25.5 mm
The Pitch Circle of the pinion is tangent to the Pitch Line of the rack.
B. Linear Displacement & Resolution
The General Formula: To calculate the travel distance for any angle:
D= (Angle/360)*pi*Pitch Diameter
C. Recommendation (Best Settings) For the best stability, do not rotate more than 125 degrees.
Why: This keeps the movement smooth and safe.
Result: At 125 degrees, the slider moves about 20.5 mm (Measured).
3. Hardware
7x Screws: M3 x 10mm
5x Screws: M3 x 8mm
3x Screws: M3 x 12mm
5x Heat Inserts: M3 (OD 4.2mm, Length 3-4mm).
10x Ball Bearings: 693ZZ (3x8x4 mm).
5x Washers: M3 Flat Washers