Rack & Pinion Servo Actuator

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 students1. Gear SpecificationsA. The Pinion (Motor Gear)Standard: Spur GearPressure Angle: 20°Module: 1.5MTeeth: 14TPitch Diameter: 21 mmB. The Rack (Linear Rail)Pressure Angle: 20°Module: 1.5MPitch Line: 15 mmTotal Length: 61.2 mm 2. Theoretical CalculationsA. Mounting Center DistanceThis is the vertical distance from the Servo Center to the Rack for perfect gear meshing.D= Rack Pitch Line+ Pitch Radius = 25.5 mmThe 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 DiameterC. 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. Hardwar