Rack Pinion - Motion Calculators -

Rack & Pinion → Motor Requirements

Live calculator • aligned fields • lead submit

Inputs

Load

lbf

Move distance

Incline angle

deg

Friction coefficient (μ)

—

Mesh efficiency

Pinion input type

—

Pitch diameter

Optional: Pinion inertia

lbm·in²

Axis moving mass

lbm

Gearbox ratio (N:1)motor:pinion

Gearbox efficiency

Accel time

Traverse time

Decel time

Optional: Motor inertia (for ratio)

lbm·in²

Linear travel per revolution = π·D. Ratio N:1 → motor turns N rev per pinion rev.

Your name

Your email

Company

Notes / application

Outputs (auto-update)

Peak motor speed

—

Peak linear speed

—

in/s

Peak torque @ motor

—

Traverse torque @ motor

—

RMS torque (cycle)

—

Cycle time

—

Forces (G + Friction)

—

lbf

Accel force

—

lbf

Reflected load inertia (pinion)

—

lbm·in²

Pinion inertia

—

lbm·in² (opt.)

Inertia ratio (load : motor)

—

Enter motor inertia to compute

Duty cycle

—

Torque @ motor = (F · r) / (η_mesh · η_gearbox · N). Travel/rev = π·D with D the pitch diameter. Reflected inertia of translating mass: J = m·r² (then ÷N² to motor).