一、Torque-to-Thrust Conversion Formula

The core formula for converting torque into thrust is based on the principle of screw transmission. The most commonly used form states that thrust equals torque multiplied by 2π, divided by the lead, with transmission efficiency taken into account.

二、How the Formula Is Written

1. Standard Expression

2. Variable Definitions

F is the axial thrust (unit: N)

T is the input torque (unit: N·m)

η is the transmission efficiency

L is the screw lead (unit: m)

3. Alternative Form

The physical meaning is the same: the work done by the torque is equal to the work done by the thrust.

三、What Each Parameter Represents

Torque T

The rotational torque output by the motor or drive source. A larger value indicates greater potential thrust.

Lead L

The linear distance the nut advances for one full revolution of the screw. A smaller lead provides a higher thrust multiplication factor.

Efficiency η

Represents mechanical losses. For ball screws, the efficiency is typically between 0.85 and 0.95; trapezoidal lead screws generally have lower efficiency.