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Lead Screw & Ballscrew Motor Torque, Thrust & Efficiency Calculator

Easily calculate and compute lead screw & ballscrew motor torque, thrust & efficiency calculator with accurate equations, live formulas, and expert guidance.

Total external axial push/pull force on carriage.

Linear advance per one revolution.

Mean thread or ball track diameter.

1 for rolling ballscrew (~90% eff), 2 for sliding acme (~35-50% eff).

Rolling friction (~0.005 ballscrew) or sliding friction (~0.12-0.20 brass/steel acme).

Calculated Result
1.84 N·m

Motor Torque

Motor Torque

1.84 N·m

Required Motor Drive Torque Nm

1.84

Screw Mechanical Efficiency Pct

95

Lead Helix Angle Deg

5.68

Backdrive Holding Torque Nm

1.66

1.84 — N·m

Calculation Breakdown

  1. Applied FormulaCalculates the driving motor torque, mechanical transmission efficiency, lead helix angle, and self-locking / backdrive condition for industrial ballscrews and acme lead screws.T = \frac{F_a \cdot l}{2\pi \eta}, \quad \eta = \frac{\tan\lambda}{\tan(\lambda + \rho')}

Lead Screw Torque & Thrust Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.50.91.41.8Motor Torque

What Is the Lead Screw & Ballscrew Motor Torque, Thrust & Efficiency Calculator?

This tool computes lead screw & ballscrew motor torque, thrust & efficiency calculator with high precision arithmetic.

How Does the Lead Screw & Ballscrew Motor Torque, Thrust & Efficiency Calculator Work?

Calculates the driving motor torque, mechanical transmission efficiency, lead helix angle, and self-locking / backdrive condition for industrial ballscrews and acme lead screws.

Lead Screw & Ballscrew Motor Torque, Thrust & Efficiency Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

T=Fa⋅l2πη,η=tan⁡λtan⁡(λ+ρ′)T = \frac{F_a \cdot l}{2\pi \eta}, \quad \eta = \frac{\tan\lambda}{\tan(\lambda + \rho')}

Calculates the driving motor torque, mechanical transmission efficiency, lead helix angle, and self-locking / backdrive condition for industrial ballscrews and acme lead screws.

How to Use the Lead Screw & Ballscrew Motor Torque, Thrust & Efficiency Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Lead Screw & Ballscrew Motor Torque, Thrust & Efficiency Calculator Example

Input Values:

axialLoadThrustNewtons:2200
leadPitchMm:5
nominalScrewDiameterMm:16
screwDriveType:1
frictionCoefficientMu:0.005
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required N·m.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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