Lead Screw Torque Formula:
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Definition: This calculator estimates the torque required for a lead screw based on axial force, screw pitch, and mechanical efficiency.
Purpose: It helps engineers and designers determine the appropriate motor torque needed for lead screw applications in linear motion systems.
The calculator uses the formula:
Where:
Explanation: The axial force multiplied by pitch gives the work per revolution, which is then divided by 2π and efficiency to account for energy losses.
Details: Proper torque estimation ensures proper motor sizing, prevents system failures, and optimizes energy efficiency in linear motion systems.
Tips: Enter the axial force in Newtons, lead screw pitch in meters (default 0.005m or 5mm), and efficiency (default 0.9 or 90%). All values must be > 0.
Q1: What is a typical lead screw efficiency?
A: Ball screws typically have 90% efficiency (η=0.9), while ACME screws might be 30-70% efficient depending on materials and lubrication.
Q2: How do I convert pitch from mm to m?
A: Divide mm by 1000 (e.g., 5mm = 0.005m). The calculator expects pitch in meters.
Q3: What affects lead screw efficiency?
A: Screw type (ball vs ACME), materials, lubrication, wear, and load all affect efficiency.
Q4: How do I find the axial force?
A: Calculate from the mass being moved (F = m × a) plus any friction forces.
Q5: Does this include safety factors?
A: No, consider multiplying the result by 1.5-2x for safety margin in real applications.