Steady lead-torque screen
Ball screw force / speed
Inputs
Steady axial force at the screw; preload, bearing, and seal torques are excluded.
Linear travel per revolution for the stated screw, not inferred from pitch or starts.
Steady screw speed used only for ideal linear-speed and mechanical-power arithmetic.
User-entered transmission efficiency; this workspace does not select or validate it.
Results
Ideal linear speed
0.2
Declared-efficiency drive torque
4.421
Mechanical drive powerP
0.55556
v = Pn/60000; T = FaP/(2πη); Pmech = Tω
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion
Method
Formula, when it applies, and when it does not
Calculate ideal linear speed, drive torque, and mechanical power from an axial force, lead, screw speed, and efficiency.
v = Pn/60000; T = FaP/(2πη); Pmech = Tω
When
- Constant lead
- User-entered efficiency
- No preload/friction adders
Don’t
- This is a steady lead-torque screen for a user-defined ball screw. It excludes preload, bearing and seal torque, drive inertia, acceleration/deceleration, critical speed, buckling, deflection, column load, screw/nut selection, life, lubrication, backlash, thermal effects, motor or gearbox selection, controls, safety, and system approval.