Ideal power-screw relationship
Lead-screw force & travel
Inputs
Constant axial load at the nut in the stated direction.
Linear nut travel per screw revolution.
User-entered combined screw/nut efficiency from 0 to 100.
Constant screw rotational speed.
Results
Ideal raising torque
7.7637
Linear travel speedv
100
Mechanical output powerP
0.4
T = F·l/(2πη); v = l·n/60; P = Fv
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: Trapezoidal motion · Reflected inertia · Pneumatic cylinder force · Clamp-force transfer
Method
Formula, when it applies, and when it does not
Resolve ideal raising torque, linear travel rate, and mechanical power from a screw lead, axial force, efficiency, and rotational speed.
T = F·l/(2πη); v = l·n/60; P = Fv
When
- Constant axial force
- User-entered efficiency
- No acceleration torque
- No buckling or critical-speed check
Don’t
- This is an ideal constant-load power-screw relationship using a user-entered efficiency. It excludes thread geometry verification, friction variation, back-driving, buckling, critical speed, bearings, misalignment, acceleration torque, duty cycle, lubrication, wear, and component selection.