Overview
Engineering reference data for Human Force Power in mechanics.
Key Formulas
Newton's Second Law
Force = mass × acceleration.
Work
Work = force × displacement × cos(angle).
Kinetic Energy
Energy of motion.
Potential Energy
Gravitational potential energy.
Variables
| Symbol | Description | Unit |
|---|---|---|
| Force | N | |
| Mass | kg | |
| Acceleration | m/s² | |
| Velocity | m/s |
Human Force and Power Limits
For human-operated machinery, force and power output must remain within specific physiological limits to ensure safety and operational effectiveness.
Maximum Force by Posture
| Posture | Action | Maximum Force |
|---|---|---|
| Sitting (with backrest) | Horizontal force on a pedal | 1000 N |
| Sitting | Vertical force on a pedal | 300 N |
| Standing | Vertical force on a pedal | 500 N |
| Standing | Repeated action on a vertical lever (pump) | 90 - 100 N |
| Standing | Operating a rotating wheel or crank arm | 130 N |
Operational Constraints:
- For a vertical lever (pump), the frequency should not exceed 20 beats per minute.
- For a rotating wheel or crank arm, the wheel speed should not exceed 25 - 30 rpm. The optimal arm length (or wheel radius) is approximately 0.4 m, and the center of the axle should be at a height of approximately 1.0 m.
Power Calculation for Rotating Mechanism
The power output produced by a human applying force to a rotating wheel or crankshaft is given by:
Where:
- = Power output ()
- = Applied force ()
- = Radius of wheel or crank arm ()
- = Pi (≈ 3.14159)
- = Rotational speed ()
Example Calculation: Using the ideal conditions for a standing person operating a crank (, , ):