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Human Force Power

Reference data and engineering information about human force power for mechanics applications.

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Overview

Engineering reference data for Human Force Power in mechanics.

Key Formulas

Newton's Second Law

F=maF = ma

Force = mass × acceleration.

Work

W=FdcosθW = Fd\cos\theta

Work = force × displacement × cos(angle).

Kinetic Energy

Ek=12mv2E_k = \frac{1}{2}mv^2

Energy of motion.

Potential Energy

Ep=mghE_p = mgh

Gravitational potential energy.

Variables

Symbol Description Unit
FF Force N
mm Mass kg
aa Acceleration m/s²
vv 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:

P=Frπnrpm30P = \frac{F \cdot r \cdot \pi \cdot n_{rpm}}{30}

Where:

  • PP = Power output (WW)
  • FF = Applied force (NN)
  • rr = Radius of wheel or crank arm (mm)
  • π\pi = Pi (≈ 3.14159)
  • nrpmn_{rpm} = Rotational speed (rpmrpm)

Example Calculation: Using the ideal conditions for a standing person operating a crank (F=130NF = 130 \, N, r=0.4mr = 0.4 \, m, nrpm=25rpmn_{rpm} = 25 \, rpm):

P=1300.4π2530136WP = \frac{130 \cdot 0.4 \cdot \pi \cdot 25}{30} \approx 136 \, W

References