Loads and effort force with lifting wheels.
The effort force for a lifting wheel can be calculated as
F = W d / D (1)
F = effort force (N)
W = Fg
= m ag
= gravity force - weight of body (N, lb)
d = wheel inner diameter (m, ft)
D = wheel outer diameter (m, ft)
m = mass of lifted body (kg, slugs)
ag = acceleration of gravity (9.81 m/s2, 32.17405 ft/s2)
Example - Effort Force with a Lifting Wheel
A body with mass 100 kg is lifted with a lifting wheel with inner diameter 0.1 m and outer diameter 0.3 m. The effort force can be calculated as
F = (100 kg) (9.81 m/s2) (0.1 m) / (0.3 m)
= 327 N
= 0.33 kN
Lifting Wheel Calculator
This calculator can be used to calculate the effort force for a lifting wheel.
David Vinter [CC-BY-SA-2.0], via Wikimedia Commons
Note that kg is the unit of mass in the SI system - more about mass and weight.