Centrifugal Force of a Rotating Mass
Centrifugal Force of a Rotating Mass
A rotating mass exerts an outward centrifugal force that grows with the square of speed — central to balancing and centrifuge design.
The centrifugal force is F = m·ω²·r. where m is the mass, ω the angular speed and r the radius.
Inputs
m := 2 kg=2 kg
omega := 150 rad/s=150 Hz
r := 0.2 m=200 mm
Apply the rotating centrifugal-force formula.
F := m·omega^2·r=9000 N
Results
Even small unbalance masses create large forces at speed, which is why rotating machinery must be carefully balanced.
Assumptions & limitations
- Mass at a fixed radius.
- Constant angular speed.
- Rigid rotor.