Pivot Force Calculator
Calculate the force required at pivot points in lever systems
How Pivot Force is Calculated
Pivot Force = (Force × Distance from Force) / Distance from Pivot
The pivot force calculator uses the principle of torque equilibrium. When a force is applied to a lever at some distance from the pivot point, it creates a torque. The system reaches equilibrium when the torque created by the applied force is balanced by the torque created by the pivot force.
Frequently Asked Questions
A pivot force is the reaction force exerted by the pivot point (fulcrum) in a lever system to maintain equilibrium. It balances the torques created by other forces acting on the lever.
The angle affects the effective component of the force that creates torque. Only the perpendicular component (F × sinθ) contributes to the torque. At 90 degrees, the full force contributes to torque.
Mechanical advantage is the ratio of the output force (at the load) to the input force. It’s determined by the ratio of the distances from the pivot to the force and to the load.
Yes, this calculator works for all three classes of levers. The relative positions of the force, pivot, and load determine the lever class, but the torque equilibrium principle remains the same.