Find the balancing force with vector components or on a lever.

Balanced Force Calculator

Balanced Force Formula

The following equation is used to calculate the Balanced Force.

BF = EF * D1 / D2
  • Where BF is the balanced force (N)
  • EF is the force on one side of the pivot point of the beam (N)
  • D1 is the distance from force EF to the pivot point (m)
  • D2 is the distance from the pivot point to the balanced force (m)

To calculate balanced force, multiply the effort force by the distance from the force to the pivot, then divide by the distance between the pivot and the balance force.

What is a Balanced Force?

Definition:

A balanced force, commonly called a balancing force, is the total force needed to balance a beam about a pivot point with a given opposing force on one side of the pivot.

How to Calculate Balanced Force?

Example Problem:

The following example outlines the steps and information needed to calculate the balancing force.

First, determine the force on one side of the pivot point of the beam. In this example, that force is found to be 10 N.

Next, determine the distance from force EF to the pivot point. For this problem, the distance from force EF to the pivot point is found to be 30m.

Next, determine the distance from the pivot point to the balanced force. In this case, the distance from the pivot point to the balanced force is measured to be 20m

Finally, calculate the balanced force using the formula above:

BF = EF * D1 / D2

BF = 10 * 30 / 20

BF = 15N