Balanced Force Calculator

Formula

The formula to calculate the Balanced Force is:

\[ BF = EF \times \frac{D1}{D2} \]

Where:

\(BF\) is the Balanced Force in Newtons (N)
\(EF\) is the Effort Force in Newtons (N)
\(D1\) is the Distance from Effort Force to Pivot Point in meters (m)
\(D2\) is the Distance from Pivot Point to Balanced Force in meters (m)

What is a Balanced Force?

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. This concept is crucial in understanding mechanical equilibrium and is often used in physics and engineering to analyze the forces acting on a lever or beam system.

Example Calculation

Let's assume the following values:

Effort Force (EF) = 50 N
Distance from Effort Force to Pivot Point (D1) = 2 m
Distance from Pivot Point to Balanced Force (D2) = 3 m

Using the formula:

\[ BF = 50 \times \frac{2}{3} \approx 33.33 \text{ N} \]

The Balanced Force is approximately 33.33 N.