Counter Balance Weight Calculator

Formula

The formula to calculate the Counter Balance Weight is:

\[ CBW = \frac{Mo \cdot Do}{Db} \]

Where:

\(CBW\) is the Counter Balance Weight (kg)
\(Mo\) is the mass of the object (kg)
\(Do\) is the distance from object to the fulcrum (m)
\(Db\) is the distance from the counterbalance to the fulcrum (m)

What is a Counter Balance Weight?

A counterbalance weight is a weight that, when placed at a certain distance, equals the same torque as another object at a different distance from the fulcrum. It is used to balance the torque and maintain equilibrium.

Example Calculation 1

Let's assume the following values:

Mass of the Object (Mo) = 50 kg
Distance from Object to Fulcrum (Do) = 2 m
Distance from Counterbalance to Fulcrum (Db) = 1 m

Using the formula:

\[ CBW = \frac{50 \cdot 2}{1} = \frac{100}{1} = 100 \, \text{kg} \]

The Counter Balance Weight is 100 kg.

Example Calculation 2

Let's assume the following values:

Mass of the Object (Mo) = 30 kg
Distance from Object to Fulcrum (Do) = 3 m
Distance from Counterbalance to Fulcrum (Db) = 2 m

Using the formula:

\[ CBW = \frac{30 \cdot 3}{2} = \frac{90}{2} = 45 \, \text{kg} \]

The Counter Balance Weight is 45 kg.