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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.