If the mine winch drum diameter is known, the distance the cage (or counterweight) will move for each single rotation of the drum can be calculated using the circumference formula:

Distance moved=π×diameter\text{Distance moved}=\pi \times \text{diameter}Distance moved=π×diameter

For example, if the drum diameter is 6 meters, then:

Distance moved=π×6 m≈3.14×6=18.84 m\text{Distance moved}=\pi \times 6,m\approx 3.14\times 6=18.84,mDistance moved=π×6m≈3.14×6=18.84m

So, the cage will drop (or the counterweight will lift) approximately 18.84 meters for each full rotation of the drum

. This formula applies generally to mine winch drums and is useful for determining the vertical travel distance per drum revolution based on the drum size.