If the mine winch drum diameter is 6m, calculate how far the cage will drop for each single rotation of the drum,use the formula C=πr

To calculate how far the cage will drop for each single rotation of the mine winch drum, we need to use the formula for the circumference of a circle: C = πd or C = 2πr, where C is the circumference, d is the diameter, and r is the radius of the circle.

In this case, we have the diameter of the mine winch drum, which is given as 6 meters. To find the radius (r), we divide the diameter by 2: r = d/2 = 6/2 = 3 meters.

Now, we can substitute the value of the radius (r) into the formula:

C = πr = π * 3 = 3.14 * 3 ≈ 9.42 meters.

Therefore, for each single rotation of the drum, the cage will drop approximately 9.42 meters.