If mine which drum diameter is 6m calculate how far the cage will drop for each single rotation of the drum use the formula C=2ttr

You have the formula, so use it.

If you don't know why to use the formula, you just don't understand the problem.
One turn of the wheel uses up enough rope to wrap around the circumference of the drum.
The formula gives you that circumference.

But it’s not ‘tt’ — it’s π (pi)

What do you think a counterweight deas for a mine winding system? Hint :imagine winding the winch by hand

Ffhujto

To calculate the distance the cage will drop for each single rotation of the drum, we need to use the formula for the circumference (C) of a circle:

C = 2 * π * r

Here, "r" represents the radius of the drum. We are given the diameter (d) of the drum, which is 6 meters. The radius (r) is half the diameter, so we can calculate it as:

r = d/2 = 6m / 2 = 3m

Now that we have the radius, we can substitute it into the formula:

C = 2 * π * r = 2 * π * 3m

Using the value of π (pi) as approximately 3.14159, we can perform the calculation:

C = 2 * 3.14159 * 3m = 18.84956m

Therefore, the cage will drop approximately 18.84956 meters for each single rotation of the drum.