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=2πr

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To calculate how far the cage will drop for each single rotation of the drum, we can use the formula for the circumference of a circle, which is given by c = 2πr.

In this case, the mine winch drum diameter is 6m, so the radius (r) would be half of the diameter, which is 6m/2 = 3m.

Now, substitute the value of the radius into the formula:
c = 2π(3m)

Simplifying this equation, we can calculate the circumference (c):
c = 6πm

Therefore, for each single rotation of the drum, the cage will drop a distance equal to the circumference of the drum, which is 6πm.

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.

Formula C=2πr: