Question

If the mine winch drum diameter is 4,5 calculate how far the counterweight will lift for each single rotation of the drum use the formula c=2(pi)r

Answer 1

The counter weight lifted in each rotation of drum is 14.13m

The diameter of drum is: d = 4.5m

We know that in a winch there's cable that's connected from the weight to be lifted to the drum, around which it's rolled. So the distance the counterweight is lifted corresponds to the circumference of the drum. The expression to calculate the counter weight lifted in every single rotation of the drum is given by,

$h_{lift}$ = C = πd

Substituting the value of 'd' in the above expression

C = 22/7 x 4.5

C = 14.13m

Thus, the counter weight lifted in each rotation of drum is 14.13m

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