Question
What is the approximate distance a counterweight will lift for a single rotation of a 6m diameter mine winch drum?
Answers
GPT-4o mini
To determine the approximate distance a counterweight will lift for a single rotation of a 6-meter diameter mine winch drum, we first need to calculate the circumference of the drum, as the counterweight will lift a distance equal to the circumference for one full rotation.
The formula to calculate the circumference (C) of a circle is:
\[
C = \pi \times d
\]
where \(d\) is the diameter of the circle.
Given the diameter of the mine winch drum is 6 meters:
\[
C = \pi \times 6 \approx 3.14159 \times 6 \approx 18.85 \text{ meters}
\]
So, for a single rotation of the 6-meter diameter mine winch drum, the counterweight will lift approximately 18.85 meters.
The formula to calculate the circumference (C) of a circle is:
\[
C = \pi \times d
\]
where \(d\) is the diameter of the circle.
Given the diameter of the mine winch drum is 6 meters:
\[
C = \pi \times 6 \approx 3.14159 \times 6 \approx 18.85 \text{ meters}
\]
So, for a single rotation of the 6-meter diameter mine winch drum, the counterweight will lift approximately 18.85 meters.