Sagot:
Approximately 18.85 m is the depth that the cage descends for each complete turn of the drum.
Paliwanag:
The winch drum of the mine features a rotating drum to which the haulage rope is attached.
Given that the winch drum has a diameter of 6 m,
the length of rope unspooled for each drum rotation equals how far the cage will fall on each cycle of the drum.
The length of rope unwound in one rotation corresponds to the circumference of the winch drum, transformed once.
Thus, the rope that makes one complete pass around the winch drum is equal to the drum's circumference;
therefore, the unwound rope length per rotation can be expressed as the circumference, calculated as π multiplied by the drum's diameter.
Consequently, unwound rope length per rotation = π × 6 m = 6·π m.
This length determines how far the cage falls for every complete rotation of the drum, equating to 6·π m.
Ultimately, the cage will drop 6·π m ≈ 18.85 m for each full rotation of the drum.
The depth of the cage's drop for each rotation of the drum is around 18.85 m.