PROBLEM: Rotation versus Lift Distance A winch with a 6-inch radius is used to lift a container. The winch is designed so that, as it is rotated, the cable stays in contact with the surface of the winch. That is, the cable does not wrap on top of itself.
Find the distance the container is lifted as the winch is rotated through an angle of 5π/6 radians.
Determine the angle, in radians, through which the winch must be rotated to lift the container a distance of 2 feet.

Question

PROBLEM: Rotation versus Lift Distance A winch with a 6-inch radius is used to lift a container. The winch is designed so that, as it is rotated, the cable stays in contact with the surface of the winch. That is, the cable does not wrap on top of itself. 
	Find the distance the container is lifted as the winch is rotated through an angle of 5π/6 radians.
	Determine the angle, in radians, through which the winch must be rotated to lift the container a distance of 2 feet.