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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. Part a: Find the distance the container is lifted as the winch is rotated through an angle of 5∏/6 radians. Part b: Determine the angle, in radians, through which the winch must be rotated to lift the container a distance of 2 feet.
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