Northwestern College Chicago Elevator Problem

Question Description

An elevator car and cable can cover 33 stories (109 m) in a skyscraper. A winch on the 34th floorpulls the car up by rolling the cable around a winch and lowers the car to the ground by unrollingthe cable from the winch. The winch has a radius of 0.75 m, a maximum angular velocity of 5rad/s and angular acceleration of 5 rad/s2. Starting from the ground floor when someone enters the elevator, how long does it take to cover the full 33 stories. Consider thecable as an idealized cable with no mass or size of any consequence and ignore deceleration atthe 33rd floor.

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