Aspace station shaped like a giant wheel has a radius of 117 m and a moment of inertia of 4.67 ✕ 108 kg · m2. a crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1g. when 100 people move to the center of the station for a union meeting, the angular speed changes. what apparent acceleration is experienced by the managers remaining at the rim? assume that the average mass of each inhabitant is 65.0 kg.

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)