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A space station shaped like a giant wheel has a radius of 119 m and a moment of inertia of 4.96 x 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.
Your response differs from the correct answer by more than 10%. Double check your calculations. m/s²
12
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A student sits on a rotating stool holding two 3.9-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the
student plus stool is 3.0 kg m2 and is assumed to be constant. The student then pulls in the objects horizontally to 0.41 m from the rotation axis.
(a) Find the new angular speed of the student.
rad/s
(b) Find the kinetic energy of the student before and after the objects are pulled in.
before
after
J
Transcribed Image Text:A space station shaped like a giant wheel has a radius of 119 m and a moment of inertia of 4.96 x 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. Your response differs from the correct answer by more than 10%. Double check your calculations. m/s² 12 Need Help? Submit Answer Read It ASK YOUR TEACHER PRACTICE ANOTHER A student sits on a rotating stool holding two 3.9-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg m2 and is assumed to be constant. The student then pulls in the objects horizontally to 0.41 m from the rotation axis. (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the student before and after the objects are pulled in. before after J
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