In Example 7.2 on p. 560 we analyzed the forces acting on a test tube in an ultracentrifuge. Recalling that the center of mass G of the test tube was assumed to be at a distance r = 0.0918 m from the centrifuge’s spin axis, that the test tube had a mass m = 0.01 kg and a mass moment of inertia IG = 2.821 × 10−6 kg·m2, determine the kinetic energy of the test tube when it is spun at ω = 60,000 rpm. In addition, if you were to convert the computed kinetic energy to gravitational potential energy, at what height (expressed in meters) relative to the ground could you lift a 10 kg weight?
Figure P8.7
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