Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
8
Rotational Motion
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8-1: Angular Quantities
8-2 and 8-3: Constant Angular Acceleration; Rolling
8-4: Torque
8-5 and 8-6: Rotational Dynamics
8-7: Rotational Kinetic Energy
8-8: Angular Momentum
8-9: Angular Quantities as Vectors

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 50
Q

A centrifuge rotor has a moment of inertia of 3.25×102 kgm23.25 \times 10^{-2} \textrm{ kg}\cdot\textrm{m}^2. How much energy is required to bring it from rest to 8750 rpm?

A
1.36×104 J1.36 \times 10^4 \textrm{ J}
Giancoli 7th Edition, Chapter 8, Problem 50 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. The amount of energy to bring this centrifuge from rest to 8750 rpm is gonna be the change in kinetic energy— KE f minus KE i— but there's no kinetic energy initial so we just have the kinetic energy final is gonna answer our question. So we have one-half times moment of inertia which we are given— 3.25 times 10 to the minus 2 kilogram meter squared— and then we take this final angular speed and convert the rpm's into radians per second and then square that result and we get 1.36 times 10 to the 4 joules.

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