Given a mass of 380 grams, and a rotational speed 180 rpm, calculate the maximum rotational kinetic energy for the following three shapes: a disk, a sphere and a thin rod. Both, the disk and the sphere have a radius of 20 cm, and the length of the thin rod is 40 cm. If the same mass is shaped as a hoop with a radius of 20 cm, would be the rotational kinetic energy greater, or smaller than the kinetic energies calculated for the other 3 shapes? Check your prediction - calculate the rotational kinetic energy for that shape, and compare your results. Was your answer consistent with your expectations?

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Answered: Given a mass of 380 grams, and a…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 18P: Rigid rods of negligible mass lying along the y axis connect three particles (Fig. P10.18). The...

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Given a mass of 380 grams, and a rotational speed 180 rpm, calculate the maximum rotational kinetic energy for the following three shapes: a disk, a sphere and a thin rod. Both, the disk and the sphere have a radius of 20 cm, and the length of the thin rod is 40 cm.
If the same mass is shaped as a hoop with a radius of 20 cm, would be the rotational kinetic energy greater, or smaller than the kinetic energies calculated for the other 3 shapes? Check your prediction - calculate the rotational kinetic energy for that shape, and compare your results. Was your answer consistent with your expectations?

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