Answered: How much rotational kinetic energy in…

How much rotational kinetic energy in joules is there in a disk of radius 0.2 meters and mass 76 kg rotating at 1000 turns per second? Give your answer in joules.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 53P: The Sun’s mass is 2.01030kg , its radius is 7.0105km , and it has a rotational period of...

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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

How much rotational kinetic energy in joules is there in a disk of radius 0.2 meters and mass 76 kg rotating at 1000 turns per second? Give your answer in joules.

Expert Solution

Step 1

Given,

r = 0.2 m

m = 76 kg

turns = 1000/s

= $(1000 \times 360^{0}) \times \frac{π}{180} = 6285.713 r a d / s$

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