Explanation Given information: Diameter of the solid disk is 0.25 m. Mass is m = 10 kg . Energy is E = 1 kJ . Calculation: The value of inertial constant k is 1 2 for solid disk. Diameter of the solid disk is 0.25 m, so the radius value is r = 0.125 m . The moment of inertia ( I ) is expressed in terms of the inertial constant k , mass m , and radius r as, I = k m r 2 = 1 2 m r 2 The rotational energy ( E ) is expressed in terms of moment of inertia ( I ) and angular speed ( ω ) as follows: E = 1 2 I ω 2 = 1 2 ( 1 2 m r 2 ) ω 2 = 1 4 m r 2 ω 2 ω = 4 E m r 2 Find the rotational speed in rpm using the relation: f = <

MindTap Engineering, 1 term (6 months) Printed Access Card for Dunlap's Sustainable Energy, SI Edition, 2nd

2nd Edition

ISBN: 9781337551779

Author: DUNLAP, Richard A.

Publisher: Cengage Learning

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Concept explainers

Friction

Friction is defined as the force that prevents any solid surface, any layer of fluid, or any kind of element or material from sliding.

Question

Chapter 1, Problem 15P

To determine

Find the rotational speed of the solid disk in rpm.

Expert Solution & Answer

Chapter 1 Solutions

MindTap Engineering, 1 term (6 months) Printed Access Card for Dunlap's Sustainable Energy, SI Edition, 2nd

Ch. 1 - Prob. 1P Ch. 1 - A simple way of looking at the energy associated...Ch. 1 - Prob. 3P Ch. 1 - One gram of methane is burned, and the heat is...Ch. 1 - Prob. 5P Ch. 1 - Prob. 6P Ch. 1 - Prob. 7P Ch. 1 - Prob. 8P Ch. 1 - Prob. 9P Ch. 1 - The temperature of 1 m3 of water is decreased by...

Ch. 1 - Prob. 11P Ch. 1 - Prob. 12P Ch. 1 - Prob. 13P Ch. 1 - Prob. 14P Ch. 1 - Prob. 15P Ch. 1 - Prob. 16P Ch. 1 - Prob. 17P Ch. 1 - Prob. 18P Ch. 1 - Prob. 19P Ch. 1 - Prob. 20P

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Find the rotational speed of the solid disk in rpm.

Solution Summary: The author calculates the rotational speed of the solid disk using the relation: underset_1,529rpm.

Concept explainers

Find the rotational speed of the solid disk in rpm.

Chapter 1 Solutions