Consider a wheel of radius r = 0.27 m, with six spokes (or three rods of length equal to the diameter of the wheel). The total mass of the wheel is 2.5 kg and 53% of the mass is evenly distributed on the circumference while the rest is evenly distributed on the spokes. Calculate the moment of inertia.

Consider a wheel of radius r = 0.27 m, with six spokes (or three rods of length equal to the diameter of the wheel). The total mass of the wheel is 2.5 kg and 53% of the mass is evenly distributed on the circumference while the rest is evenly distributed on the spokes. Calculate the moment of inertia.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

Consider a wheel of radius r = 0.27 m, with six spokes (or three rods of length equal to the diameter
of the wheel). The total mass of the wheel is 2.5 kg and 53% of the mass is evenly distributed on the
circumference while the rest is evenly distributed on the spokes. Calculate the moment of inertia.

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