Moments of inertia of disks and spheres without integration

Seok Cheol Hong, Seok In Hong

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Calculation of moments of inertia is often challenging for introductory-level physics students due to the use of integration, especially in non-Cartesian coordinates. Methods that do not employ calculus have been described for finding the rotational inertia of thin rods and other simple bodies. 1-3 In this paper we use the parallel axis theorem and the perpendicular axis theorem (both of which may be proved without calculus 4), along with rotational symmetry, to determine, without using integration, the moments of inertia of uniform disks and spheres.

Original languageEnglish
Pages (from-to)139-140
Number of pages2
JournalPhysics Teacher
Volume51
Issue number3
DOIs
Publication statusPublished - 2013 Mar 1

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calculus
moments of inertia
theorems
inertia
students
physics
rods
symmetry
student

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Education

Cite this

Moments of inertia of disks and spheres without integration. / Hong, Seok Cheol; Hong, Seok In.

In: Physics Teacher, Vol. 51, No. 3, 01.03.2013, p. 139-140.

Research output: Contribution to journalArticle

Hong, Seok Cheol ; Hong, Seok In. / Moments of inertia of disks and spheres without integration. In: Physics Teacher. 2013 ; Vol. 51, No. 3. pp. 139-140.
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