Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31100
Acceleration Analysis of a Rotating Body

Authors: R. Usubamatov


The velocity of a moving point in a general path is the vector quantity, which has both magnitude and direction. The magnitude or the direction of the velocity vector can change over time as a result of acceleration that the time rate of velocity changes. Acceleration analysis is important because inertial forces and inertial torques are proportional to rectilinear and angular accelerations accordingly. The loads must be determined in advance to ensure that a machine is adequately designed to handle these dynamic loads. For planar motion, the vector direction of acceleration is commonly separated into two elements: tangential and centripetal or radial components of a point on a rotating body. All textbooks in physics, kinematics and dynamics of machinery consider the magnitude of a radial acceleration at condition when a point rotates with a constant angular velocity and it means without acceleration. The magnitude of the tangential acceleration considered on a basis of acceleration for a rotating point. Such condition of presentation of magnitudes for two components of acceleration logically and mathematically is not correct and may cause further confusion in calculation. This paper presents new analytical expressions of the radial and absolute accelerations of a rotating point with acceleration and covers the gap in theoretical study of acceleration analysis.

Keywords: acceleration analysis, kinematics of mechanisms

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2445


[1] Hugh D. Young and Roger A. Freedman, Sears and Zemanski-s University Physics: with modern Physics, 11th.ed. 2004, Pearson Education Inc. published as Addison Wesley.
[2] Randall D. Knight, "Physics for Scientists and Engineers", 2005, Pearson/Addison Wesley,
[3] Paul E. Tippens, Physics, 6th ed., 2001, Gloencoe/McGraw-Hill.
[4] Edvin R. Jones and Richard L. Childers, Contemporary College Physics, 3 ed., 2001, McGraw-Hill.
[5] John R. Taylor, Classical Mechanics, 2005, University Science Books.
[6] Tail L. Chow, Classical Mechanics, 1995, John Willey & Sons, Inc.
[7] Charles E. Wilson, and J. Peter Sadler, "Kinematics and Dynamics of Machinery", 3rd ed. Prentice Hall, 2003
[8] K.J. Waldron and G.L. Kinzel, "Kinematics, Dynamics and Design of Machinery", John Wiley & Sons, 2nd ed., 2004
[9] Glyn Games, "Modern Engineering Mathematics", Prentice Hall, 2001.