Measurement of Angular Acceleration of a Rigid Body Using Linear Accelerometers

[+] Author and Article Information
A. J. Padgaonkar, K. W. Krieger, A. I. King

Biomechanics Research Center, Wayne State University, Detroit, Mich.

J. Appl. Mech 42(3), 552-556 (Sep 01, 1975) (5 pages) doi:10.1115/1.3423640 History: Received March 01, 1975; Online July 12, 2010


The computation of angular acceleration of a rigid body from measured linear accelerations is a simple procedure, based on well-known kinematic principles. It can be shown that, in theory, a minimum of six linear accelerometers are required for a complete definition of the kinematics of a rigid body. However, recent attempts in impact biomechanics to determine general three-dimensional motion of body segments were unsuccessful when only six accelerometers were used. This paper demonstrates the cause for this inconsistency between theory and practice and specifies the conditions under which the method fails. In addition, an alternate method based on a special nine-accelerometer configuration is proposed. The stability and superiority of this approach are shown by the use of hypothetical as well as experimental data.

Copyright © 1975 by ASME
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