Euler force
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In classical mechanics, the Euler acceleration (named for Leonhard Euler) is an acceleration that appears when a non-uniformly rotating reference frame is used for analysis of motion and there is variation in the angular velocity of the reference frame's axes.
The Euler force is a fictitious force on a body that is related to the Euler acceleration by f = m a, where a is the Euler acceleration and m is the mass of the body. [1]
[edit] Euler acceleration
Its direction and magnitude is given by:
where:
- ω is the angular velocity of the reference frame;
- r is the radial distance of the point where the acceleration is measured from the axis of the rotation.
[edit] Euler force
where:
- m is the mass of the object upon which this fictitious force is exerted.
[edit] Notes and references
- ^ Jerrold E. Marsden, Tudor S. Ratiu (1999). Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems. Springer, p. 251. ISBN 038798643X.
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