Euler force

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In classical mechanics, the Euler force is the fictitious tangential force 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 acceleration (named for Leonhard Euler), also known as azimuthal acceleration or transverse acceleration, is that part of the absolute acceleration that is caused by the variation in the angular velocity of the reference frame.

In classical mechanics, the Euler force is the fictitious tangential force 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 acceleration (named for Leonhard Euler), also known as azimuthal acceleration or transverse acceleration, is that part of the absolute acceleration that is caused by the variation in the angular velocity of the reference frame. \mathbf{a}_\mathrm{Euler} = - \frac{d\boldsymbol\omega}{dt} \times \mathbf{r}, where ω is the angular velocity of rotation of the reference frame and r is the vector position of the point in the reference frame. The Euler force on an object of mass m in the rotating reference frame is then \mathbf{F}_\mathrm{Euler} = m \mathbf{a}_\mathrm{Euler} = - m \frac{d\boldsymbol\omega}{dt} \times \mathbf{r}. ==See also== Coriolis effect Centrifugal force Rotating reference frame Angular acceleration ==Notes and references==

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