Euler force

In classical mechanics, the Euler force ( named after Leonard Euler ) the force acting on a body Scheinkraft that occurs in a rotating frame of reference, if the rotation axis or the rotational speed change with time. It is given by the product of the mass of the body with the Euler acceleration.

These Euler acceleration (also Azimutalbeschleunigung or transversal acceleration ) is the component of acceleration comes through non-uniformity of rotation of the reference system about.

The name was introduced in 1949 by Cornelius Lanczos in his book, The Variational Principles of Mechanics, where he simultaneously pointed out that at this time no common name for this inertial force existed.

Example

A person who sits in a children's carousel on a horse feels when starting the Euler force. It is the inertial force when starting from a horse pulling back on the person or suppressed when stopping the horse forward. The direction of the force is perpendicular to the centrifugal force Euler and in the plane of rotation.

Euler acceleration

The direction and the magnitude of the acceleration is by Euler

Given.

With:

Euler force

With the above acceleration, the Euler force is to

With:

Swell

• Classical Mechanics