Coriolis acceleration


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Coriolis acceleration

[kȯr·ē′ō·ləs ik‚sel·ə′rā·shən]
(mechanics)
An acceleration which, when added to the acceleration of an object relative to a rotating coordinate system and to its centripetal acceleration, gives the acceleration of the object relative to a fixed coordinate system.
A vector which is equal in magnitude and opposite in direction to that of the first definition.

Coriolis Acceleration

 

[named after the French scientist G. Coriolis], a rotational acceleration, a part of the total acceleration of a point that appears in the so-called composite motion, when the transferred motion, that is, the motion of a moving frame of reference, is not translational. Coriolis acceleration

Figure 1

appears as a consequence of a change in the relative velocity of a point νrel in the transferred motion (motion of the moving frame of reference) and of the transferred velocity in the relative motion. Numerically, the Coriolis acceleration is

wCor = 2ωtransνrelsin α

where ωtrans is the angular velocity of rotation of the moving frame of reference about some axis AB and a is the angle between νrel and the axis AB. As a vector, the Coriolis acceleration is given by

The direction of the Coriolis acceleration can be obtained by projecting the vector νrel on a plane perpendicular to the AB axis and rotating this projection by 90° in the direction of the transferred motion (see Figure 1, in which the velocity of the point M along the meridian AMB of a sphere is νrel, while the rotational velocity of the sphere about the AB axis is ω).

It should be emphasized that the Coriolis acceleration is the part of the acceleration of the point relative to the fixed frame of reference and not to the moving frame of reference. For example, for motion along the surface of the earth, owing to the earth’s rotation a point will have a Coriolis acceleration with respect to the stars, not to the earth. The Coriolis acceleration is equal to zero when the motion of the moving frame of reference is purely translational (oωtrans = 0) or when α = 0.

The concept of Coriolis acceleration is used in solving various problems in kinematics and dynamics (see).

S. M. TARG

Coriolis acceleration

Coriolis acceleration
Airflow moving from high pressure to low pressure in the Northern Hemisphere is deflected to the right due to Coriolis or earth's rotation
An acceleration of a moving object, such as an airplane, to the right or left caused by Coriolis force. Coriolis force is apparent force experienced by a body moving relative to the rotating earth. The wind blowing from the poles toward the equator turns to the right in the Northern Hemisphere and to the left in the Southern Hemisphere because of this Coriolis force, or Coriolis effect. Coriolis acceleration is experienced in all motion parallel to local surfaces, except that on the equator.
References in periodicals archive ?
The basic features in the simulation results were as in the conical basin, with the anticyclonic and cyclonic gyres resulting from the balance between the pressure gradient and the Coriolis acceleration.
This pattern is forced by the density gradient induced by sediment heat release and influenced by the Earth's rotation or the Coriolis acceleration.
A likely explanation of the goodness of the Princeton Ocean Model in the present application is that the circulation is governed by the pressure gradient and the Coriolis acceleration for which the model provides a very good representation although the [sigma]-coordinates may cause a small erroneous component on geostrophic flows due to numerical truncation error in the calculation of the pressure gradient (Mellor et al.