Atmosphere, Clouds, and Climate by Randall David A

Author:Randall, David A.
Language: eng
Format: epub
Publisher: Princeton University Press

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Because in general the air is moving with respect to the Earth, r is changing with time as seen in the rotating frame. According to (A4.3), the velocity as seen in the rotating frame is different from the velocity as seen in the inertial frame.

A transformation of the form (A4.2) can be applied to any vector; above, we applied it to the position vector, r. Now we apply it to the acceleration vector. The acceleration in the inertial frame is related to the acceleration in the rotating frame by

According to (A4.4), the acceleration in the rotating frame is different from the acceleration in the inertial frame. Substituting for Va, from (A4.3), we find that

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