Velocity and Acceleration in Rotating Frames

Velocity and acceleration in rotating frames are found by comparing a vector measured in an inertial frame with the same vector measured in a rotating frame. A vector that turns with a fixed angular velocity traces a circular path. In a short time interval, it moves through an angle equal to angular velocity multiplied by ti...

Consider a vector rotating about an axis with an angular velocity such that its tip sweeps a circular path.

The time derivative of this vector equals its position change during an infinitesimal time interval. This expression is rewritten in terms of the cross product of the angular velocity and the vector.

Consider an arbitrary vec...