Rotating reference frame: Difference between revisions

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:<math>\mathbf{v} \ \stackrel{\mathrm{def}}{=}\ \frac{\mathrm{d}\mathbf{r}}{\mathrm{d}t} \ .</math>
 
The time derivative of a position <math>\boldsymbol{r}(t)</math> in a rotating reference frame has two components, one from the explicit time dependence due to motion of the particleobject itself in the rotating reference frame, and another from the frame's own rotation. Applying the result of the previous subsection to the displacement <math>\boldsymbol{r}(t),</math> the [[Velocity|velocities]] in the two reference frames are related by the equation
 
:<math>