Rotating frame transformation

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Revision as of 01:15, 20 March 2008 by Evgeny Fadeev (Talk | contribs)

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Let's start with a fixed laboratory frame. In that frame, imagine vector A rotating with a positive angular frequency ω. Direction of such rotation of A will be counter-clockwise.

Let's determine derivative Failed to parse (syntax error): \frac{\vec{\delta {A}}{\delta t} .

First calculate $\vec{\delta A}$ - how much $\vec{A}$ changes within time $\displaystyle \delta t$ .

$\vec{\delta A} = \delta\phi \cdot |\vec{a}| \cdot \vec{n}$

In the equation above $\displaystyle \delta \phi$ - rotation angle, $\vec{a}$ - projection of $\vec{A}$ on the plane normal to $\displaystyle \omega$ , and $\vec{n}$ - unit vector collinear with $\vec{\delta A}$