Mathematik-Online problems: Problem 242: Rotating Frames of Reference

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	Mathematik-Online problems:
	Problem 242: Rotating Frames of Reference

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

The picture shows the paths of a circular motion

$\displaystyle x = 3 + \cos t,\quad y = \sin t$

(or $z = 3 + \exp(\mathrm{i} t)$ in terms of komplex numbers) relative to rotating frames of reference, $z'=x'+{\rm {i}} y':=z\,{\rm {exp}}({\rm {i}} \omega t)$ , with different angular velocities $\omega$ .

$\includegraphics[width=0.8\linewidth]{A974a_bild1.eps}$

Which values of $\omega$ correspond to the examples given above? When can bends (observed velocity is 0) appear?

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automatisch erstellt am 18. 1. 2017