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Radius einer halbkreisförmigen Glasrinne

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Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise

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Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/radius-einer-halbkreisformigen-glasrinne/

Question

Solution

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Video

\(\LaTeX\)

Need help? Yes, please!

The following quantities appear in the problem: Masse \(m\) / Kraft \(F\) / Ortsfaktor \(g\) / Radius \(r\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) / Winkel \(\theta\) /

The following formulas must be used to solve the exercise: \(\cos\alpha = \dfrac{b}{c} \quad \) \(F = mg \quad \) \(\sin\alpha = \dfrac{a}{c} \quad \) \(F = mr\omega^2 \quad \)

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No explanation / solution video for this exercise has yet been created.
But there is a video to a similar exercise:

In case your browser prevents YouTube embedding: https://youtu.be/eIYyVuEztYE

Exercise:
Welchen Radius müsste eine halbkreisförmige Rinne haben damit eine Kugel in ihr sofern die Rinne sich mit wO um ihre vertikale Achse dreht hO über dem tiefsten Punkt horizontal kreist? center tikzpicture drawdashed ---; node at tikz x.cmy.cmline width.ex-stealthrotate colorgreen!!black solid draw arc -:: and ;; drawultra thick black arc :-:; filldrawcolorblack fillred -.-. circle .cm; tikzpicture center

Solution:
Es gilt dass: FZ costheta FG sheta mtilde romega^ costheta mg sheta mrshetaomega^ costheta mg sheta romega^ costheta g costheta fracgromega^ fracr-hr fracgromega^ r-h fracgomega^ r fracgomega^ + h fracncgqtyw^ + h r

Meta Information

\(\LaTeX\)-Code

Contained in these collections:

Glasrinne by TeXercises

3 | 4
KreisbewegungAbschlussFS24 by sn

10 | 13

Attributes & Decorations

Branches	Circular Motion, Dynamics
Tags	dynamik, kreis, kreisbewegung, mechanik, physik, zentrifugalkraft, zentripetalkraft
Content image
Difficulty	(3, default)
Points	5 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
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Link