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Karussell

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That being said... How many "default points" should you associate with an exercise upon creation?
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But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.

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When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
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Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.

That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:

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

Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise

Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise

Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise

Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/karussell/

Question

Solution

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The following quantities appear in the problem: Zeit \(t\) / Länge \(\ell\) / Kraft \(F\) / Trägheitsmoment \(J, \Theta, I\) / Drehmoment \(\vec M\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) / Winkelbeschleunigung \(\alpha\) / Winkel \(\theta\) /

The following formulas must be used to solve the exercise: \(\gamma = \dfrac{\alpha}{2}t^2+\omega_0 t + \gamma_0 \quad \) \(M = J\alpha \quad \) \(\vec M = \vec \ell \times \vec F \quad \)

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Exercise:
Um ein Spielplatz-Karussell in Drehung zu versetzen werde ein Seil herumgewickelt und tO lang mit FO daran gezogen. Währ dieser Zeit drehe sich das Karussell mit rO Radius einmal um seine Achse. Wie gross ist das Trägheitsmoment des Karussells?

Solution:
Geg t t F F r rO r gamma gmO gm GesTrägheitsmomentJsikilogrammetersquared Falls das Karussell sich aus dem Stillstand währ tO um gmO dreht so erfährt es SolQtyalp*gmX/tX^radpsq alpha fracgammat^ frac gmqtyt^ alp Winkelbeschleunigung. Durch das Seil wird auf das Karussell SolQtyMrX*FXNm M rF r F M Drehmoment übertragen. Das Karussell hat also SolQtyJMX/alpXkilogrammetersquared J fracMalpha fracrFfracgammat^ fracrFt^gamma fracMalp J Trägheitsmoment. J fracrFt^gamma J

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Contained in these collections:

Karussell by TeXercises

1 | 2
Dynamik der Rotation 1 by uz

6 | 12

Attributes & Decorations

Tags	drehmoment, kraftwirkung, körper, mechanik, physik, rotation, starrer, trägheitsmoment, winkelbeschleunigung
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Difficulty	(3, default)
Points	3 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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