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Anfänglich ruhendes Rad

About points...

We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.

That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
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.

About difficulty...

We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
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/anfanglich-ruhendes-rad/

Question

Solution

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The following quantities appear in the problem: Zeit \(t\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) / Winkelbeschleunigung \(\alpha\) / Winkel \(\theta\) /

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

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Exercise:
abcliste abc Um welchen Winkel dreht sich ein anfänglich stillstehes Rad insgesamt falls es währ atO konstant mit aaO beschleunigt wird? abc Wie lange dauert es bis ein anfänglich ruhes Rad bei baO Winkelbeschleunigung achtzig ganze Umdrehungen gemacht hat? abc Welcher Winkelbeschleunigung müsste ein sich zuerst nicht beweges Rad unterliegen damit es sich währ ctO um cgO drehen würde? abcliste

Solution:
abcliste abc Das Rad dreht sich dabei um folgen Winkel: gamma fracalphat^+ omega_ t fracaa at^ + ag abc Das Rad hat nach t sqrtfracgammaalpha sqrtfrac bgba bt achtzig volle Umdrehungen gemacht. abc Die Winkelbeschleunigung müsste alpha fracgammat^ frac cgct^ ca betragen. abcliste

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Contained in these collections:

Kinematik Kreis 1. Formel by TeXercises

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Attributes & Decorations

Branches	Circular Motion, Kinematics
Tags	kinematik, kreis, kreisbewegung, mechanik, physik, rad, winkelbeschleunigung, winkelgeschwindigkeit
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Difficulty	(1, default)
Points	12 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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