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Zentripetalkraft mit Winkelgeschwindigkeit

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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/zentripetalkraft-mit-winkelgeschwindigkeit/

Question

Solution

Short

Video

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The following quantities appear in the problem: Masse \(m\) / Kraft \(F\) / Geschwindigkeit \(v\) / Radius \(r\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) /

The following formulas must be used to solve the exercise: \(F = m\dfrac{v^2}{r} \quad \) \(F = mr\omega^2 \quad \)

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Exercise:
abcliste abc Welche Kraft ist notwig um einen Körper mit mg Masse auf einem Kreis mit cm Radius festzuhalten falls er auf diesem pro Minute einen Umlauf machen soll? abc Berechne die Masse eines Körpers welcher mit mN Zentripetalkraft auf einem Kreis mit mm Radius festgehalten werden kann falls er dort mit .Hz rotiert. abc Berechne den Radius einer Kreisbahn auf welcher ein Körper mit .t Masse mit kN Zentripetalkraft festgehalten wird falls er dort mit .radps kreist. abc Mit welcher Winkelgeschwindigkeit kreist ein Körper mit g Masse auf einer Kreisbahn mit .dm Radius falls dabei eine Zentripetalkraft von cN wirkt? abcliste

Solution:
abcliste abc newqtymkg newqtyrm newqtyw.rps solqtyFmromega^mn*rn*wn**N al FZ Ff m r qtyw^ FII abc newqtyFN newqtyrm newqtyw.rps solqtymfracFZromega^Fn/rn*wn**kg al m mf fracFr qtyw^ mII abc newqtym.ekg newqtyFeN newqtyw.rps solqtyrfracFZmomega^Fn/mn*wn**m al r rf fracFm qtyw^ rII abc newqtymkg newqtyr.m newqtyFN solqtywsqrtfracFZmrsqrtFn/mn*rnrps al omega wf sqrtfracFm r wII abcliste

Meta Information

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Contained in these collections:

Zentripetalkraft by TeXercises

2 | 29
Dynamik der Kreisbewegung 1 by uz

2 | 10
Aufgaben: Zentripetalkraft by sn

6 | 7

Attributes & Decorations

Branches	Circular Motion
Tags	kreis, kreisbewegung, mechanik, physik, rotation, zentrifugalkraft, zentripetalkraft
Content image
Difficulty	(1, default)
Points	8 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
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Link