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Iglu

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/iglu/

Question

Solution

Short

Video

\(\LaTeX\)

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The following quantities appear in the problem: Zeit \(t\) / Temperatur \(T\) / Arbeit \(W\) / Energie \(E\) / Leistung \(P\) / Fläche \(A\) / Radius \(r\) / Oberfläche \(S\) / Dicke \(d\) /

The following formulas must be used to solve the exercise: \(S = 4 \pi r^2 \quad \) \(P = \dfrac{E}{t} = \dfrac{W}{t} \quad \) \(\Phi = \lambda \dfrac{T_1-T_2}{d}A \quad \)

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Exercise:
Ein Iglu dessen Form vereinfacht als Halbkugel mit einem Innenradius von .m betrachtet werden kann werde aus festgestampftem Schnee errichtet. Im Innern soll eine Temperatur von .degreeCelsius aufrecht erhalten werden bei einer Aussentemperatur von -degreeCelsius. Die Bewohner des Iglus geben pro Tag eine Wärme von etwa MJ ab. Wie dick muss die Wandung des Iglus sein? Näherungsweise kann angenommen werden dass die Innen- und Aussenfläche der Igluwand gleich gross sind. Die Wärmeleitfähigkeit des Schnees beträgt milliwattperkelvinpermeter.

Solution:
newqtyr.m newqtyTwo.celsius newqtyTw.K newqtyTko-celsius newqtyTk.K newqtytod newqtyt.es newqtyQoMJ newqtyQQon eJ newqtyLomilliwattperkelvinpermeter newqtyLLon wattperkelvinpermeter % Geg r r sscTw Two Tw sscTk Tko Tk t to t Q Qo Q lambda Lo L % GesDicked sim % Die abgegebene Wärmeleistung der Bewohner beträgt: solqtyPfracQtQn/tnW al varPhi Pf fracQt P. % Die Oberfläche des Iglus ist: solqtyApi r^*pi*rn**squaremeter al A frac pi r^ Af piqtyr^ A. % Die Wand muss demnach folge Dicke haben: solqtydfraclambda pi r^ tQqtysscTw-sscTkLn*An/Pn*Twn-Tknm al d fraclambda AvarPhiqtysscTw-sscTk df fracLAPqtyTw-Tk d % d fracpilambda t r^QqtysscTw-sscTk dTT

Meta Information

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Contained in these collections:

Wärmetransport by aej

2 | 13
Iglu by TeXercises

1 | 6
Wärmeleitung by uz

6 | 9
Wärmeleitung by pw

4 | 8
Aufgaben: Wärmeleitung by sn

11 | 11

Attributes & Decorations

Branches	Heat Transfer
Tags	iglu, physik, schnee, thermodynamik, wärme, wärmelehre, wärmeleitfähigkeit, wärmeleitung, wärmetransport, wärmeübertragung
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Difficulty	(3, default)
Points	3 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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