Physikalisches Rechnen: Formalisieren 8
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.
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 -
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 -
Question
Solution
Short
Video
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Ein typischer Regenwurm Lumbricus terrestris hat .sig Masse ist sicm lang und hat .sicm Durchmesser. Er absorbiert .sitextensuremathupmu mol Sauerstoff pro Quadratzentimeter Haut und Stunde und er verbraucht .sitextensuremathupmu mol Sauerstoff pro Gramm und pro Stunde. % Physics Today July p Modellieren Sie den Wurm als Zylinder. Die Endflächen dürfen Sie ignorieren. a Kann der oben genannte Wurm genüg Sauerstoff aufnehmen? b Welche Länge könnte der Wurm maximal haben? c Welchen Durchmesser könnte ein langer Wurm maximal haben?
Solution:
% . Sept. Lie. * &a .sitextensuremathupmu mol cm^- h^- textquad flächenspezifische Aufnahmerate &v.sitextensuremathupmu mol g^- h^- textquad massenspezifische Verbrauchsrate &rho fracmV fracmpi d^ l frac .sigpi .sicm^ sicm .sig cm^- textquad mittlere Dichte &quad &texta aA api d l .sitextensuremathupmu mol cm^- h^- pi .sicm sicm .sitextensuremathupmu mol h^- &quad v m .sitextensuremathupmu mol g^- h^- .sig .sitextensuremathupmu mol h^- aA quad checkmark &textb aA v m v rho V Rightarrow api d l v rho tfracpi d^ l &textquad Die Länge fällt heraus; der Wurm kann beliebig lang werden. &textc api d l v rho tfracpi d^ l Rightarrow d_ &quad d_max fracavrho frac .sitextensuremathupmu mol cm^- h^-.sitextensuremathupmu mol g^- h^- .sig/cm^ .sicm * newpage
Ein typischer Regenwurm Lumbricus terrestris hat .sig Masse ist sicm lang und hat .sicm Durchmesser. Er absorbiert .sitextensuremathupmu mol Sauerstoff pro Quadratzentimeter Haut und Stunde und er verbraucht .sitextensuremathupmu mol Sauerstoff pro Gramm und pro Stunde. % Physics Today July p Modellieren Sie den Wurm als Zylinder. Die Endflächen dürfen Sie ignorieren. a Kann der oben genannte Wurm genüg Sauerstoff aufnehmen? b Welche Länge könnte der Wurm maximal haben? c Welchen Durchmesser könnte ein langer Wurm maximal haben?
Solution:
% . Sept. Lie. * &a .sitextensuremathupmu mol cm^- h^- textquad flächenspezifische Aufnahmerate &v.sitextensuremathupmu mol g^- h^- textquad massenspezifische Verbrauchsrate &rho fracmV fracmpi d^ l frac .sigpi .sicm^ sicm .sig cm^- textquad mittlere Dichte &quad &texta aA api d l .sitextensuremathupmu mol cm^- h^- pi .sicm sicm .sitextensuremathupmu mol h^- &quad v m .sitextensuremathupmu mol g^- h^- .sig .sitextensuremathupmu mol h^- aA quad checkmark &textb aA v m v rho V Rightarrow api d l v rho tfracpi d^ l &textquad Die Länge fällt heraus; der Wurm kann beliebig lang werden. &textc api d l v rho tfracpi d^ l Rightarrow d_ &quad d_max fracavrho frac .sitextensuremathupmu mol cm^- h^-.sitextensuremathupmu mol g^- h^- .sig/cm^ .sicm * newpage
Meta Information
Exercise:
Ein typischer Regenwurm Lumbricus terrestris hat .sig Masse ist sicm lang und hat .sicm Durchmesser. Er absorbiert .sitextensuremathupmu mol Sauerstoff pro Quadratzentimeter Haut und Stunde und er verbraucht .sitextensuremathupmu mol Sauerstoff pro Gramm und pro Stunde. % Physics Today July p Modellieren Sie den Wurm als Zylinder. Die Endflächen dürfen Sie ignorieren. a Kann der oben genannte Wurm genüg Sauerstoff aufnehmen? b Welche Länge könnte der Wurm maximal haben? c Welchen Durchmesser könnte ein langer Wurm maximal haben?
Solution:
% . Sept. Lie. * &a .sitextensuremathupmu mol cm^- h^- textquad flächenspezifische Aufnahmerate &v.sitextensuremathupmu mol g^- h^- textquad massenspezifische Verbrauchsrate &rho fracmV fracmpi d^ l frac .sigpi .sicm^ sicm .sig cm^- textquad mittlere Dichte &quad &texta aA api d l .sitextensuremathupmu mol cm^- h^- pi .sicm sicm .sitextensuremathupmu mol h^- &quad v m .sitextensuremathupmu mol g^- h^- .sig .sitextensuremathupmu mol h^- aA quad checkmark &textb aA v m v rho V Rightarrow api d l v rho tfracpi d^ l &textquad Die Länge fällt heraus; der Wurm kann beliebig lang werden. &textc api d l v rho tfracpi d^ l Rightarrow d_ &quad d_max fracavrho frac .sitextensuremathupmu mol cm^- h^-.sitextensuremathupmu mol g^- h^- .sig/cm^ .sicm * newpage
Ein typischer Regenwurm Lumbricus terrestris hat .sig Masse ist sicm lang und hat .sicm Durchmesser. Er absorbiert .sitextensuremathupmu mol Sauerstoff pro Quadratzentimeter Haut und Stunde und er verbraucht .sitextensuremathupmu mol Sauerstoff pro Gramm und pro Stunde. % Physics Today July p Modellieren Sie den Wurm als Zylinder. Die Endflächen dürfen Sie ignorieren. a Kann der oben genannte Wurm genüg Sauerstoff aufnehmen? b Welche Länge könnte der Wurm maximal haben? c Welchen Durchmesser könnte ein langer Wurm maximal haben?
Solution:
% . Sept. Lie. * &a .sitextensuremathupmu mol cm^- h^- textquad flächenspezifische Aufnahmerate &v.sitextensuremathupmu mol g^- h^- textquad massenspezifische Verbrauchsrate &rho fracmV fracmpi d^ l frac .sigpi .sicm^ sicm .sig cm^- textquad mittlere Dichte &quad &texta aA api d l .sitextensuremathupmu mol cm^- h^- pi .sicm sicm .sitextensuremathupmu mol h^- &quad v m .sitextensuremathupmu mol g^- h^- .sig .sitextensuremathupmu mol h^- aA quad checkmark &textb aA v m v rho V Rightarrow api d l v rho tfracpi d^ l &textquad Die Länge fällt heraus; der Wurm kann beliebig lang werden. &textc api d l v rho tfracpi d^ l Rightarrow d_ &quad d_max fracavrho frac .sitextensuremathupmu mol cm^- h^-.sitextensuremathupmu mol g^- h^- .sig/cm^ .sicm * newpage
Contained in these collections: