Schwungrad am Max-Planck-Institut
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
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Video
\(\LaTeX\)
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Exercise:
% Damit wird ein Fusionsreaktor stossweise energetisiert. Das BrandNameMax Planck Institut für Plasmaphysik betreibt ein zylindrisches Schwungrad von sit Masse .sim Aussurchmesser und .sim Länge. Die Drehzahl liegt zwischen maximal per-modereciprocalperminute und minimal per-modereciprocalperminute. Die gespeicherte nutzbare Energie beträgt .siGJ. Das Schwungrad wird langsam mit einem Motor aufgeladen und schnell über einen Generator entladen. Die maximale Entladeleistung beträgt siMW. abcliste abc Stimmen die .siGJ etwa? abc Wie lange dauert die Entladung des Schwungradspeichers etwa? abc Mit welcher Rate fracddomegaddt nimmt die Winkelgeschwindigkeit zu Beginn bei per-modereciprocalperminute ab? abcliste
Solution:
* &texta Delta E_rtfracJ_Somega^-omega_^ tfrac mr^ pi^ f^-f_^ &qquad pi^ eeesikg leftfrac.simright^ leftfrac^^-frac^^rightsiHz^ uuline.siGJ quad checkmark &textb P approx fracDelta EDelta t Rightarrow Delta t approx fracDelta EP frac.eeesiJeeesiW uuline.sis &textc P fracdE_rdt fracddtleft tfracJ_Somega^right J_S omega fracdomegadt Rightarrow fracdomegadt fracPJ_S omega fracPtfrac mr^ pi f &qquad fracdomegadt fraceeesiWpi eeesikg .sim^ /sis uuline.sis^- *
% Damit wird ein Fusionsreaktor stossweise energetisiert. Das BrandNameMax Planck Institut für Plasmaphysik betreibt ein zylindrisches Schwungrad von sit Masse .sim Aussurchmesser und .sim Länge. Die Drehzahl liegt zwischen maximal per-modereciprocalperminute und minimal per-modereciprocalperminute. Die gespeicherte nutzbare Energie beträgt .siGJ. Das Schwungrad wird langsam mit einem Motor aufgeladen und schnell über einen Generator entladen. Die maximale Entladeleistung beträgt siMW. abcliste abc Stimmen die .siGJ etwa? abc Wie lange dauert die Entladung des Schwungradspeichers etwa? abc Mit welcher Rate fracddomegaddt nimmt die Winkelgeschwindigkeit zu Beginn bei per-modereciprocalperminute ab? abcliste
Solution:
* &texta Delta E_rtfracJ_Somega^-omega_^ tfrac mr^ pi^ f^-f_^ &qquad pi^ eeesikg leftfrac.simright^ leftfrac^^-frac^^rightsiHz^ uuline.siGJ quad checkmark &textb P approx fracDelta EDelta t Rightarrow Delta t approx fracDelta EP frac.eeesiJeeesiW uuline.sis &textc P fracdE_rdt fracddtleft tfracJ_Somega^right J_S omega fracdomegadt Rightarrow fracdomegadt fracPJ_S omega fracPtfrac mr^ pi f &qquad fracdomegadt fraceeesiWpi eeesikg .sim^ /sis uuline.sis^- *
Meta Information
Exercise:
% Damit wird ein Fusionsreaktor stossweise energetisiert. Das BrandNameMax Planck Institut für Plasmaphysik betreibt ein zylindrisches Schwungrad von sit Masse .sim Aussurchmesser und .sim Länge. Die Drehzahl liegt zwischen maximal per-modereciprocalperminute und minimal per-modereciprocalperminute. Die gespeicherte nutzbare Energie beträgt .siGJ. Das Schwungrad wird langsam mit einem Motor aufgeladen und schnell über einen Generator entladen. Die maximale Entladeleistung beträgt siMW. abcliste abc Stimmen die .siGJ etwa? abc Wie lange dauert die Entladung des Schwungradspeichers etwa? abc Mit welcher Rate fracddomegaddt nimmt die Winkelgeschwindigkeit zu Beginn bei per-modereciprocalperminute ab? abcliste
Solution:
* &texta Delta E_rtfracJ_Somega^-omega_^ tfrac mr^ pi^ f^-f_^ &qquad pi^ eeesikg leftfrac.simright^ leftfrac^^-frac^^rightsiHz^ uuline.siGJ quad checkmark &textb P approx fracDelta EDelta t Rightarrow Delta t approx fracDelta EP frac.eeesiJeeesiW uuline.sis &textc P fracdE_rdt fracddtleft tfracJ_Somega^right J_S omega fracdomegadt Rightarrow fracdomegadt fracPJ_S omega fracPtfrac mr^ pi f &qquad fracdomegadt fraceeesiWpi eeesikg .sim^ /sis uuline.sis^- *
% Damit wird ein Fusionsreaktor stossweise energetisiert. Das BrandNameMax Planck Institut für Plasmaphysik betreibt ein zylindrisches Schwungrad von sit Masse .sim Aussurchmesser und .sim Länge. Die Drehzahl liegt zwischen maximal per-modereciprocalperminute und minimal per-modereciprocalperminute. Die gespeicherte nutzbare Energie beträgt .siGJ. Das Schwungrad wird langsam mit einem Motor aufgeladen und schnell über einen Generator entladen. Die maximale Entladeleistung beträgt siMW. abcliste abc Stimmen die .siGJ etwa? abc Wie lange dauert die Entladung des Schwungradspeichers etwa? abc Mit welcher Rate fracddomegaddt nimmt die Winkelgeschwindigkeit zu Beginn bei per-modereciprocalperminute ab? abcliste
Solution:
* &texta Delta E_rtfracJ_Somega^-omega_^ tfrac mr^ pi^ f^-f_^ &qquad pi^ eeesikg leftfrac.simright^ leftfrac^^-frac^^rightsiHz^ uuline.siGJ quad checkmark &textb P approx fracDelta EDelta t Rightarrow Delta t approx fracDelta EP frac.eeesiJeeesiW uuline.sis &textc P fracdE_rdt fracddtleft tfracJ_Somega^right J_S omega fracdomegadt Rightarrow fracdomegadt fracPJ_S omega fracPtfrac mr^ pi f &qquad fracdomegadt fraceeesiWpi eeesikg .sim^ /sis uuline.sis^- *
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Rotationsenergie 2 by uz