Press- und Druckkolben
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
\(\LaTeX\)
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Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Bei einer hydraulischen Presse wirken zwei Kolben auf eine Flüssigkeit. Die Durchmesser der Kolben betragen .m und .cm. Im Gleichgewicht beträgt die Kraft auf den grösseren der beiden Kolben kN enumerate item Wie gross muss die Kraft auf den Kolben mit dem kleineren Durchmesser sein? item Wie weit bewegt sich bei einem Pressvorgang der 'Kolben wo die kleinere Kraft herrscht' wenn der 'Kolben wo die grössere Kraft herrscht' um centimeter bewegt wird? enumerate
Solution:
enumerate item Da der Druck in der Flüssigkeit überall gleich gross ist gilt pfracFA longrightarrow fracF_kA_kfracF_gA_g longrightarrow F_kfracA_kA_g F_g left fracr_kr_g right^ F_g left frac.cmcm right^ kN kN item Gleiches Volumen: A_ h_A_ h_ longrightarrow h_fracA_A_h_ fracA_A_h_ left fracr_r_right^ h_ left fraccm.cmright^ centimeter centimeter % % pfracFA % fracF_gA_g % fracF_gpi r_g^ % fraceNpi .m^ % &approx ePabar % enumerate
Bei einer hydraulischen Presse wirken zwei Kolben auf eine Flüssigkeit. Die Durchmesser der Kolben betragen .m und .cm. Im Gleichgewicht beträgt die Kraft auf den grösseren der beiden Kolben kN enumerate item Wie gross muss die Kraft auf den Kolben mit dem kleineren Durchmesser sein? item Wie weit bewegt sich bei einem Pressvorgang der 'Kolben wo die kleinere Kraft herrscht' wenn der 'Kolben wo die grössere Kraft herrscht' um centimeter bewegt wird? enumerate
Solution:
enumerate item Da der Druck in der Flüssigkeit überall gleich gross ist gilt pfracFA longrightarrow fracF_kA_kfracF_gA_g longrightarrow F_kfracA_kA_g F_g left fracr_kr_g right^ F_g left frac.cmcm right^ kN kN item Gleiches Volumen: A_ h_A_ h_ longrightarrow h_fracA_A_h_ fracA_A_h_ left fracr_r_right^ h_ left fraccm.cmright^ centimeter centimeter % % pfracFA % fracF_gA_g % fracF_gpi r_g^ % fraceNpi .m^ % &approx ePabar % enumerate
Meta Information
Exercise:
Bei einer hydraulischen Presse wirken zwei Kolben auf eine Flüssigkeit. Die Durchmesser der Kolben betragen .m und .cm. Im Gleichgewicht beträgt die Kraft auf den grösseren der beiden Kolben kN enumerate item Wie gross muss die Kraft auf den Kolben mit dem kleineren Durchmesser sein? item Wie weit bewegt sich bei einem Pressvorgang der 'Kolben wo die kleinere Kraft herrscht' wenn der 'Kolben wo die grössere Kraft herrscht' um centimeter bewegt wird? enumerate
Solution:
enumerate item Da der Druck in der Flüssigkeit überall gleich gross ist gilt pfracFA longrightarrow fracF_kA_kfracF_gA_g longrightarrow F_kfracA_kA_g F_g left fracr_kr_g right^ F_g left frac.cmcm right^ kN kN item Gleiches Volumen: A_ h_A_ h_ longrightarrow h_fracA_A_h_ fracA_A_h_ left fracr_r_right^ h_ left fraccm.cmright^ centimeter centimeter % % pfracFA % fracF_gA_g % fracF_gpi r_g^ % fraceNpi .m^ % &approx ePabar % enumerate
Bei einer hydraulischen Presse wirken zwei Kolben auf eine Flüssigkeit. Die Durchmesser der Kolben betragen .m und .cm. Im Gleichgewicht beträgt die Kraft auf den grösseren der beiden Kolben kN enumerate item Wie gross muss die Kraft auf den Kolben mit dem kleineren Durchmesser sein? item Wie weit bewegt sich bei einem Pressvorgang der 'Kolben wo die kleinere Kraft herrscht' wenn der 'Kolben wo die grössere Kraft herrscht' um centimeter bewegt wird? enumerate
Solution:
enumerate item Da der Druck in der Flüssigkeit überall gleich gross ist gilt pfracFA longrightarrow fracF_kA_kfracF_gA_g longrightarrow F_kfracA_kA_g F_g left fracr_kr_g right^ F_g left frac.cmcm right^ kN kN item Gleiches Volumen: A_ h_A_ h_ longrightarrow h_fracA_A_h_ fracA_A_h_ left fracr_r_right^ h_ left fraccm.cmright^ centimeter centimeter % % pfracFA % fracF_gA_g % fracF_gpi r_g^ % fraceNpi .m^ % &approx ePabar % enumerate
Contained in these collections:

