Stillstehendes Rad
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
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem:
Zeit \(t\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) / Winkelbeschleunigung \(\alpha\) /
The following formulas must be used to solve the exercise:
\(\omega = \alpha t + \omega_0 \quad \)
No explanation / solution video to this exercise has yet been created.
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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:
abcliste abc Wie stark müsste ein anfänglich stillstehes Rad währ atO konstant beschleunigt werden damit es anschliess awO Winkelgeschwindigkeit hätte? abc Wie lange würde es bei baO Winkelbeschleunigung dauern bis eine anfänglich ruhe Scheibe sich mit bwO drehen würde? abc Wie stark müsste man einen sich zuerst nicht drehen Ring beschleunigen damit er innerhalb von ctO eine Drehfrequenz von cwO erreicht? abc Welche Winkelgeschwindigkeit hat ein Rad nachdem es aus dem Stillstand währ dtO mit daO beschleunigt wurde? abcliste
Solution:
abcliste abc Die Winkelbeschleunigung müsste alpha fracomegat fracawat .radianpersecondsquared betragen. abc Das Rad hätte die angegebene Winkelgeschwindigkeit nach folger Zeit erreicht: t fracomegaalpha fracbwba .s abc Das Rad müsste eine Winkelbeschleunigung von alpha fracomegat fraccwct .eradianpersecondsquared erfahren. abc Das Rad hätte omega alpha t da dt .radps Winkelgeschwindigkeit. abcliste
abcliste abc Wie stark müsste ein anfänglich stillstehes Rad währ atO konstant beschleunigt werden damit es anschliess awO Winkelgeschwindigkeit hätte? abc Wie lange würde es bei baO Winkelbeschleunigung dauern bis eine anfänglich ruhe Scheibe sich mit bwO drehen würde? abc Wie stark müsste man einen sich zuerst nicht drehen Ring beschleunigen damit er innerhalb von ctO eine Drehfrequenz von cwO erreicht? abc Welche Winkelgeschwindigkeit hat ein Rad nachdem es aus dem Stillstand währ dtO mit daO beschleunigt wurde? abcliste
Solution:
abcliste abc Die Winkelbeschleunigung müsste alpha fracomegat fracawat .radianpersecondsquared betragen. abc Das Rad hätte die angegebene Winkelgeschwindigkeit nach folger Zeit erreicht: t fracomegaalpha fracbwba .s abc Das Rad müsste eine Winkelbeschleunigung von alpha fracomegat fraccwct .eradianpersecondsquared erfahren. abc Das Rad hätte omega alpha t da dt .radps Winkelgeschwindigkeit. abcliste
Meta Information
Exercise:
abcliste abc Wie stark müsste ein anfänglich stillstehes Rad währ atO konstant beschleunigt werden damit es anschliess awO Winkelgeschwindigkeit hätte? abc Wie lange würde es bei baO Winkelbeschleunigung dauern bis eine anfänglich ruhe Scheibe sich mit bwO drehen würde? abc Wie stark müsste man einen sich zuerst nicht drehen Ring beschleunigen damit er innerhalb von ctO eine Drehfrequenz von cwO erreicht? abc Welche Winkelgeschwindigkeit hat ein Rad nachdem es aus dem Stillstand währ dtO mit daO beschleunigt wurde? abcliste
Solution:
abcliste abc Die Winkelbeschleunigung müsste alpha fracomegat fracawat .radianpersecondsquared betragen. abc Das Rad hätte die angegebene Winkelgeschwindigkeit nach folger Zeit erreicht: t fracomegaalpha fracbwba .s abc Das Rad müsste eine Winkelbeschleunigung von alpha fracomegat fraccwct .eradianpersecondsquared erfahren. abc Das Rad hätte omega alpha t da dt .radps Winkelgeschwindigkeit. abcliste
abcliste abc Wie stark müsste ein anfänglich stillstehes Rad währ atO konstant beschleunigt werden damit es anschliess awO Winkelgeschwindigkeit hätte? abc Wie lange würde es bei baO Winkelbeschleunigung dauern bis eine anfänglich ruhe Scheibe sich mit bwO drehen würde? abc Wie stark müsste man einen sich zuerst nicht drehen Ring beschleunigen damit er innerhalb von ctO eine Drehfrequenz von cwO erreicht? abc Welche Winkelgeschwindigkeit hat ein Rad nachdem es aus dem Stillstand währ dtO mit daO beschleunigt wurde? abcliste
Solution:
abcliste abc Die Winkelbeschleunigung müsste alpha fracomegat fracawat .radianpersecondsquared betragen. abc Das Rad hätte die angegebene Winkelgeschwindigkeit nach folger Zeit erreicht: t fracomegaalpha fracbwba .s abc Das Rad müsste eine Winkelbeschleunigung von alpha fracomegat fraccwct .eradianpersecondsquared erfahren. abc Das Rad hätte omega alpha t da dt .radps Winkelgeschwindigkeit. abcliste
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Kinematik Kreis 2. Formel by TeXercises