Autoreifen
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:
Temperatur \(T\) / Druck \(p\) /
The following formulas must be used to solve the exercise:
\(\frac{p_1}{T_1} = \frac{p_2}{T_2} \quad \)
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:
Bei etwa TO und einem Aussruck von paO wird ein Autoreifen auf einen Überdruck von puO aufgepumpt. Auf welchen Betrag hat sich der Überdruck verändert wenn beim Fahren die Temperatur des Reifens auf TbO gestiegen ist und sein Volumen als gleichbleib angenommen werden kann?
Solution:
Wir starten mit der Beziehung fracp_T_fracp_T_. Geg T_ T p_a paO pa p_u puO pu T_ Tb GesÜberdruckp_usipascal Zunächst rechnen wir die Temperaturen in Kelvin um: T_K TKF T + . TK T_K TbKF Tb + . TbK Der Anfangsdruck absolut beträgt p_ pcF pa + pu pc Setzt man dies in die obige Beziehung ein erhält man p_ fracp_ T_KT_K fracleftpcFright leftTbKFrightTKF fracleftpa + puright leftTb + .rightT + . pd Der Überdruck hat sich somit auf p_u p_ - p_a pdF - p_a fracleftpa + puright leftTb + .rightT + . - pa pub approx pubS verändert. p_u pubF pubS
Bei etwa TO und einem Aussruck von paO wird ein Autoreifen auf einen Überdruck von puO aufgepumpt. Auf welchen Betrag hat sich der Überdruck verändert wenn beim Fahren die Temperatur des Reifens auf TbO gestiegen ist und sein Volumen als gleichbleib angenommen werden kann?
Solution:
Wir starten mit der Beziehung fracp_T_fracp_T_. Geg T_ T p_a paO pa p_u puO pu T_ Tb GesÜberdruckp_usipascal Zunächst rechnen wir die Temperaturen in Kelvin um: T_K TKF T + . TK T_K TbKF Tb + . TbK Der Anfangsdruck absolut beträgt p_ pcF pa + pu pc Setzt man dies in die obige Beziehung ein erhält man p_ fracp_ T_KT_K fracleftpcFright leftTbKFrightTKF fracleftpa + puright leftTb + .rightT + . pd Der Überdruck hat sich somit auf p_u p_ - p_a pdF - p_a fracleftpa + puright leftTb + .rightT + . - pa pub approx pubS verändert. p_u pubF pubS
Meta Information
Exercise:
Bei etwa TO und einem Aussruck von paO wird ein Autoreifen auf einen Überdruck von puO aufgepumpt. Auf welchen Betrag hat sich der Überdruck verändert wenn beim Fahren die Temperatur des Reifens auf TbO gestiegen ist und sein Volumen als gleichbleib angenommen werden kann?
Solution:
Wir starten mit der Beziehung fracp_T_fracp_T_. Geg T_ T p_a paO pa p_u puO pu T_ Tb GesÜberdruckp_usipascal Zunächst rechnen wir die Temperaturen in Kelvin um: T_K TKF T + . TK T_K TbKF Tb + . TbK Der Anfangsdruck absolut beträgt p_ pcF pa + pu pc Setzt man dies in die obige Beziehung ein erhält man p_ fracp_ T_KT_K fracleftpcFright leftTbKFrightTKF fracleftpa + puright leftTb + .rightT + . pd Der Überdruck hat sich somit auf p_u p_ - p_a pdF - p_a fracleftpa + puright leftTb + .rightT + . - pa pub approx pubS verändert. p_u pubF pubS
Bei etwa TO und einem Aussruck von paO wird ein Autoreifen auf einen Überdruck von puO aufgepumpt. Auf welchen Betrag hat sich der Überdruck verändert wenn beim Fahren die Temperatur des Reifens auf TbO gestiegen ist und sein Volumen als gleichbleib angenommen werden kann?
Solution:
Wir starten mit der Beziehung fracp_T_fracp_T_. Geg T_ T p_a paO pa p_u puO pu T_ Tb GesÜberdruckp_usipascal Zunächst rechnen wir die Temperaturen in Kelvin um: T_K TKF T + . TK T_K TbKF Tb + . TbK Der Anfangsdruck absolut beträgt p_ pcF pa + pu pc Setzt man dies in die obige Beziehung ein erhält man p_ fracp_ T_KT_K fracleftpcFright leftTbKFrightTKF fracleftpa + puright leftTb + .rightT + . pd Der Überdruck hat sich somit auf p_u p_ - p_a pdF - p_a fracleftpa + puright leftTb + .rightT + . - pa pub approx pubS verändert. p_u pubF pubS
Contained in these collections
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Gesetz von Amontons pT by TeXercises
| Title | Matched on |
|---|---|
| Autoreifen | title |
| Autoreifen | title |
| Autoreifen | titleformula |
| Chlorgas | formula |
| Luft | formula |
Similar exercises (12)
| Title | Matched on |
|---|---|
| Autoreifen | title |
| Autoreifen | title |
| Autoreifen | titleformula |
| Chlorgas | formula |
| Luft | formula |
| Pressluftbehälter auf Berg | formula |
| Autoreifen | title |
| Autoreifen | title |
| Autoreifen | title |
| Doppelter Druck | tags |
| Gasdruck verdoppeln | tags |
| Gastemperatur | tags |