Wellenfunktion stehender Wellen
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:
abcliste abc Eine stehe Welle hat die Amplitude aaO die Kreisfrequenz awO und die Wellenzahl akO. Wie gross ist die Auslenkung an der Position axO zur Zeit atO? abc An einem bestimmten Ort bxO wird zur Zeit btO eine Auslenkung von byO beobachtet. Die stehe Welle hat die Periodauer bTO und die Wellenzahl bkO. Wie gross ist die Amplitude der Welle? abc Eine stehe Welle hat die Amplitude cyoO eine Kreisfrequenz von cwO und eine Wellenlänge von clO. An der Stelle cxO beträgt die Auslenkung cyO. Zu welchem Zeitpunkt tritt dieser Zustand auf? abc Eine stehe Welle besitzt die Amplitude dyoO eine Wellenlänge von dlO und eine Periodauer von dTO. Zur Zeit dtO beträgt die Auslenkung dyO. An welcher Position befindet sich dieser Punkt? abcliste
Solution:
abcliste abc SolQtyayaaX*cosawX*atX*sinakX*axXm y y_ cosomega t sinkx aa cosaw at sinak ax ay abc SolQtybyobyX/cos*pi*btX/bTX*sinbkX*bxXm y_ fracycosomega t sinkx fracbycosleftpi bt/bTright sinbk bx byo abc SolQtyctacoscyX/cyoX*sincxX*cwX/*pi/clX/cwXs t frac arccosleft fracyy_ sinkx right omega frac arccosleft fraccycyo sinleft fracpicl cx right right cw ct abc SolQtyctacoscyX/cyoX*sin*pi*cxX/clX/cwXs t frac arccosleft fracyy_ sinkx right omega frac arccosleft fraccycyo sinleft fracpicl cx right right cw ct abcliste
abcliste abc Eine stehe Welle hat die Amplitude aaO die Kreisfrequenz awO und die Wellenzahl akO. Wie gross ist die Auslenkung an der Position axO zur Zeit atO? abc An einem bestimmten Ort bxO wird zur Zeit btO eine Auslenkung von byO beobachtet. Die stehe Welle hat die Periodauer bTO und die Wellenzahl bkO. Wie gross ist die Amplitude der Welle? abc Eine stehe Welle hat die Amplitude cyoO eine Kreisfrequenz von cwO und eine Wellenlänge von clO. An der Stelle cxO beträgt die Auslenkung cyO. Zu welchem Zeitpunkt tritt dieser Zustand auf? abc Eine stehe Welle besitzt die Amplitude dyoO eine Wellenlänge von dlO und eine Periodauer von dTO. Zur Zeit dtO beträgt die Auslenkung dyO. An welcher Position befindet sich dieser Punkt? abcliste
Solution:
abcliste abc SolQtyayaaX*cosawX*atX*sinakX*axXm y y_ cosomega t sinkx aa cosaw at sinak ax ay abc SolQtybyobyX/cos*pi*btX/bTX*sinbkX*bxXm y_ fracycosomega t sinkx fracbycosleftpi bt/bTright sinbk bx byo abc SolQtyctacoscyX/cyoX*sincxX*cwX/*pi/clX/cwXs t frac arccosleft fracyy_ sinkx right omega frac arccosleft fraccycyo sinleft fracpicl cx right right cw ct abc SolQtyctacoscyX/cyoX*sin*pi*cxX/clX/cwXs t frac arccosleft fracyy_ sinkx right omega frac arccosleft fraccycyo sinleft fracpicl cx right right cw ct abcliste
Meta Information
Exercise:
abcliste abc Eine stehe Welle hat die Amplitude aaO die Kreisfrequenz awO und die Wellenzahl akO. Wie gross ist die Auslenkung an der Position axO zur Zeit atO? abc An einem bestimmten Ort bxO wird zur Zeit btO eine Auslenkung von byO beobachtet. Die stehe Welle hat die Periodauer bTO und die Wellenzahl bkO. Wie gross ist die Amplitude der Welle? abc Eine stehe Welle hat die Amplitude cyoO eine Kreisfrequenz von cwO und eine Wellenlänge von clO. An der Stelle cxO beträgt die Auslenkung cyO. Zu welchem Zeitpunkt tritt dieser Zustand auf? abc Eine stehe Welle besitzt die Amplitude dyoO eine Wellenlänge von dlO und eine Periodauer von dTO. Zur Zeit dtO beträgt die Auslenkung dyO. An welcher Position befindet sich dieser Punkt? abcliste
Solution:
abcliste abc SolQtyayaaX*cosawX*atX*sinakX*axXm y y_ cosomega t sinkx aa cosaw at sinak ax ay abc SolQtybyobyX/cos*pi*btX/bTX*sinbkX*bxXm y_ fracycosomega t sinkx fracbycosleftpi bt/bTright sinbk bx byo abc SolQtyctacoscyX/cyoX*sincxX*cwX/*pi/clX/cwXs t frac arccosleft fracyy_ sinkx right omega frac arccosleft fraccycyo sinleft fracpicl cx right right cw ct abc SolQtyctacoscyX/cyoX*sin*pi*cxX/clX/cwXs t frac arccosleft fracyy_ sinkx right omega frac arccosleft fraccycyo sinleft fracpicl cx right right cw ct abcliste
abcliste abc Eine stehe Welle hat die Amplitude aaO die Kreisfrequenz awO und die Wellenzahl akO. Wie gross ist die Auslenkung an der Position axO zur Zeit atO? abc An einem bestimmten Ort bxO wird zur Zeit btO eine Auslenkung von byO beobachtet. Die stehe Welle hat die Periodauer bTO und die Wellenzahl bkO. Wie gross ist die Amplitude der Welle? abc Eine stehe Welle hat die Amplitude cyoO eine Kreisfrequenz von cwO und eine Wellenlänge von clO. An der Stelle cxO beträgt die Auslenkung cyO. Zu welchem Zeitpunkt tritt dieser Zustand auf? abc Eine stehe Welle besitzt die Amplitude dyoO eine Wellenlänge von dlO und eine Periodauer von dTO. Zur Zeit dtO beträgt die Auslenkung dyO. An welcher Position befindet sich dieser Punkt? abcliste
Solution:
abcliste abc SolQtyayaaX*cosawX*atX*sinakX*axXm y y_ cosomega t sinkx aa cosaw at sinak ax ay abc SolQtybyobyX/cos*pi*btX/bTX*sinbkX*bxXm y_ fracycosomega t sinkx fracbycosleftpi bt/bTright sinbk bx byo abc SolQtyctacoscyX/cyoX*sincxX*cwX/*pi/clX/cwXs t frac arccosleft fracyy_ sinkx right omega frac arccosleft fraccycyo sinleft fracpicl cx right right cw ct abc SolQtyctacoscyX/cyoX*sin*pi*cxX/clX/cwXs t frac arccosleft fracyy_ sinkx right omega frac arccosleft fraccycyo sinleft fracpicl cx right right cw ct abcliste
Contained in these collections:
-
Stehende Wellen 1 by uz