Terrestrial heat
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:
The temperature within the Earth's crust increases about .degreeCelsius for each m of depth. The thermal conductivity of the crust is .wattperkelvinpermeter. Determine the heat transferred from the erior to the surface for the entire Earth in one year.
Solution:
NewQtyDT.K NewQtydm NewQtytod NewQtyt.es NewQtyL.wattperkelvinpermeter NewQtyrem SolQtyApi r^*pi*rX**squaremeter SolQtyPlambdafracDelta Td pi r^LX*DTX/dX*AXW SolQtyQPF tPX*tXJ SolQtyQyQX*J Geg textEarthrightarrow r r Delta T DT d d lambda L t to t % GesHeatQ siJ % The area of the Earth's surface is al A AF piqtyr^ A. The heat flow through the outmost d is al varPhi J A PF L fracDTd pi qtyr^ P. % Thus the heat transferred in one day is al Q_ P t QF Pt Q and Q_ Qy in one year. % Q QF QyS Ausrufbox The calculated energy matches more or less the total primary energy contion of all humans on Earth in one year : It is around EJ i.e. eJ. Ausrufbox
The temperature within the Earth's crust increases about .degreeCelsius for each m of depth. The thermal conductivity of the crust is .wattperkelvinpermeter. Determine the heat transferred from the erior to the surface for the entire Earth in one year.
Solution:
NewQtyDT.K NewQtydm NewQtytod NewQtyt.es NewQtyL.wattperkelvinpermeter NewQtyrem SolQtyApi r^*pi*rX**squaremeter SolQtyPlambdafracDelta Td pi r^LX*DTX/dX*AXW SolQtyQPF tPX*tXJ SolQtyQyQX*J Geg textEarthrightarrow r r Delta T DT d d lambda L t to t % GesHeatQ siJ % The area of the Earth's surface is al A AF piqtyr^ A. The heat flow through the outmost d is al varPhi J A PF L fracDTd pi qtyr^ P. % Thus the heat transferred in one day is al Q_ P t QF Pt Q and Q_ Qy in one year. % Q QF QyS Ausrufbox The calculated energy matches more or less the total primary energy contion of all humans on Earth in one year : It is around EJ i.e. eJ. Ausrufbox
Meta Information
Exercise:
The temperature within the Earth's crust increases about .degreeCelsius for each m of depth. The thermal conductivity of the crust is .wattperkelvinpermeter. Determine the heat transferred from the erior to the surface for the entire Earth in one year.
Solution:
NewQtyDT.K NewQtydm NewQtytod NewQtyt.es NewQtyL.wattperkelvinpermeter NewQtyrem SolQtyApi r^*pi*rX**squaremeter SolQtyPlambdafracDelta Td pi r^LX*DTX/dX*AXW SolQtyQPF tPX*tXJ SolQtyQyQX*J Geg textEarthrightarrow r r Delta T DT d d lambda L t to t % GesHeatQ siJ % The area of the Earth's surface is al A AF piqtyr^ A. The heat flow through the outmost d is al varPhi J A PF L fracDTd pi qtyr^ P. % Thus the heat transferred in one day is al Q_ P t QF Pt Q and Q_ Qy in one year. % Q QF QyS Ausrufbox The calculated energy matches more or less the total primary energy contion of all humans on Earth in one year : It is around EJ i.e. eJ. Ausrufbox
The temperature within the Earth's crust increases about .degreeCelsius for each m of depth. The thermal conductivity of the crust is .wattperkelvinpermeter. Determine the heat transferred from the erior to the surface for the entire Earth in one year.
Solution:
NewQtyDT.K NewQtydm NewQtytod NewQtyt.es NewQtyL.wattperkelvinpermeter NewQtyrem SolQtyApi r^*pi*rX**squaremeter SolQtyPlambdafracDelta Td pi r^LX*DTX/dX*AXW SolQtyQPF tPX*tXJ SolQtyQyQX*J Geg textEarthrightarrow r r Delta T DT d d lambda L t to t % GesHeatQ siJ % The area of the Earth's surface is al A AF piqtyr^ A. The heat flow through the outmost d is al varPhi J A PF L fracDTd pi qtyr^ P. % Thus the heat transferred in one day is al Q_ P t QF Pt Q and Q_ Qy in one year. % Q QF QyS Ausrufbox The calculated energy matches more or less the total primary energy contion of all humans on Earth in one year : It is around EJ i.e. eJ. Ausrufbox
Contained in these collections
-
Wärmeleitung by pw
-
Wärmeleitung 2 by uz
-
Wärmetransport by aej
| Title | Matched on |
|---|---|
| Two rooms | formula |
| Body cooling | formula |
| Heat loss through window | tags |
| Wärmeverlust durch Glas | tags |
| Heat loss through windows | tags |
Similar exercises (6)
| Title | Matched on |
|---|---|
| Two rooms | formula |
| Body cooling | formula |
| Heat loss through window | tags |
| Wärmeverlust durch Glas | tags |
| Heat loss through windows | tags |
| Two rods | tags |