Hi, this is junior school math but what is the best way to obtain any value from a set of data like below? Can this be done on SMath?



The aim is to obtain alpha and beta values from any intermediary values of H/L or H/l.

Thanks,

You can use interpolation functions for that.
There are three different interpolation functions.
Your data seems to be lineear according to values.
Here is a demonstration of interpolation plots.
I also added functions to find β and α.

Regards

interpolation.sm (138 KiB) downloaded 35 time(s).

Page7 Unknown.sm (90 KiB) downloaded 27 time(s).

Possibly, there is a model ▼ function for these two
A tank that has length 'L' has diameter as well.
You can only measure level from [0...1] empty/full.
That's what alpha/beta seem to represent.
If so, the system is the segment approximation.
This problem is solved in Smath 5 decimals [Tema, Perry]
The Smath document ignores the ends. You can roughly add.
Please, acknowledge for eventual completion of the project.
Cheers ... Jean.

Wrote

You can use interpolation functions for that.
There are three different interpolation functions.
Your data seems to be linear according to values.
Here is a demonstration of interpolation plots.
I also added functions to find β and α.

Regards

interpolation.sm (138 KiB) downloaded 35 time(s).

Thank you, Overlord. Much appreciated.

Tim

Wrote

Possibly, there is a model ▼ function for these two
A tank that has length 'L' has diameter as well.
You can only measure level from [0...1] empty/full.
That's what alpha/beta seem to represent.
If so, the system is the segment approximation.
This problem is solved in Smath 5 decimals [Tema, Perry]
The Smath document ignores the ends. You can roughly add.
Please, acknowledge for eventual completion of the project.
Cheers ... Jean.

Thank you, Jean. "L" does not represent diameter. This table is for a rectangular tank design.

Tim

Wrote

Thank you, Jean. "L" does not represent diameter. This table is for a rectangular tank design.
Tim

Obviously the data confirm the tank is not circular.
It may not be pure rectangular either vs deformation.
For + contribution, please don't hesitate.
Jean

Wrote

It may not be pure rectangular either vs deformation.

There is a golden phrase for engineers:

When something is minor effecting overall outcome,
That condition/subject/aspect is negligible.

Wrote

Obviously the data confirm the tank is not circular.
It may not be pure rectangular either vs deformation.
For contribution, please don't hesitate.
Jean

Page2 Table.sm (129 KiB) downloaded 27 time(s).

Page3 Table.sm (54 KiB) downloaded 17 time(s).