Items tagged with units

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Hi,

Although i can evaluate speed, displacement and accelleration, i can't plot these functions.

The error message is:

What am i doing wrong in my definitions?

Thank you in advance.


 

"with(Units[Simple]):"

v := proc (t) options operator, arrow; Units:-Simple:-`*`(Units:-Simple:-`*`(Units:-Simple:-tanh(Units:-Simple:-`*`(Units:-Simple:-`+`(Units:-Simple:-`*`(Units:-Simple:-`*`(t, Units:-Simple:-sqrt(F)), Units:-Simple:-sqrt(c)), Units:-Simple:-`*`(Units:-Simple:-arctanh(Units:-Simple:-`*`(Units:-Simple:-`*`(v__0, Units:-Simple:-sqrt(c)), Units:-Simple:-`/`(Units:-Simple:-sqrt(F)))), m__0)), Units:-Simple:-`/`(m__0))), Units:-Simple:-sqrt(F)), Units:-Simple:-`/`(Units:-Simple:-sqrt(c))) end proc:

NULL

NULL

NULL

F := 2800.0*Unit('N')

 

c := .7*Unit('kg'/'m') 

 

m__0 := 1400*Unit('kg') 

NULL

v__0 := 10*Unit('m'/'s')

v__e := v(120*Unit('s')) 

t__0 := 0*Unit('s')

``

``

v__e = 63.19906538*Units:-Unit(m/s)"(->)"63.199*Units:-Unit(m/s)

NULL

``

a := proc (t) options operator, arrow; Units:-Simple:-`*`(Units:-Simple:-`*`(F, Units:-Simple:-`+`(1, Units:-Simple:-`-`(Units:-Simple:-`^`(Units:-Simple:-tanh(Units:-Simple:-`*`(Units:-Simple:-`+`(Units:-Simple:-`*`(Units:-Simple:-`*`(t, Units:-Simple:-sqrt(F)), Units:-Simple:-sqrt(c)), Units:-Simple:-`*`(Units:-Simple:-arctanh(Units:-Simple:-`*`(Units:-Simple:-`*`(v__0, Units:-Simple:-sqrt(c)), Units:-Simple:-`/`(Units:-Simple:-sqrt(F)))), m__0)), Units:-Simple:-`/`(m__0))), 2)))), Units:-Simple:-`/`(m__0)) end proc:

NULL

a__e := a(120*Unit('s'))

NULL

a__e = 0.2939066600e-2*Units:-Unit(m/s^2)"(->)"0.29391e-2*Units:-Unit(m/s^2)

``

"`s__a`(t):=(∫)[`t__0`]^t(tanh((tau sqrt(F) sqrt(c)+arctanh((`v__0` sqrt(c))/(sqrt(F))) `m__0`)/`m__0`) sqrt(F))/(sqrt(c)) ⅆtau:"

NULL

s__e := s__a(120*Unit('s'))

NULL

s__e = 6497.492630*Units:-Unit(m)"(->)"6497.5*Units:-Unit(m)

NULLNULL

 

v(2*Unit('s')) = 13.85629668*Units:-Unit(m/s)"(->)"13.856*Units:-Unit(m/s)

NULL

NULL

"Z(t):=[[[`s__a`(t)],[v(t)],[a(t)]]]:"

NULL

Vektor für Weg, Geschwindigkeit und Beschleunigung:

``

Z(120*Unit('s')) = Matrix(%id = 4626704194)NULL

NULL

NULL

v(t)"->"

NULL

NULL

NULL

NULL

NULL

NULL

NULL

``

NULL

NULL


 

Download Berechnungen.mw

Hi!

I have solved an ODE and defined some physical values with Units.

Now i want to calculate the speed at a time of 120s for example, but the evalustion does not show a result.

I want to have a result like ve=63m/s for example and  not ve=v(120s)

Further more if calculating the complete worksheet, the diagramm settings are set to default and i can not see the curve like before. Is there a way to keep user defined settings?

Has somebody an idea what's going wrong?

Calculating completely without units works.

Thank you in advance

Volker
 

"v(t):=(tanh((t sqrt(F) sqrt(c)+arctanh((`v__0` sqrt(c))/(sqrt(F))) `m__0`)/`m__0`) sqrt(F))/(sqrt(c))"proc (t) options operator, arrow; tanh((t*sqrt(F)*sqrt(c)+arctanh(v__0*sqrt(c)/sqrt(F))*m__0)/m__0)*sqrt(F)/sqrt(c) end procNULL

F := 2800Unit('N') = 2800NULL

 

c := .7*Unit('kg'/'m') = .7*Units:-Unit(kg/m)NULL

 

m__0 := 1400*Unit('kg')= 1400*Units:-Unit(kg)NULL

NULL

v__0 := 10*Unit('m'/'s')

10*Units:-Unit(m/s)

(1)

v(t)"->"

v__e := v(120*Unit('s'))

``

``

v__e = v(120*Units:-Unit(s))NULL

``


 

Download Berechnungen.mw

 

Hi everybody,

 

I want to plot many curves in the form of a table.

For instance, let    p := plot(x, x=0..1, labels=[x*Unit('m'), y*Unit('m')]):

The command   plots:-display(p)  returns a plot  with labels x [[m]] and y [[m]], just as expected.

But the commands (remember I have several plots)
                             plots:-display(<p>);                              # and the generalization plots:-display(<p | p>)
                             DocumentTools:-Tabulate([p]);           # and the generalizationDocumentTools:-Tabulate([p,p])
both provide labels  x Units:-Unit('m') and  y Units:-Unit('m')

Is there a way to fix this and obtain plots withe the expected labels ?

Thank to all of you for yout help

I am trying to use the element properties Maple has in its ScientificConstants package. I am running into problems with the density of gaseous elements:

with(ScientificConstants);

Units:-UsingSystem(); # returns SI as expected

GetValue(Element('Si',density)); # returns 2329.0000 [kg/m^3] which is 2.329 g/cm^3, which is correct

GetValue(Element('H',density(gas))); # returns 88 [kg/m^3], which is incorrect.

PDG gives the density of hydrogen as 8.376E-5 g/cm^3, which is 0.08376 kg/m^3.  

Even more crazy for Krypton:

GetValue(Element('Kr',density(gas))); # returns 3677.000 [kg/m^3]. Heavy little buggers, these Kypton atoms! Should be 3.486 in the same units.

What gives? Am I missing something here?

Mac Dude

 

 

I am new to Maple and I am trying to add units to the "Flow Through an Expansion Valve" Application Demonstration.  I was trying pressure in [PSI], temperature in [degC] and flow rate in [kg/hour] everything else in SI units.  I included with(Units:-Standard) but had no luck with the fsolve function.

Any chance someone could make a version of this demonstration applicaton that includes units?

 

Thanks

 

Hello,

how can I tell Maple that "u" has the dimension of volts? 

Thanks for every good advice.

 

Not to long ago i found a post showing that maple was able to show the steps behind math.

example:

twostep:=proc(expr::uneval)
   (convert(expr,name) =
    subsindets(expr,And(name,satisfies(t->type(eval(t),constant))),
               z->convert(eval(z),name)))
   = eval(expr):
end proc:

a:=1:
b:=3:
c:=5:

h:=twostep(a+b*c);

                     (a+b*c = 1 + 3*5) = 16

However if I assign a unit to any of these numbers (a,b or c), the twostep code won't work.

Is there any way that maple can show the steps, while having it both show and convert the units?

example:

a:=70V:

b:=40Ohm:   (I can't insert the Omega sign)

c:= twostep(a/b);

                (a/b=70V/40Ohm) = 1,75A

Hello,

I was wondering if it is possible to use units in Maple so I can always check if the result I have at the end of calculation is the meter.  For example:

>c:=3e8m/s
>Ec:=1J
>Ec*c

The answer is of course 3.10^8 m^3*kg/s^3

I try to do something with the units but I am unable to crreate something that will simplify the m/s ffactor to 1.

Any idea?

Thank you in advance for your help.

 

Funny, I can't seem to find a list of all available units in the help file.

Is there not a listed table of units somewhere?

**edit add**  conversion of units I mean.  ie.  meters, miles, gallons, litres, Pa, etc...

Im attempting some very basic calculations where numbers are stored in variables with correct units. However i wish to take a variable to the power 2 without altering it's unit. This is a really easy but strange calculation to make which is why i guess Maple is having trouble with it. 

e.g. I have a variable A with a number 4 stored inside with unit in Meters. I want to take A2 = 16 meters and and not A2 = 16 meters2

Is there a function or way to select the base number without having to write an entire line about it? 

convert(A,'unit_free')^(2)*Unit('m')

can do the trick but i believe there has to be an easier, less complicated, way to achieve this? 

Hallo,

im currently using Mathcad 15 and i want to change to a newer and better software with more possibilities.

But up to now i have not found a better software for calculating. One big advantage with mathcad is the possibilitie of symbolic formula input and calculation with units.

Now my question: Is it possible with Maple to write symbolic formulas (2D Structure of big formulas)

I dont write a formula in one row. Its nearly impossible ...

And can i calculate with units?

Thx Stefan

 

Hi there,

I was wondering how to define the unit of an unspecified function. Here is what I want to do:

Say I have the coordinates of a Point in 1D-Space denoted by an unknown function x(t). While this function depends on time t the value of this function is supposed to be of SI Unit meter.

When calculating diff(x(t),t) I would like to get something like (absolut derivative of x(t)) * Unit(m/s).

So how do i tell maple that x(t) is something like f: time -> meter?
Also: How to specify that t has unit second without breaking the diff() command?

Any help would be greatly appreciated.

Regards

Zorg

I tried to generate a simple plot based on an expression using units. Please see the screenshot of the worksheet below

The y-axis should be scaled in m3 not m2 because a, b and the variable r are in m. I know that it is possible to enforce the axis scaling in units using useunits but since the mathematical definition of the expression is clear this should not be necessary.

The other question is why is the y-axis missing the variable name? On this page on the Online Help http://www.maplesoft.com/support/help/Maple/view.aspx?path=MaplePortal/UnitsInPlots it is mentioned "When you plot an expression, the axes labeling shows the variable names and units." I think what I am plotting is an expression.

 

I understand that if I want to use a scientific constant in a Maple worksheet or document, I first have to declare it. Here is an example for the speed of light:

However if this worksheet is re-executed (e.g. using !!!) this happens:

Obviously there is a kind of recursion for c which is listed in the Variable Palette as a name for a variable but which is also the scientific constant. The problem can be solved e.g. by associating another name to the constant and unassigning the old definition in the Variable Palette:

This works but it makes the document harder to read since everybody is used to lowercase c for the speed of light. The same is of course true for other scientific constants.

Is there a way to use scientific constants in their "usual" notation in Maple, including using the unit of the constant?

When using units, then e.g. "2 m" is show as expected below, but "1 m" shown as only "m".  Even through correct, it is a non-standard way to write physical values.

How to get the physical values in a format of "{numerical} {unit}" even when the numerical part is 1?

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