Inserting units into a range variable 2

[CoryPad]

I am using Mathcad 8.

I am trying to calculate a cylinder's mass as both diameter and length change.

I have defined the density as rho:= 7900 kg m^-3 by using Insert, Unit from the toolbar.

I have defined i:=1..8 and j:=1..9.

I have defined the diameter and length as range variables:

d[i:=0.020, 0.022, 0.025, 0.030, 0.040, 0.050, 0.075, 0.100

len[j:=0.002, 0.004, 0.007, 0.012, 0.020, 0.030, 0.050, 0.075, 0.100

I have defined mass[i,j:= [π]/4*d[i²*rho*len[j

The calculation provides a matrix of i rows and j columns with the correct numbers, but the units are kg/m³ because d and len do not have units assigned. I tried to insert the units in the defining equations and the mass equation, but I don't seem to know the proper syntax.

All help is appreciated.

Regards,

Cory

Please see FAQ731-376 for tips on how to make the best use of Eng-Tips Fora.

 

[rd78]

Cory,

A couple of possibilities ....

1. define the units with each entry i.e. 0.02m,0.022m, etc
2. after you have set up d and len, try multiplying by the units i.e. d:= d*m. Then each value of d will have the unit m.
3. I usually set these up in a matrix and multiply the matrix by the units.

Good Luck

rd78

 

[IRstuff]

Alternately, you can also define the ancillary vectors and the assign the units with something like:

d[i:d.unitless[i*m

TTFN

 

[CoryPad]

Thank you rd78 & IRstuff!

Regards,

Cory

Please see FAQ731-376 for tips on how to make the best use of Eng-Tips Fora.