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Question: A few queries on using units

Question:A few queries on using units

Ronan 1022 Maple 2019
units
June 12 2020
0

I am experimenting with using units especially for when there are awkard conversion factors. 

The document is for motor gearbox torques inertia ration and frequency.

I have documented my specific questions in the worksheet.

I am interested is see different ways of setting this up. Like I would rather setup the formulas at the start, then supply figures.


 

restart

``

with(Units[Natural])

UseSystem('SI')

UseSystem(SI)

 (1)

Can I set the units for mass, accel, etc. so I don't have to re enter the default units if I change the figures later?

``

Mass := 3000*'kg'

3000*Units:-Unit(kg)

 (2)

Accel := 1.5*'m'/'s'^2

1.5*Units:-Unit(m/s^2)

 (3)

Rat := 5

5

 (4)

``

Radius := (1/2)*(0.8282e-1-0.6e-2)*'m'

0.3841000000e-1*Units:-Unit(m)

 (5)

Torque := Mass*Accel*Radius

172.8450000*Units:-Unit(J)

 (6)

````

MotorTorque := Torque/Rat

34.56900000*Units:-Unit(J)

 (7)

Jload := Mass*Radius^2

4.425984300*Units:-Unit(kg*m^2)

 (8)

Jmtr := 1.42*10^(-2)*'kg'*'m'^2

0.1420000000e-1*Units:-Unit(kg*m^2)

 (9)

Parse:-ConvertTo1D, "first argument to _Inert_ASSIGN must be assignable"

12.46756141

 (10)

stiff := convert(48, 'units', 'N'*'m(radius)'/'arcmin', 'N'*'m(rarius)'/'rad', 'symbolic')

518400/Pi

 (11)

/rad

518400/Pi

 (12)

"(->)"

0.16501e6

 (13)

``

Freq := sqrt(stiff/Jload)/(2*Pi)/s   i.e. Hertz

30.73072153*Units:-Unit(1/(kg^(1/2)*m))

 (14)

stiff := 4567

4567

 (15)

Freq

30.73072153*Units:-Unit(1/(kg^(1/2)*m))

 (16)

``


 

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