Week - 1 - Consistency of Units
Aim- To convert the given SI unit values of given quantities to all different parameters & also to prepare a consistent unit system table for the different unit systems.
Objective-
- To convert the given values of the quantity to different systems of units.
- Prepare a table so that while performing the various challenges of LS Dyna it can be used frequently.
Procedure-
System of Units-
A system of units is a set of related units that are used for calculations. For example, in the MKS system, the base units are the meter, kilogram, and second, which represent the base dimensions of length, mass, and time, respectively. In this system, the unit of speed is the meter per second.
1 Kg = 1000 gm = 0.001 ton = 0.068 slug
1 m = 1000 mm = 100 cm = 3.28 ft
1 s = 1000 ms = 106 us
The parameters to which different units to be assigned are:
- Mass = 1kg
- Length = 1m
- Time = 1s
- Force = 1N
- Stress = 1 Pa
- Energy = 1 Nm
- Density = 1 Kg/m3
- Young’s Modulus = 210 GPa
- Velocity = 56.33 kmph
- Gravity = 9.88 m/s2
The units in which the different parameters are to be converted are as follows:
- Kg cm ms
- Kg cm s
- gm mm ms
- kg m s
- g cm s
- g cm us
- g mm s
- ton mm s
- slug ft s
- kg mm s
- g cm ms
- kg mm ms
1. Conversion of SI unit to kg cm ms
- Mass = 1 kg
1 kg
- Length = 1m
100 cm
- Time = 1 sec
1000 ms
- Force = 1 N
F => mass* acceleration
=> 1 kg * 1m/s^2
=> (1 kg*100cm)/(1000ms)2
=> 10-4 (kg*cm)/ms2
Conversion factor = 10-4
- Stress = 1 Pa
1 Pa => 1N/m^2
As from the above derived 1N = 10-4 (kg cm)/ms2
=> {10-4 (kg cm/ms2)} / (100 cm)2
=> 10-8 kg/cm ms2
Conversion factor = 10-8 kg/cm*ms2
- Energy = 1 Nm
- 1N *1 m
- {10-4 kg cm/ms2} * 100 cm
- 10-2 kg cm2/ms2
Conversion factor = 10-2
- Density = 1Kg/m^3
- 1 kg / (100 cm)3
- 1 kg/1000000 cm3
- 10-6 kg/cm3
Conversion factor = 10-6
- Young’s Modulus = 210 GPa
1 Pa = 10-8 kg/cm*ms2
1 GPa = 109 * 10-8 kg/cm*ms2
210 GPa = 210 * 10 kg/cm*ms2
Conversion factor = 10
- Velocity = 56.33 Kmph
Km/h
1Km = 100000 cm = 105 cm
1 hr = 60min*60sec*1000
= 3600000
= 36*105 ms
1 kmph
=> (105 )/(36*105)
=> 0.0277 cm/ms
Conversion factor = 0.0278
- Gravity = 9.88 m/s2
1 m/s2 = 100 cm/(1000ms)2
= 10 -4 cm/ms2
9.8 m/s2 = 9.8*10-4 cm/ms2
Conversion Factor = 10-4
2. Conversion of SI unit to kg cm s
- Mass = 1 kg
1 kg
- Length = 1m
100 cm
- Time = 1 sec
1 s
- Force = 1 N
F => mass* acceleration
=> 1 kg * 1m/s2
=> (1 kg*100cm)/(1s)2
=> 100 kg cm/s2
Conversion factor = 100
- Stress = 1 Pa
1 Pa => 1N/m2
As from the above derived 1N = 100 kg cm/s2
=> (100 kg cm/s2 )/ (100 cm)2
=> 10-2 kg/cm s2
Conversion factor = 10-2
- Energy = 1 Nm
- 1N *1 m
- 100 kg cm/s2 * 100 cm
- 104 kg cm2/s2
Conversion factor = 104
- Density = 1Kg/m^3
- 1 kg / (100 cm)3
- 1 kg/10000 cm3
- 10-6 kg/cm3
Conversion factor = 10-6
- Young’s Modulus = 210 GPa
1 Pa = 10-2 kg/cm s2
1 GPa = 109 * 10-2 kg/cm s2
210 GPa = 210 * 107 kg/cm*s2
Conversion factor = 107
- Velocity = 56.33 Kmph
Km/h
1Km = 100000 cm = 105 cm
1 hr = 60min*60sec
= 3600
= 3600 s
1 kmph
=> (105 )/(3600)
=> 27.77 cm/s
Conversion factor = 27.77
- Gravity = 9.88 m/s2
1 m/s2 = 100 cm/(1s)2
= 100 cm/s2
Conversion Factor = 100
3. Conversion of SI unit to gm mm ms
- Mass = 1 kg
1000gm
- Length = 1m
1000 mm
- Time = 1 sec
1000 ms
- Force = 1 N
F => mass* acceleration
=> 1 kg * 1m/s^2
=> (1000gm*1000mm)/(1000ms)^2
=> 1 (gm*mm)/ms^2
Conversion Factor = 1
- Stress = 1 Pa
1 Pa => 1N/m^2
As from the above derived 1N = 1(gm*mm/ms^2)
=> {1 (gm*mm/ms^2)} / (1000mm^2)
=> 1*10^-6 gm/mm*ms^2
Conversion factor = 10-6
- Energy = 1 Nm
- 1N *1 m
- {1 gm*mm/ms^2} * 1000 mm
- 1000 gm*mm^2/ms^2
- 10^3 gm mm^2/ms^2
Conversion factor = 103
- Density = 1Kg/m^3
- 1000 gm / (1000 mm)^3
- 1 gm/1000000 mm^3
- 10^-6 gm/mm^3
Conversion factor = 10-6
- Young’s Modulus = 210 GPa
1 Pa = 10-6 gm/mm ms2
1 GPa = 109 * 10 -6 gm/mm ms2
210 GPa = 210 * 103 gm/mm ms2
Conversion factor = 103
- Velocity = 56.33 Kmph
Km/h
1Km = 1000000 mm = 106 mm
1 hr = 60min*60sec*1000
= 3600000
= 36*105 ms
1 kmph
=> (106 )/(36*105)
=> 0.277 mm/ms
Conversion factor = 0.278
- Gravity = 9.88 m/s^2
1 m/s2 = 1000mm/(1000ms)2
= 10 -3 mm/ms2
9.8 m/s2 = 9.8*10-3 mm/ms2
Conversion factor = 10-3
4. Conversion of SI unit to kg m s
- Mass = 1 kg
1 kg
- Length = 1m
1 m
- Time = 1 sec
1 s
- Force = 1 N
F => mass* acceleration
=> 1 kg * 1m/s2
=> (1 kg*1m)/(1s)2
=> 1 kg m/s2
Conversion factor = 1
- Stress = 1 Pa
1 Pa => 1N/m2
As from the above derived 1N = 1 kg m/s2
=> (1 kg m/s2) / (1 m)2
=> 1 kg/m s2
Conversion factor = 1
- Energy = 1 Nm
- 1N *1 m
- 1 kg m/s2 * 1 m
- 1 kg m2/s2
Conversion factor = 1
- Density = 1Kg/m^3
- 1 kg / (1 m)3
- 1 kg/1 m3
- 1 kg/m3
Conversion factor = 1
- Young’s Modulus = 210 GPa
1 Pa = 1 kg/m s2
1 GPa = 109 * 1 kg/m s2
210 GPa = 210 * 109 kg/m s2
Conversion factor = 109
- Velocity = 56.33 Kmph
Km/h
1Km = 1000 m = 103 m
1 hr = 60min*60sec
= 3600 s
1 kmph
=> (103 )/(3600)
=> 0.277 m/s
Conversion factor = 0.277
- Gravity = 9.88 m/s2
1 m/s2 = 1 m/(1s)2
= 1 m/s2
9.8 m/s2 = 9.8*1 m/s2
Conversion Factor = 1
5. Conversion of SI unit to g cm s
- Mass = 1 kg
1000gm
- Length = 1m
100 cm
- Time = 1 sec
1 s
- Force = 1 N
F => mass* acceleration
=> 1000 g * 1m/s2
=> (1000 g*100cm)/(1s)2
=> 105 g cm/s2
Conversion factor = 105
- Stress = 1 Pa
1 Pa => 1N/m2
As from the above derived 1N = 105 g cm/s2
=> 105 g cm/s2/ (100 cm)2
=> 10 g/cm s2
Conversion factor = 10
- Energy = 1 Nm
- 1N *1 m
- 105 g cm/s2 * 100 cm
- 107 g cm2/s2
Conversion factor = 107
- Density = 1Kg/m^3
- 1000 g / (100 cm)3
- 1000 g/1000000 cm3
- 10-3 g/cm3
Conversion factor = 10-3
- Young’s Modulus = 210 GPa
1 Pa = 10 g/cm s2
1 GPa = 109 * 10 g/cm s2
210 GPa = 210 * 1010 g/cm s2
Conversion factor = 1010
- Velocity = 56.33 Kmph
Km/h
1Km = 100000 cm = 105 cm
1 hr = 60min*60sec
= 3600
= 3600 s
1 kmph
=> (105 )/(3600)
=> 27.77 cm/s
Conversion factor = 27.77
- Gravity = 9.88 m/s2
1 m/s2 = 100 cm/(1s)2
= 100 cm/s2
9.8 m/s2 = 9.8*100 cm/s2
Conversion Factor = 100
6. Conversion of SI unit to g cm us(micro-sec)
- Mass = 1 kg
1000 gm
- Length = 1m
100 cm
- Time = 1 sec
106 us
- Force = 1 N
F => mass* acceleration
=> 1000 g * 100 cm/(106 us)2
=> (1000 g*100 cm)/(106us)2
=> 10-7 g cm/us2
Conversion factor = 10-7
- Stress = 1 Pa
1 Pa => 1N/m2
As from the above derived 1N = 10-7 g cm/us2
=> 10-7 g cm/us2/ (100 cm)2
=> 10-11 g/cm us2
Conversion factor = 10-11
- Energy = 1 Nm
- 1N *1 m
- 10-7 g cm/us2 * 100 cm
- 10-5 g cm2/us2
Conversion factor = 10-5
- Density = 1Kg/m^3
- 1000 g / (100 cm)3
- 1000 g/1000000 cm3
- 10-3 g/cm3
Conversion factor = 10-3
- Young’s Modulus = 210 GPa
1 Pa =10-11 g/cm us2
1 GPa = 109 * 10-11 g/cm us2
210 GPa = 210 * 10-2 g/cm us2
Conversion factor = 10-2
- Velocity = 56.33 Kmph
Km/h
1Km = 10000 cm = 105 cm
1 hr = 60min*60sec*106 us
= 36*108 us
= 36* 108 us
1 kmph
=> (105 )/(36*108)
=> 0.0000278 cm/ us
Conversion factor = 0.0000278
- Gravity = 9.88 m/s2
1 m/s2 = 100 cm/(106 us)2
= 100 cm/ 1012 us2
9.8 m/s2 = 9.8*10-10 cm/us2
Conversion Factor = 10-10
7. Conversion of SI unit to g mm s
- Mass = 1 kg
1000 gm
- Length = 1m
1000 mm
- Time = 1 sec
1 s
- Force = 1 N
F => mass* acceleration
=> 1000 g * 1m/s2
=> (1000 g*1000 mm)/(1s)2
=> 106 g mm/s2
Conversion factor = 106
- Stress = 1 Pa
1 Pa => 1N/m2
As from the above derived 1N = 106 g mm/s2
=> (106 g mm/s2 ) /(1000 mm)2
=> 1 g/mm s2
Conversion factor = 1
- Energy = 1 Nm
- 1N *1 m
- 106 g mm/s2 * 1000 mm
- 109 g mm2/s2
Conversion factor = 109
- Density = 1Kg/m^3
- 1000 g / (1000 mm)3
- 1000 g/1000000000 mm3
- 10-6 g/mm3
Conversion factor = 10-6
- Young’s Modulus = 210 GPa
1 Pa = 1 g/mm s2
1 GPa = 109 * 1 g/mm s2
210 GPa = 210 * 109 g/mm s2
Conversion factor = 109
- Velocity = 56.33 Kmph
Km/h
1Km = 1000000 mm = 106 mm
1 hr = 60min*60sec
= 3600
= 3600 s
1 kmph
=> (106 )/(3600)
=> 277.7 mm/s
Conversion factor = 277.78
- Gravity = 9.88 m/s2
1 m/s2 = 1000 mm/(1s)2
= 1000 mm/s2
9.8 m/s2 = 9.8*1000 mm/s2
Conversion Factor = 103
8. Conversion of SI unit to ton mm s
- Mass = 1 kg
0.001 ton
- Length = 1m
1000 mm
- Time = 1 sec
1 s
- Force = 1 N
F => mass* acceleration
=> 0.001 ton * 1m/s^2
=> (0.001 ton *1000 mm)/(1s)2
=> 1 ton mm/s2
Conversion factor = 1
- Stress = 1 Pa
1 Pa => 1N/m^2
As from the above derived 1N = 10-6 (ton mm)/s2
=> {1 ton mm/s2} / (1000 mm)2
=> 10-6 ton/mm s2
Conversion factor = 10-6
- Energy = 1 Nm
- 1N *1 m
- {1 (ton mm)/s2} * 1000 mm
- 103 ton mm2/s2
Conversion factor = 103
- Density = 1Kg/m^3
- 0.001 ton / (1000 mm)3
- 0.001 ton/1000000000 mm3
- 10-12 ton/mm3
Conversion factor = 10-12
- Young’s Modulus = 210 GPa
1 Pa = 10-6 ton/mm s2
1 GPa = 109 * 10-6 ton/mm s2
210 GPa = 210 * 103 ton/mm s2
Conversion factor = 103
- Velocity = 56.33 Kmph
Km/h
1Km = 1000000 mm = 106 mm
1 hr = 60min*60sec
= 3600
= 3600 s
1 kmph
=> (106 )/(3600)
=> 277.78 mm/s
Conversion factor = 277.78
- Gravity = 9.88 m/s2
1 m/s2 = 1000 mm/(1 s)2
= 10 3 mm/s2
9.8 m/s2 = 9.8*103 mm/s2
Conversion Factor = 103
9. Conversion of SI unit to slug ft s
- Mass = 1 kg
0.068 slug
- Length = 1m
3.28 ft
- Time = 1 sec
1 s
- Force = 1 N
F => mass* acceleration
=> 1 kg * 1m/s2
=> (0.068 slug*3.28 ft)/(1s)2
=> 0.223 slug ft/s2
Conversion factor = 0.223
- Stress = 1 Pa
1 Pa => 1N/m2
As from the above derived 1N = 0.223 slug ft/s2
=> 0.223 slug ft/s2 / (3.28 ft)2
=> 0.0207 slug/ft s2
Conversion factor = 0.0207
- Energy = 1 Nm
- 1N *1 m
- 0.223 slug ft/s2 * 3.28 ft
- 0.732 slug ft2/s2
Conversion factor = 0.732
- Density = 1Kg/m^3
- 1 kg / (1 m)3
- 0.068 slug/(3.28 ft)3
- 0.068 slug/ 35.29 ft3
- 0.0019 slug/ft3
Conversion factor = 0.0019
- Young’s Modulus = 210 GPa
1 Pa = 0.0207 slug/ft s2
1 GPa = 109 * 0.0207 slug/ft s2
210 GPa = 210 * 109 * 0.0207 slug/ft s2
210 GPa = 207*105 slug/ft s2
Conversion factor = 207*105
- Velocity = 56.33 Kmph
Km/h
1Km = 1000 m = 103 m = 103 * 3.28 ft
1 hr = 60min*60sec
= 3600 s
1 kmph
=> (3.28*103 ft)/(3600 s)
=> 0.911 ft/s
Conversion factor =0.911
- Gravity = 9.88 m/s2
1 m/s2 = 3.28 ft/(1s)2
= 3.28 ft/s2
9.8 m/s2 = 9.8*3.28 ft/s2 = 32.14 ft/s2
Conversion Factor = 3.28
10. Conversion of SI unit to kg mm s
- Mass = 1 kg
1 kg
- Length = 1m
1000 mm
- Time = 1 sec
1 s
- Force = 1 N
F => mass* acceleration
=> 1 kg * 1m/s2
=> (1 kg*1000 mm)/(1s)2
=> 103 kg mm/s2
Conversion factor = 103
- Stress = 1 Pa
1 Pa => 1N/m2
As from the above derived 1N = 1000 kg mm/s2
=> (1000 kg mm/s2 )/ (1000 mm)2
=> 10-3 kg/mm s2
Conversion factor = 10-3
- Energy = 1 Nm
- 1N *1 m
- 1000 kg mm/s2 * 1000 mm
- 106 kg mm2/s2
Conversion factor = 106
- Density = 1Kg/m^3
- 1 kg / (1000 mm)3
- 1 kg/1000000000 mm3
- 10-9 kg/mm3
Conversion factor = 10-9
- Young’s Modulus = 210 GPa
1 Pa = 10-3 kg/mm s2
1 GPa = 109 * 10-3 kg/mm s2
210 GPa = 210 * 106 kg/mm s2
Conversion factor = 106
- Velocity = 56.33 Kmph
Km/h
1Km = 1000000 mm = 106 mm
1 hr = 60min*60sec
= 3600
= 3600 s
1 kmph
=> (106 )/(3600)
=> 277.78 mm/s
Conversion factor = 277.78
- Gravity = 9.88 m/s2
1 m/s2 = 1000 mm/(1s)2
= 1000 mm/s2
9.8 m/s2 = 9.8*1000 mm/s2
Conversion Factor = 103
11. Conversion of SI unit to g cm ms
- Mass = 1 kg
1000gm
- Length = 1m
100 cm
- Time = 1 sec
1000 ms
- Force = 1 N
F => mass* acceleration
=> 1000 g * 1m/s2
=> (1000 g*100cm)/(1000 ms)2
=> 10-1 g cm/ms2
Conversion factor = 10-1
- Stress = 1 Pa
1 Pa => 1N/m2
As from the above derived 1N = 10-1 g cm/ms2
=> 10-1 g cm/ms2 / (100 cm)2
=> 10-5 g/cm ms2
Conversion factor = 10-5
- Energy = 1 Nm
- 1N *1 m
- 10-1 g cm/ms2 * 100 cm
- 10 g cm2/ms2
Conversion factor = 10
- Density = 1Kg/m^3
- 1000 g / (100 cm)3
- 1000 g/1000000 cm3
- 10-3 g/cm3
Conversion factor = 10-3
- Young’s Modulus = 210 GPa
1 Pa = 10-5 g/cm ms2
1 GPa = 109 * 10-5 g/cm ms2
210 GPa = 210 * 104 g/cm ms2
Conversion factor = 104
- Velocity = 56.33 Kmph
Km/h
1Km = 10000 cm = 105 cm
1 hr = 60min*60sec*1000
= 36*105 ms
= 36*105 ms
1 kmph
=> (105 cm)/( 36*105 ms)
=> 0.0278 cm/ms
Conversion factor = 0.0278
- Gravity = 9.88 m/s2
1 m/s2 = 100 cm/(1000 ms)2
= 10-4 cm/ms2
9.8 m/s2 = 9.8*10-4 cm/ms2
Conversion Factor = 10-4
12. Conversion of SI unit to kg mm ms
- Mass = 1 kg
1 kg
- Length = 1m
1000 mm
- Time = 1 sec
1000 ms
- Force = 1 N
F => mass* acceleration
=> 1 kg * 1m/s^2
=> (1 kg*1000 mm)/(1000ms)2
=> 10-3 (kg*mm)/ms2
Conversion factor = 10-3
- Stress = 1 Pa
1 Pa => 1N/m^2
As from the above derived 1N = 10-3 (kg*mm)/ms2
=> {10-3 (kg*mm)/ms2} / (1000 mm)2
=> 10-9 kg/mm ms2
Conversion factor = 10-9
- Energy = 1 Nm
- 1N *1 m
- {10-3 (kg mm)/ms2} * 1000 mm
- 1 kg mm2/ms2
- 1 kg mm2/ms2
Conversion factor = 1
- Density = 1Kg/m^3
- 1 kg / (1000 mm)3
- 1 kg/1000000000 mm3
- 10-9 kg/mm3
Conversion factor = 10-9
- Young’s Modulus = 210 GPa
1 Pa = 10-9 kg/mm ms2
1 GPa = 109 * 10-9 kg/mm ms2
210 GPa = 210 * 1 kg/mm ms2
Conversion factor = 1
- Velocity = 56.33 Kmph
Km/h
1Km = 1000000 mm = 106 mm
1 hr = 60min*60sec*1000
= 3600000
= 36*105 ms
1 kmph
=> (106 )/(36*105)
=> 0.278 mm/ms
Conversion factor = 0.278
- Gravity = 9.88 m/s2
1 m/s2 = 1000 mm/(1000 ms)2
= 10 -3 mm/ms2
9.8 m/s2 = 9.8*10-3 mm/ms2
Conversion Factor = 10-3
Comparision Table-
|
Unit |
Mass |
Length |
Time |
Force |
Stress |
Energy |
Density |
Young’s modulus |
Velocity 56.33 kmph |
Gravity |
|
Kg m s |
1 kg |
1 m |
1 s |
1 N = 1 kgm/s2 |
1 Pa = 1 kg/ m s2 |
1 J = 1 Nm= 1 kg m2 /s2 |
1 kg/m3 |
210 GPa= 210 e9 kg/m s2 |
15.647 m/s |
9.8 m/s2 |
|
Kg cm ms |
1 kg |
100 cm |
1000 ms |
10-4 kg cm/ms2 |
10-8 kg/cm ms2 |
10-2 kg cm2/ms2 |
10-6 kg/cm3 |
210*10 Kg/cm ms2 |
1.566 cm/ms |
9.8*10-4 cm/ms2 |
|
Kg cm s |
1 kg |
100 cm |
1 s |
102 kg cm/s2 |
10-2 kg/cm s2 |
104 kg cm2/s2 |
10-6 kg/cm3 |
210* 10 e+7 kg/cm s2 |
1564.84 cm/s |
9.8*102 cm/s2 |
|
gm mm ms |
1000 gm |
1000 mm |
1000 ms |
1 g mm/ms2 |
10-6 gm/mm ms2 |
103 gm mm2/ms2 |
10-6 gm/mm3 |
210*10e3 gm/mm ms2 |
15.66 mm/ms |
9.8*10-3 mm/ms2 |
|
gm cm s |
1000 gm |
100 cm |
1 s |
105 gm cm/s2 |
10 gm/cm s2 |
107 gm cm2/s2 |
10-3 gm/cm3 |
210*10e10 gm/cm s2 |
1564.84 cm/s |
9.8*102 cm/s2 |
|
gm cm us |
1000 gm |
100 cm |
106 us |
10-7 gm cm/us2 |
10-11 gm/cm us2 |
10-5 gm cm2/us2 |
10-3 gm/cm3 |
210*10e-2 gm/cm us2 |
15.66*10-4 cm/us |
9.8*10-10 cm/us2 |
|
gm mm s |
1000 gm |
1000 mm |
1 s |
106 gm mm/s2 |
1 gm/mm s2 |
109 gm mm2/s2 |
10-6 gm/mm3 |
210*10e9 gm/mm s2 |
15647 mm/s |
9.8*103 mm/s2 |
|
Ton mm s |
10-3 ton |
1000 mm |
1 s |
1 ton mm/s2 |
10-6 ton/mm s2 |
103 ton mm/s2 |
10-12 ton/mm3 |
210*10e3 ton/mm s2 |
15647 mm/s |
9.8*103 mm/s2 |
|
Slug ft s |
0.068 slug |
3.28 ft |
1 s |
0.2223 slug ft/s2 |
0.0207 slug/ft s2 |
0.732 slug ft/s2 |
1.93*10-3 slug/ft3 |
210*207*10e-5 slug/ft s2 |
51.26 ft/s |
9.8*3.28 ft/s2 |
|
Kg mm s |
1 kg |
1000 mm |
1 s |
103 kg mm/s2 |
10-3 kg/mm s2 |
106 kg mm/s2 |
10-9 kg/mm3 |
210*10e6 kg/mm s2 |
15647 mm/s |
9.8*103 mm/s2 |
|
gm cm ms |
1000 gm |
100 cm |
1000 ms |
10-1 gm cm/ms2 |
10-5 gm/cm ms2 |
10 gm cm/ms2 |
10-3 gm/cm3 |
210*10e4 gm/cm ms2 |
1.566 cm/ms |
9.8*10-4 cm/ms2 |
|
Kg mm ms |
1 kg |
1000 mm |
1000 ms |
10-3 kg mm/ms2 |
10-9 kg/mm ms2 |
1 kg mm/ms2 |
10-9 kg/mm3 |
210 kg/mm ms2 |
15.66 mm/ms |
9.8*10-3 mm/ms2 |
Conclusion-
- Converted the given quantities (such as Mass, Length & Time, etc) within the "SI" system of units into the required system of units.
- The result table is created.