Week - 1 - Consistency of Units
Aim:
Write a detailed report of unit conversion because of Different industries use different system of units as per their convenience. For example, automotive industries use kg,mm,ms as their standard unit system. Construction industries are likely to use tonne,m,s as their unit system. Similarly, PCB simulation in electronic industry uses gm, micrometer,ms as their system of units.
Objective:
The main object of this challenge convert value in different unit system, which deal with LS-Dyna.
Value of the following measurements are given as follows:
MASS 1kg
LENGTH 1m
TIME 1s
FORCE 1N
STRESS 1Pa
ENERGY 1Nm
DENSITY 1Kg/m3
YOUNG'S Modulus 210GPa
Velocity 56.33KMPH
GRAVITY 9.8m/s2
Below are some units convert the above parameters to below units
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
Report:
1.Conversion of given SI unit to Kg,cm,ms
- Mass = 1 Kg The conversion factor is 1
- Length= 1m = 100cm The conversion factor is 100
- Time= 1s = 1000ms The conversion factor is 1000
- Force = 1N = 1 kg*m/s^2 = 1 kg*100cm/(1000)^2 ms^2 = 1 kg*100cm/10^6 ms^2 = 1 kg*1cm/10^4 ms^2 = 10^-4 kg*cm/ms^2 The conversion factor = 10^-4
- Stress = 1pa = 1 n/m^2 = 1 (kg*m/s^2)/m^2 = 1 kg/m*s^2 = 1 kg/100 cm*(1000)^2 ms^2 = 1 kg/100 cm*10^6 ms^2 = 10^-8 kg/cm*ms^2 The conversion factor = 10^-8
- Energy = 1 Nm = 1 (kgm/s^2)*m = 1 kg*m^2/s^2 = 1 kg*(100)^2 cm^2/(1000)^2 ms ^2 = 1 kg*10^4 cm^2/10^6 ms^2 = 10^-2 kg*cm^2/ms^2 The conversion factor = 10^-2
- Density = 1 kg/m^3 = 1 kg/(100cm)^3 cm^3 = 1 kg/10^6 cm^3 = 10^-6 kg/cm^3 The conversion factor = 10^-6
- Young's moduius = 210 Gpa = 210*10^9 pa = 210*10^9 n/m^2 = 210*10^9 kg*m/s^2/m^2 = 210*10^9 kg/m*s^2 = 210*10^9 kg/100 cm*1000^2 ms^2 = 210*10^9 kg/100 cm*10^6 ms^2 = 210*10 kg/cm*ms = 2100 kg/cm*ms The conversion factor = 10
- Velocity = 56.33 KMPH = 56.33 Km/h = 56.33*(1000*100*cm)/(60*60*1000ms) = 56.33*10^5 cm/36*10^5 ms = 56.33*0.02778 cm/ms = 1.5648 cm/ms The conversion factor = 0.02778
- Gravity = 9.8 m/s^2 = 9.8*100 cm/1000^2 ms^2 = 9.8*100 cm/10^6 ms^2 = 9.8*10^-4 cm/ms^2 The conversion factor = 10^-4
In the Below Table the value from given SI unit to other units are converted and their converging factor are also given
| Unit System | Mass | Mass converging factor | Length | Length converging factor | Time | Time converging factor | Force | Force converging factor | Stress | Stress converging factor | Energy | Energy converging factor | Density | Density converging factor | Young's Modulus | Young's Modulus converging factor | Velocity | Velocity converging factor | Gravity | Gravity converging factor |
| kg cm s | 1 Kg | 1 | 100 cm | 100 | 1 s | 1 | 100 kg*cm/s^2 | 100 | 10^-2 kg/cm*s^2 | 10^-2 | 10^4 kg*cm^2/s^2 | 10^4 | 10^-6 kg/cm^3 | 10^-6 | 210*10^7 kg/cm*s^2 | 10^7 | 1,564.72 cm/s | 27.7778 | 980 cm/s^2 | 100 |
| gm mm ms | 1000 gm | 1000 | 1000 mm | 1000 | 1000 ms | 1000 | 1 gm*mm/ms^2 | 1 | 10^-6 gm/mm*ms^2 | 10^-6 | 10^3 gm*mm^2/ms^2 | 10^3 | 10^-6 gm/mm^3 | 10^-6 | 210*10^3 gm/mm*ms^2 | 10^3 | 15.6484 mm/ms | 0.2778 | 9.8*10^-3 mm/ms^2 | 10^-3 |
| kg m s | 1 kg | 1 | 1 m | 1 | 1 s | 1 | 1 kg*m/s^2 | 1 | 1kg/m*s^2 | 1 | 1 kg*m^2/s^2 | 1 | 1 kg/m^3 | 1 | 210*10^9 kg/m*s^2 | 10^9 | 15.6484 m/s | 0.2778 | 9.8 m/s^2 | 1 |
| g cm s | 1000 gm | 1000 | 100 cm | 100 | 1 s | 1 | 10^5 gm*cm/s^2 | 10^5 | 10 gm/cm*s^2 | 10 | 10^7 gm*cm^2/s^2 | 10^7 | 10^-3 gm/cm^3 | 10^-3 | 210*10^10 gm/cm*s^2 | 10^10 | 1,564.72 cm/s | 27.7778 | 9.8*10^2 cm/s^2 | 10^2 |
| g cm us | 1000 gm | 1000 | 100 cm | 100 | 10^6 us | 10^6 | 10^-7 gm*cm/us^2 | 10^-7 | 10^-11 gm/cm*us^2 | 10^-11 | 10^-7 gm*cm^2/us^2 | 10^-7 | 10^-3 gm/cm^3 | 10^-3 | 210*10^-2 gm/cm*us^2 | 10^-2 | 0.001564 cm/us | 0.00002778 | 9.8*10^-10 cm/us^2 | 10^-10 |
| g mm s | 1000 gm | 1000 | 1000 mm | 1000 | 1 s | 1 | 10^6 gm*mm/s^2 | 10^6 | 1 gm/mm*s^2 | 1 | 10^9 gm*mm^2/s^2 | 10^9 | 10^-6 gm/mm^3 | 10^-6 | 210*10^9 gm/mm*s^2 | 10^9 | 15,647.22 mm/s | 277.7778 | 9.8*10^3 mm/s^2 | 10^3 |
| ton mm s | 0.001 ton | 10^-3 | 1000 mm | 1000 | 1 s | 1 | 1 ton*mm/s^2 | 1 | 10^-6 ton/mm*s^2 | 10^-6 | 1 ton*mm^2/s^2 | 1 | 10^-12 gm/mm^3 | 10^-12 | 210*10^3 ton/mm*s^2 | 10^3 | 15,647.22 mm/s | 277.7778 | 9.8*10^3 mm/s^2 | 10^3 |
| slug ft s | 0.0685 slug | 0.0685 | 3.28 ft | 3.28 | 1 s | 1 | 0.2246 slug*ft/s^2 | 0.2246 | 0.0208 slug/ft*s^2 | 0.0208 | 0.7369 slug*ft^2/s^2 | 0.7369 |
0.001941 slug/ft^3 |
0.001941 | 438.5670*10^7 slug/ft*s^2 | 2.0884*10^7 | 51.33 ft/s | 0.9113 | 32.144 ft/s^2 | 3.28 |
| kg mm s | 1 kg | 1 | 1000 mm | 1000 | 1 s | 1 | 10^3 kg*mm/s^2 | 10^3 | 10^-3 kg/mm*s^2 | 10^-3 | 10^6 kg*mm^2/s^2 | 10^6 | 10^-9 kg/mm^3 | 10^-9 | 210*10^6 kg/mm*s^2 | 10^6 | 15,647.22 mm/s | 277.7778 | 9.8*10^3 mm/s^2 | 10^3 |
| g cm ms | 1000 gm | 1000 | 100 cm | 100 | 1000 ms | 1000 | 0.1 gm*cm/ms^2 | 0.1 | 10^-5 kg/cm*ms^2 | 10^-5 | 10 gm*cm^2/ms^2 | 10 | 10^-3 gm/cm^3 | 10^-3 | 210*10^4 gm/cm*ms | 10^4 | 1.5648 cm/ms | 0.02778 | 9.8*10^-4 cm/ms | 10^-4 |
| kg mm ms | 1 kg | 1 | 1000 mm | 1000 | 1000 ms | 1000 | 10^-3 kg*mm/ms^2 | 10^-3 | 10^-9 kg/mm*ms^2 | 10^-9 | 1 kg*mm^2/ms^2 | 1 | 10^-9 gm/mm^3 | 10^-9 | 210 kg/ms*mm | 1 | 15.6484 mm/ms | 0.2778 | 9.8*10^-3 mm/ms^2 | 10^-3 |
Conclusion:
The Conversion of different parameters SI unit to other units are done succcessfully. This conversion used in LS-Dyna to switch one unit system to another unit system.