Consistency of Units - Calculation of Data for LS DYNA
OBJECTIVE :
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
Converted Measurements :
MASS 1kg = 1000g
LENGTH 1m = 1000mm
TIME 1s = 1000ms
FORCE 1N = 1kg*1m/s^2 = 1000*1000/(1000^2) = 1g(mm/ms^2)
STRESS 1Pa 1Pa=1N/m^2 = (1kg*1m/s^2)/m^2= (1000*1000/(1000^2))/1000^2 = 1*10^-6(mm*ms^2)
ENERGY 1Nm 1Nm=(1kg*1m/s^2)*m =(1000*1000/(1000^2))/1000 = 1*10^3(g*mm^2/ms)*mm
DENSITY 1Kg/m3 1Nm=(1kg*1m/s^2)*m^3 =(1000*1000/(1000^2))/1000^3 = 1*10^-6(g*mm^2/ms)*mm
YOUNG'S Modulus 210GPa = (1kg*1m/s^2)/m^2*10^9= ((1000*1000/(1000^2))/1000^2)*10^9 = 1*10^3g/(mm*ms^2)
Velocity 56.33KMPH = 56.33*1000*36*10^5mm*ms =15.64mm/ms
GRAVITY 9.8m/s2=9.80*1000/1000*1000= 9.8*10^-3 mm/(ms^2)
Now, here are a few system of 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
CONVERTED MEASUREMENTS:
| Mass | Length | Time | Force | Stress | Energy | Density | Youngs Modulus | Velocity | Gravity | |
| Kg cm ms | 1kg | 10^2 cm | 10^3 ms | 10^-4 (kg*cm)/ms^2 | 1*10^-8 kg/(ms^2cm) | 1(10^-2kg*cm^2)/(ms^2) | 1*10^-6 kg/(cm^3) | 210*10^1 (kg)/(cm*ms^2) | 15.6472*10^-1 cm/ms | 9.8*10^-4 cm/ms^2 |
| Kg cm s | 1kg | 10^2 cm | 1 s | 10^2 (kg*mm)/s^2 | 1(10^2kg)/(s^2cm) | 1(10^-2kg*cm^2)/(s^2) | 1*10^-6 kg/(cm^3) | 210*10^7 (kg)/(cm*s^2) | 15.6472*10^2 cm/s | 9.8*10^2 cm/s^2 |
| gm mm ms | 10^3 g | 10^3 mm | 10^3 ms | 10^3 (gm*mm)/ms^2 | 1(10^-6gm)/(ms^2mm) | 1(10^3gm*mm^2)/(ms^2) | 1*10^-6 gm/(mm^3) | 210*10^3 (gm)/(mm*ms^2) | 15.6472 mm/ms | 9.8*10^-3 mm/ms^2 |
| kg m s | 1kg | 1 m | 1s | 1 (kg*m)/s^2 | 1(kg)/(s^2*m) | 1(kg*m^2)/(s^2) | 1(kg)/(m^3) | 210*10^9 (kg)/(m*s^2) | 15.64 m/s^2 | 9.8 m/s^2 |
| g cm s | 10^3 g | 10^2 cm | 1s | 10^5 (g*cm)/s^2 | 1(10gm)/(s^2cm) | 1(10^7gm*cm^2)/(s^2) | 1(10^-3gm)/(cm^3) | 210*10^10 gm/(cm*s^2) | 15.6472*10^2 cm/s | 9.8*10^2 cm/s^2 |
| g cm us | 10^3 g | 10^2 cm | 10^6 us | 10^-7 (g*cm)/us^2 | 1*10^-11 gm/(us^2cm) | 1(10^-5gm*cm^2)/(us^2) | 1(10^-3gm)/(cm^3) | 210*10^-2 gm/(cm*us^2) | 15.6472*10^-4 cm/us | 9.8*10^-10 cm/us^2 |
| g mm s | 10^3 g | 10^3 mm | 1s | 10^6 (g*mm)/s | 1 (gm)/(s^2mm) | 1(10^9gm*mm^2)/(s^2) | 1*10^-6 gm/(mm^3) | 210*10^9 gm/(mm*s^2) | 15.6472*10^3 mm/(s) | 9.8*10^3 mm/s^2 |
| ton mm s | 0.001t | 10^3 mm | 1s | 1 (t*mm)/s^2 | 1*10^-6 Ton/(s^2mm) | 1(10^3Ton*mm^2)/(s^2) | 1*10^-12 Ton/(mm^3) | 210*10^3 Ton/(mm*s^2) | 15.6472*10^3 mm/s | 9.8*10^3 mm/s^2 |
| slug ft s | 0.0685 s | 3.28ft | 1s | 0.2246 (slug*ft)/s^2 | 2.0606*10^-2 slug/(s^2*ft) | 74.052*10^-2 slug*ft^2/(s^2) | 0.1892*10^-2 slug/(ft^3) | 432.726*10^7 Slug/(s^2*ft) | 51.612 ft/s | 32.373/s^2 |
| kg mm s | 10^3 g | 10^3 mm | 1s | 10^3 (g*mm)/s^2 | 10^-3 kg/(s*mm) | 1(10^6kg*mm^2)/(s) | 1*10^-9 kg/(mm^3) | 210*10^6 kg/(mm*s) | 15.6472*10^3 mm/s | 9.8*10^3 mm/s^2 |
| g cm ms | 10^3 g | 10^2 cm | 1000ms | 10^-1 (g*cm)/ms^2 | 1*10^-5 gm/(ms^2cm) | 1(10gm*cm^2)/(ms^2) | 1*10^-3 gm/(cm^3) | 210*10^4 gm/(cm*ms^2) | 15.6472*10^-1 cm/ms | 9.8*10^-4cm/ms^2 |
| kg mm ms | 1kg | 10^3 mm | 1000ms | 10^-3 (kg*mm)/ms^2 | 1*10^-9 kg/(ms^2mm) | 1(10^-9kg*mm^2)/(ms^2) | 1*10^-9 kg/(mm^3) | 210 kg/(mm*ms^2) | 15.6472 mm/ms | 9.88 10^-3 mm/ms^2 |
| g mm ms | 10^3 g | 10^3 mm | 1000ms | 1g(mm/ms^2) | 10^-6(mm*ms^2) | 10^3(g*mm^2/ms)*mm | 10^-6 (g*mm^2/ms)*mm | 10^3 g/(mm*ms^2) | 15.64mm/ms | 9.8*10^-3 |