Consistency of units
Given Measurements
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
Coversion to gm/mm/ms unit system
Mass = 1kg=1000gm
length= 1m=1000mm
Time= 1s= 1/1000ms=1e-3ms
Force= 1N= (mass*acceleration due to gravity)= 1 N
stress= 1Pa=1N/m2=1N/(1000mm)2=1e-6N/mm2
Energy= 1Nm= 1000Nmm
Density=1Kg/m3=1000gm/(1000mm)3=1e-6gm/mm3
Youngs Modulus= 210GPa=210e+9Pa=210e+3N/mm2 (because 1Pa= 1e-6N/mm2)
Velocity=56.33Km/h=(56.33*1000*1000)mm/(60*60)s=15647.22mm/s
=15647.22*1e-3mm/ms=15.647mm/ms=15.65mm/ms
Gravity= 9.8m/s2= 9.8*1000m/(1e+3ms)2=9.8e-3mm/ms2
TABLE CONTAINING ALL THE UNIT SYSTEMS
| Unit system | MASS | LENGTH | TIME | FORCE | STRESS | ENERGY | DENSITY | YOUNG\'s | 35MPH | GRAVITY |
| 56.33KMPH | ||||||||||
| Kg/cm/ms | kg | cm | ms | 1.0E+04 N | Pa | J | 1.0E-06 Kg/cm3 | 2.100E+03 | 1.56 | 9.8E-04 |
| Kg/cm/s | kg | cm | s | 1.0E-02 N | Pa | J | 1.0E-06 Kg/cm3 | 2.100E+09 | 1.56E+03 | 9.8E+02 |
| g/mm/ms | g | mm | ms | N | MPa | N-mm | 1.0E-06 gm/mm3 | 2.100E+05 | 15.65 | 9.8E-03 |
| Kg/m/s | kg | m | s | N | Pa | J | 1Kg/m3 | 2.100E+11 | 15.65 | 9.81 |
| g/cm/s | g | cm | s | dyne | dyne/cm² | erg | 1.0E-04 gm/cm3 | 2.100E+12 | 1.56E+03 | 9.8E+02 |
| g/cm/us | g | cm | us | 1.0E07 N | Mbar | 1.0e+07 N-cm | 1.0E-04 gm/cm3 | 2.100E+00 | 1.56E-03 | 9.8E-10 |
| g/mm/s | g | mm | s | 1.0E-06 N | Pa | J | 1.0E-06 gm/mm3 | 2.100E+10 | 1.56E+04 | 9.8E+03 |
| ton/mm/s | ton | mm | s | N | MPa | N-mm | 1.0E-06 Ton/mm3 | 2.100E+05 | 1.56E+04 | 9.8E+03 |
| slug/ft/s | slug | ft | s | lbf | psf | lbf-ft | 15.2 slug/ft3 | 4.320E+09 | 51.33 | 32.17 |
| Kg/mm/s | kg | mm | s | mN | 1.0e+03 Pa | J | 1.0E-09 Kg/mm3 | 2.100E+08 | 1.56E+04 | 9.8E+03 |
| g/cm/ms | g | cm | ms | 1.0E+1 N | 1.0e+05 Pa | J | 1.0E-04 gm/cm3 | 2.100E+06 | 1.56 | 9.8E-04 |
| Kg/mm/ms | kg | mm | ms | kN | GPa | kN-mm | 1.0E-09 Kg/mm3 | 2.100E+02 | 15.65 | 9.8E-03 |