Week - 1 - Consistency of Units
conversion from SI unit to gm/mm/ms unit system:
Mass=1kg=1000gm
Length=1m=1000mm
Time=1s=1000ms
Force=1N=[gm*mm]/ms^2
Stress=1pa=gm/[ms^2]*mm
Energy=1N-m=1000[gm*mm^2]/ms^2
Density=1kg/[m*m*m]=e-6gm/[mm^3]
Young's modulus=210GPa=210*e^9*gm/[ms^2*mm]
Velocity=56.33KMPH=
1km=e^6mm,1hr=3600*e^3
1kmph=e^6*mm/36*e^5=0.27
therefore,56.33*0.27=15.64mm/ms
Gravity=9.8m/s^2=9.8*e^3mm/e^6*ms^2=9.8*e^-3*mm/ms^2
| MASS | LENGTH | TIME | FORCE | STRESS | ENERGY | DENSITY | YOUNG'S MODULUS | VELOCITY56.33KMPH | GRAVITY[m/s^2 | |||
| kg | cm | ms | 1*e^4N | 1*e^6pa | 1*e^7Nm | e^-6 | 2*e^1 | 1.56 | 9.8e^-4 | |||
| Kg | cm | s | 1*e^-2 N | e^4kg*cm/s^2 | e^4kg*cm^2/s^2 | e^-6 | 2*e^09 | 1.56e^03 | 9.8e^2 | |||
| gm | mm | ms | 1*e^06 N | 1pa | e^9gm*mm^2/s^2 | e^-6 | 2*e^11 | 1.56e^04 |
|
|||
| kg | m | s | 1N | 1pa | 1J | 1 |
|
15.65 | 9.8 | |||
| gm | cm | s | e^5 | 100dyne/cm^2 | e^7cm/s^2 | e^-3 | 2*e^12 | 1.56e^3 | 9.8e^2 | |||
| gm | mm | s |
|
1pa | 1*e^3 | e^-6 |
|
|
9.8e^03 | |||
| kg | mm | s | e^3N | 1*e^3 Pa | e^6N-mm | e^-9 |
|
15.64e^3 | 9.8e^3 | |||
| gm | cm | ms | e^1N |
|
e^3N-cm | e^-3 | 2*e^6 | 1.56e^3 | 9.8e^-4 | |||
| kg | mm | ms | 1KN | 1Gpa | 1KN-mm | e^-9 | 2*e^2 | 15.65 | 9.8e^-3 | |||
| gm | cm | us | 1*e^7 | 100Pascals | 1*e^7 Ncm | e^-3 | 2 | 1.56e^-3 | 9.8e^-10 |