Week - 1 - Consistency of units
- gm mm ms
mass 1kg=1000gm
length 1m=1000mm
time 1s=1000ms
force 1N= mass*ACc(1 KG*m/s2)= 1000*1000/(1000)^2= 1 gm*mm/ms^2
velocity 56kmph= 56 *10^6/3600*10^3=56/3.6= 15.556 mmpms
stress 1Pa = 1 N/m2= 10^-6 gm/msmm
energy 1Nm= 1000 gm*mm^2/ms^2
density 1KG/m3= 10^3/10^9= 10^-6gm/mm3
youngs modulus 210GPa= 210*10^9*10^-6=210000 gm/msmm
gravity 9.8m/s2= 9.8*1000/10^6= 0.0098 mm/ms2
| mass | length | time | force | stress | energy | density | YoungsM | Velocity | gravity | |
| kg cm ms | 1 | 100 | 1000 | 10^-4 | 10^-8 | 0.01 | 10^-6 | 2100 | 1.5556 | 9.8*10^-4 |
| kg cm s | 1 | 100 | 1 | 100 | 0.01 | 10000 | 10^-6 | 210*10^7 | 1555.6 | 980 |
| kg m s | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 210*10^9 | 15.556 | 9.8 |
| g cm s | 1000 | 100 | 1 | 10^5 | 10 | 10^7 | 0.001 | 2100*10^9 | 1555.6 | 980 |
| g cm us | 1000 | 100 | 10^6 | 10^-7 | 10^-11 | 10^-5 | 0.001 | 2.1 | 0.00155 | 0.98*10^-9 |
| g mm s | 1000 | 1000 | 1 | 10^6 | 1 | 10^9 | 10^-6 | 210*10^9 | 15556 | 9800 |
| ton mm s | 0.001 | 1000 | 1 | 1 | 0.001 | 1000 | 10^-12 | 210*10^6 | 15556 | 9800 |
| slug ft s | 0.068 | 3.28 | 1 | 0.223 | 10.758 | 0.7314 | 0.00193 | 2259.18*10^9 | 51.0237 | 32.144 |
| kg mm s | 1 | 1000 | 1 | 1000 | 0.001 | 10^6 | 10^-9 | 210*10^6 | 15556 | 9800 |
| g cm ms | 1000 | 100 | 1000 | 0.1 | 10^-5 | 10 | 0.001 | 210*10^4 | 1.5556 | 9.8*10^-4 |
| kg mm ms | 1 | 1000 | 1000 | 0.001 | 10^-9 | 1 | 10^-9 | 210 | 15.556 | 9.8*10^-3 |