Week - 1 - Consistency of Units
AIM: To convert the given data to the specified unit systems.
PROCEDURE:
| SYSTEM | 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) |
| Kg cm ms | 1 (cf=1) | 100 (cf=10^2) | 1000 (cf=10^3) | 1E-04 (cf=10^-4) | 1.0E-08 (cf=10^-8) |
1E-02 (cf=10^-2) |
0.000001 (cf=10^-6) |
2.10E+03 (cf=10^1) |
1.56472222 (cf=.02777) |
0.00098 (cf=10^-4) |
| Kg cm s | 1 (cf=1) | 100 (cf=10^2) | 1 (cf=1) | 1E+02 (cf=10^2) | 1.0E-02 (cf=10^-2) |
1E+04 (cf=10^4) |
0.000001 (cf=10^-6) |
2.10E+09 (cf=10^7) |
1564.72222 (cf=27.77) |
980 (cf=10^2) |
| gm mm ms | 1000 (cf=10^3) | 1000 (cf=10^3) | 1000 (cf=10^3) | 1E+00 (cf=1) | 1.0E-06 (cf=10^-6) |
1E+03 (cf=10^3) |
0.000001 (cf=10^-6) |
2.10E+05 (cf=10^3) |
15.6472222 (cf=.2777) |
0.0098 (cf=10^-3) |
| kg m s | 1 (cf=1) | 1 (cf=1) | 1 (cf=1) | 1E+00 (cf=1) | 1.0E+00 (cf=1) |
1E+00 (cf=1) |
1 (cf=1) |
2.10E+11 (cf=10^9) |
15.6472222 (cf=.2777) |
9.8 (cf=1) |
| g cm s | 1000 (cf=10^3) | 100 (cf=10^2) | 1 (cf=1) | 1E+05 (cf=10^5) | 1.0E+01 (cf=10^1) |
1E+07 (cf=10^7) |
0.001 (cf=10^-3) |
2.10E+12 (cf=10^10) |
1564.72222 (cf=27.77) |
980 (cf=10^2) |
| g cm us | 1000 (cf=10^3) | 100 (cf=10^2) | 1000000 (cf=10^6) | 1E-07 (cf=10-7) | 1.0E-11 (cf=10^-11) |
1E-05 (cf=10^-5) |
0.001 (cf=10^-3) |
2.10E+00 (cf=10^-2) |
0.00156472 (cf=.00002777) |
9.8E-10 (cf=10^-10) |
| g mm s | 1000 (cf=10^3) | 1000 (cf=10^3) | 1 (cf=1) | 1E+06 (cf=10^6) | 1.0E+00 (cf=1) |
1E+09 (cf=10^9) |
0.000001 (cf=10^-3) |
2.10E+11 (cf=10^9) |
15647.2222 (cf=277.7) |
9800 (cf=10^3) |
| ton mm s | 0.001 (cf=10^-3) | 1000 (cf=10^3) | 1 (cf=1) | 1E+00 (cf=1) | 1.0E-06 (cf=10^-6) |
1E+03 (cf=10^3) |
1E-12 (cf=10^-12) |
2.10E+05 (cf=10^3) |
15647.2222 (cf=277.7) |
9800 (cf=10^3) |
| slug ft s | 0.0685 (cf=.685) | 3.28 (cf=3.28) | 1 (cf=1) | 2E-01 (cf=.225) | 2.1E-02 (cf=10^-2) |
7E-01 (cf=10^-1) |
0.001941 (cf=.0019) |
4.39E+09 (cf=10^7) |
51.3228889 (cf=.911) |
32.144 (cf=10^-2) |
| kg mm s | 1 (cf=1) | 1000 (cf=10^3) | 1 (cf=1) | 1E+03 (cf=10^3) | 1.0E-03 (cf=10^-3) |
1E+06 (cf=10^6) |
1E-09 (cf=10^-9) |
2.10E+08 (cf=10^6) |
15647.2222 (cf=277.7) |
9800 (cf=3.28) |
| g cm ms | 1000 (cf=10^3) | 100 (cf=10^2) | 1 (cf=1) | 1E+05 (cf=10^5) | 1.0E+01 (cf=10^1) |
1E+07 (cf=10^7) |
0.001 (cf=10^-3) |
2.10E+12 (cf=10^10) |
1564.72222 (cf=27.77) |
980 (cf=10^2) |
| kg mm ms | 1 (cf=1) | 1000 (cf=10^3) | 1000 (cf=10^3) | 1E-03 (cf=10^-3) | 1.0E-09 (cf=10^-9) |
1E+00 (cf=1) |
1E-09 (cf=10^-9) |
2.10E+02 (cf=1) |
15.6472222 (cf=.2777) |
0.0098 (cf=10^-3) |
CONVERSION OF GIVEN DATA FROM SI UNIT TO gm/mm/ms:
1. Mass:
1 kg = 1000 gm (Conversion factor = 10^3)
2. Length
1 m = 1000 mm (Conversion factor = 10^3)
3. Time:
1 s = 1000 ms (Conversion factor = 10^3)
4. Force:
1 N = 1 kg m/s2
= 1 x 1000 x 1000/(1000^2)
= 1 gm mm/ms^2 (Conversion factor = 1)
5. Stress:
1 Pa = 1 N/m^2
= 1 x 1 / (1000^2)
= 1.0E-06 gm/(mmxms^2) (Conversion factor = 10^-6)
6. Energy:
1 Nm = 1x1000
= 1E+03 gm x mm^2/(ms^2) (Conversion factor = 10^3)
7. Density:
1 kg/m^3 = 1 x 1000/(1000^3)
= 1E-06 gm/mm^3 (Conversion factor = 10^-6)
8. Youngs modulus:
210 GPa = 210 x 10^9 x 10^-6
= 210 x 10^3 gm/(mmxms^2) (Conversion factor = 10^3)
9. Velocity:
56.33 km/h = 56.33 x 10^-3 / (60x60x1000)
= 15.6472222 mm/ms (Conversion factor = .2777)
10: Gravity:
9.8 m/s^2 = 9.8 x 1000 /(1000^2)
= 9.8 x 10^-3 mm/ms^2 (Conversion factor = 10^-3)