Week - 1 - Consistency of units
Here we have to convert the above given properties into various forms , the basic conversion form for the above properties into gram, millimeter, milliseconds
1.) mass 1 kg = 1000 grams = 1000 gm
2.) 1 metere = 1000 mm
3.) 1 sec = 1000 milliseconds = 1000ms
4 .) 1 newton = newton/acceleration = (from f=ma)
=1/9.81 (9.81) gravitational force of earth
= 0.010193 gm
5.) 1 pascal = 0.010 gm
6.) 1 nm (energy ) = same as the force conversion = 0.1093 kg
7.) 1kg(density) = 0.1 gm
8 .) 210 gpa = gpa = 10e-6 = 2.01e3 gm
9.) veocity 56.33 kmph = 15.64 m/sec
10.) gravity 9.8 m/sec 2 = 9800 mm/sec2
| mass | length | time | force | stress | energy | density | youngs modulus | velocity | gravity | |||
|
kg |
cm | ms | 1 | 1000 | 1000 | 0.1019 | 0.10 | 0.1093 | 1 | 2.1e4 | 15.63 | 9.8 |
|
kg |
cm | s | 1 | 1000 | 60 | 0.1019 | 0.10 | 0.1093 | 1 | 2.1e4 | 15.63 | 9.8 |
|
gm |
mm | ms | 1000 | 1000 | 1000 | 1000 | 0.1e3 | 0.1e3 | 1e3 | 2.1e6 | 15.63 | 9800 |
|
kg |
m | s | 1 | 1 | 1 | 0.101 | 0.10 | 0.109 | 1 | 2.1e4 | 1.56 | 0.98 |
|
g |
cm | s | 1000 | 100 | 1 | 0.00101 | 0.0098 | 101.9 | 1000 | 2.1e6 | 15.63 | 9.80 |
|
g |
cm | us | 1000 | 100 | 1e6 | 0.00101 | 0.0098 | 101.9 | 1000 | 2.1e6 | 15.63 | 9.8 |
| g | mm |
s |
1000 | 1000 | 1 | 0.00101 | 0.0098 | 101.9 | 1000 | 2.1e6 | 0.15 | 980 |
| ton | mm |
s |
0.001 | 1000 | 1 | 1e-3 | 0.001 | 0.10e6 | 0.0011 | 0.002e4 | 0.15 | 0.0098 |
| slug | ft |
s |
0.068 | 3.28 | 1 | 0.007 | 0.007 | 0.007 | 0.03e6 | 0.021 | 51.23 | 32.15 |
| kg | mm |
s |
1 | 1000 | 1 | 0.1019 | 1/9.81 | 0.101 | 1 | 2.1e4 | 0.15 | 9.8 |
| kg | mm |
ms |
1 | 1000 | 1e3 | 0.1019 | 1/9.81 | 0.101 | 1 | 2.1e4 | 0.15 | 9.8 |
| g | cm |
ms |
1000 | 100 | 1e3 | 0.0019 | 101.97 | 101.9 | 1000 | 2.1e6 | 15.63 | 9.8 |
CONCLUSION :
Hence the given above values are converted into given forms and tabulated in above table .