Week - 1 - Consistency of Units
CHALLENGE 1
UNIT CONSISTENCY.
VALUES:
Mass= 1kg
Length= 1m
Time= 1s
Force=1N
Stress= 1Pa
Energy= 1Nm
Density= 1`kg/m^3`
Young modulus= 210GPa
Velocity=56.33 kmph= 56.33`xx 5/18`= 15.6472`m/s`
Gravity=9.8`m/s^2`
SYSTEM OF UNIT (g mm ms)
Mass= 1000g
Length= 1000mm
Time= 1000ms
Force= 1 gmm/ ms^2
Stress= `10^-6`g/mm ms^2
Energy= 1000 g mm^2/ms^2
Density= `10^-6` g/mm^3
Young modulus= 210× `10^3` g/mm ms^2
Velocity= 15.6472 mm/ms
Gravity=9.8× `10^-3`mm/ms^2
|
VALUES |
SYSTEM OF UNITS |
||
|
|
kg cm ms |
kg cm s |
kg m s |
|
Mass=1kg |
1kg |
1kg |
1kg |
|
Length=1m |
100cm |
100cm |
1m |
|
Time=1s |
1000ms |
1s |
1s |
|
Force=1N |
`10^-4` |
100 |
1 |
|
Stress=1Pa |
`10^-8` | 0.01 | 1 |
|
Energy=1 Nm |
0.01 | 10000 | 1 |
|
Density= 1 kg/m^3 |
`10^-6` | `10^-6` | 1 |
|
Young modulus =210GPa |
2100 |
`210xx10^7` |
`210xx10^9` |
|
Velocity= 15.6472 m/s |
1.56472 |
1564.72 |
15.6427 |
|
Gravity=9.8 m/s^2 |
`9.8xx10^-4` |
980 |
9.8 |
|
VALUES |
SYSTEM OF UNITS |
||
|
|
g cm s |
g cm µs |
g mm s |
|
Mass=1kg |
1000g |
1000g |
1000g |
|
Length=1m |
100cm |
100cm |
1000mm |
|
Time=1s |
1s |
`10^6` |
1s |
|
Force=1N |
`10^5` | `10^-7` | `10^6` |
|
Stress=1Pa |
10 |
`10^-11` | 1 |
|
Energy=1 Nm |
`10^7` |
`10^-5` |
`10^9` |
|
Density= 1 |
0.001 | 0.001 | `10^-6` |
|
Young modulus =210GPa |
`210xx10^10` |
2.1 | `210xx10^9` |
|
Velocity= 15.6472 |
1564.72 |
15.6472×`10^-4` |
15647.2 |
|
Gravity=9.8 |
980 |
9.8×`10^-10` |
9800 |
|
VALUES |
SYSTEM OF UNITS |
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|
|
ton mm s |
slug ft s 1slug=15kg |
kg mm s |
|
Mass=1kg |
0.001 |
0.0685 |
1 |
|
Length=1m |
1000 |
3.2808 |
1000 |
|
Time=1s |
1 |
1 |
1 |
|
Force=1N |
1 |
0.2247 |
1000 |
|
Stress=1Pa |
`10^-6` |
0.0209 |
0.001 |
|
Energy=1 Nm |
1000 |
0.7373 |
`10^6` |
|
Density= 1 |
`10^-12` |
1.9398×`10^-3` |
`10^-9` |
|
Young modulus =210GPa |
210×`10^3` |
4.7194×`10^10` |
210×`10^6` |
|
Velocity= 15.6472 |
15647.2 |
51.3353 |
15647.2 |
|
Gravity=9.8 |
9800 |
32.1518 |
9800 |
|
VALUES |
SYSTEM OF UNITS |
||
|
|
g cm ms |
kg mm ms |
|
|
Mass=1kg |
1000 |
1 |
|
|
Length=1m |
100 |
1000 |
|
|
Time=1s |
1000 |
1000 |
|
|
Force=1N |
0.1 |
0.001 |
|
|
Stress=1Pa |
`10^-5` | `10^-9` | |
|
Energy=1 Nm |
10 |
1 |
|
|
Density= 1 |
0.001 |
`10^-9` | |
|
Young modulus =210GPa |
210×`10^4` |
210 |
|
|
Velocity= 15.6472 |
1.56472 |
15.6472 |
|
|
Gravity=9.8 |
0.98 |
0.0098 |
|
Note: measured quantity is in row and unit system is in column.