Week - 1 - Consistency of Units
Challenge 1
Objective:
To convert the given values from Si units to various other unit systems
Solution
Value of the following measurements are given as follows:
- 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
Conversion From Si to gm/mm/ms
Mass
1Kg = 1*1000 gm=1000gm
Conversion Factor=1000
Length=1*1000 mm=1000mm
Conversion Factor=1000
Time=1*1000ms=1000ms
Conversion Factor=1000
Force=1N=1Kg*m/s2=1000g*1000mm/10002 ms2=1gm*mm/ms2
Stress=1N/m2=1Kg/(m*s2)= 1000g/(1000 mm*10002 ms2)
=10-6 g/(mm*ms2)
Conversion Factor=10-6
Energy=1Nm=1Kg *m2/s2=1000*10002/10002 gm*mm2/ms2
=10^3 gm*mm/ms2
Density =1Kg/m3 = 1000gm / 10003 mm3
=10^-6 gm/mm3
Youngs Modulus = 210 Gpa =210 * 10^9 Pa = 200 * 10^9 N/m2
= 210 * 10^9 / 10^6 gm/mm*ms2
=210 * 10^3 gm/mm*ms2
Velocity
For 1Km/hr
=10^6/3600 *1000 mm/ms
=10/36=0.277mm/ms
For 56.33Km/hr= 56.33 * 0.277
=15.64mm/ms
Gravity
For 1 m/s2= 1000mm/10002 ms2
=10^-3mm/ms2
For 9.8m/s2 = 9.8* 10^-3 mm/ms2
For the rest of the unit conversions, refer to table 1
|
Unit |
Mass |
Length |
Time |
Force |
Stress |
Energy |
Density |
Youngs Modulus |
Velocity |
Gravity |
|
|
Si |
1 Kg |
1m |
1s |
1N |
1N/m2 |
1Nm=1Kg*m^2/ms^1 |
1Kg/m3 |
210*10^9 Pa |
15.647 m/s |
9.8m/s2 |
|
|
Kg cm ms |
1Kg |
100cm |
1s |
10^-4Kg*cm/ms^2 |
10^-8kg/(cm*ms^2) |
10^-2Kg*cm^2/ms^2 |
10^-6Kg/cm3 |
2100 Kg/ |
1.5647 cm/ms |
9.8*10^-4 cm/ms2 |
|
|
g mm ms |
1000g |
1000mm |
1000ms |
1g*mm/ms^2 |
10^-6 g/(mm*ms^2) |
10^3 g*mm^2/ms^2 |
10^-6 g/mm^3 |
210*10^3 g/(mm*ms^2) |
15.647 mm/ms |
9.8*10^-3 mm/ms2 |
|
|
g cm s |
1000g |
100cm |
1s |
10^5 g*cm/s^2 |
10 g/(cm*s^2) |
10^7 g*cm^2/s^2 |
10^-3 g/cm^3 |
210 * 10^10 g/(cm*s^2) |
1564.7cm/s |
9.8*10^2cm/s^2 |
|
|
g cm `mu`s |
1000g |
100cm |
10^6`mu`s |
10^-7 g*cm/`mu`s^2 |
10^-11 g/(cm*`mu`^2) |
10^-5 g*cm^2/`mu`s^2 |
10^-3 g/cm^3 |
2.10 g/(cm*`mu`s^2) |
15.647* 10^-4 cm/`mu`s^ |
9.8*10^-10cm/`mu`s^2 |
|
|
g mm s |
1000g |
1000mm |
1s |
10^6 g*mm/s^2 |
1 g/(mm*s^2) |
10^9 g*mm^2/s^2 |
10^-6 g/mm^3 |
2.10 * 10^11 g/(mm*s^2) |
15647 mm/s |
9.8*10^3 mm/s^2 |
|
|
Ton mm s |
10^-3 ton |
1000mm |
1s |
1 ton*mm/s^2 |
10^-6 ton/(mm*s^2) |
10^3 ton*mm^2/s^2 |
10^-12 ton/mm^3 |
210 * 10^3 ton/(mm*s^2) |
15647 mm/s |
9.8*10^3mm/s^2 |
|
|
Slug ft s |
0.068 slug |
3.28ft |
1s |
0.2246 slug*ft/s^2 |
0.0208slug/(ft*s^2) |
0.7366 slug*ft^2/s^2 |
1.93 slug/ft^3 |
4.368 * 10^9 slug/(ft*s^2) |
51.322 ft/s |
32.144 ft/s^2 |
|
|
Kg mm s |
1Kg |
1000mm |
1s |
10^3kg*mm/s^2 |
10^-3Kg/(mm*s^2) |
10^6 Kg*mm^2/s^2 |
10^-9 Kg/mm^3 |
210 * 10^6 Kg/(mm*s^2) |
15647 mm/s |
9.8*10^3 mm/s^2 |
|
|
g cm ms |
1000g |
100cm |
1000ms |
10^-1 g*cm/ms^2 |
10^-5g/(cm*ms^2) |
10 g*cm^2/ms^2 |
10^-3 g/cm^3 |
210 * 10^4 g/(cm*ms^2) |
1.5647 cm/ms |
9.8*10^-4cm/ms^2 |
|
|
Kg cm s |
1000g |
100cm |
1s |
10^2 Kg*cm/s^2 |
10^-2 Kg/(cm*s^2) |
10^4 Kg*cm^2/s^2 |
10^-6 Kg/cm^3 |
210*10^7 Kg/(cm*s^2) |
1564.7cm/s |
9.8*10^2 cm/s^2 |
|
|
Kg mm ms |
1Kg |
1000mm |
1000ms |
10^-3 Kg*mm/ms^2 |
10^-9 Kg/(mm*ms^2) |
1 Kg*mm^2/ms^2 |
10^-9 Kg/mm^3 |
210 Kg/(mm*ms^2) |
15.647 mm/ms |
9.8*10^-3 mm/ms^2 |
Learning Outcomes
Unit Conversion
Conclusion
The given values have been converted from the Si unit system to several other unit systems.