Week - 1 - Consistency of Units
Aim:
The objective of the challenge is to change the following values to the given system of units.This challenge is to know the different type of units used and how to change the given 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
Now, here are a few system of units:
Kg cm ms
Kg cm s
gm mm ms
kg m s
g cm s
g cm us
g mm s
ton mm s
slug ft s
kg mm s
g cm ms
kg mm ms
Procedure:
As Per the challenge g/mm/ms unit syatem is given in detailed
Mass = 1kg =1000g
length = 1m = 1000 mm
seconds =1 s =1000 ms
All three has the conversion factor of about 10^3
Force = mass* acceleration
mass = 1 kg =1000g
acceleration = m/s^2
= 1000*(1000)/(1000)^2
=1 g.mm/ms^2
conversion factor = 1
Stress = force/area
force = 1 g.mm/ms^2
area =m^2
stress = 1/(1000)^2
= 10^-6 g/mm.ms^2
conversion factor = 10^-6
Energy = N.m
force = 1N = 1 g.mm/ms^2
1 m = 1000mm
Energy = 10^3 g.mm^2/ms^2
conversion factor = 10^3
density = kg/m^3
1 kg = 10^3 g
m= 1000mm
Density = 1000/(1000)^3
= 10^-6g/mm^3
conversion factor = 10^-6
Young's modulus = 210 Gpa
1pa = 1 stress = 10^-6 g/mm.ms^2
1 GPa = 10^9 Pa
Young's modulus = 10^3 g/mm.ms^2
conversion factor = 10^3
velocity = 56.33 kmph
1km = 10^6 mm
1hr = 60*60*3600ms
= 15.64 mm/ms
gravity = 9.8 m/s^2
1m = 1000 mm
1s = 1000 ms
= 9.8* 10 ^-3 mm/ms
| units | mass | length | seconds | force | stress | energy | density | young's modulus | velocity | gravity |
| Kg cm ms | 1 | 100 | 1000 | 10^-4 | 10^-8 | 10^-2 | 10^-6 | 2100 | 1.5647 | 9.8*10^-4 |
| Kg cm s | 1 | 100 | 1 | 100 | 10^-2 | 10^4 | 10^-6 | 210*10^7 | 1564.7 | 9.8*10^2 |
| kg m s | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 210*10^9 | 15.647 | 9.8 |
| g cm s | 1000 | 100 | 1 | 10^5 | 10^7 | 10 | 10^-3 | 210*10^10 | 1564.72 | 9.8*10^2 |
| g cm us | 1000 | 100 | 10^6 | 10^-7 | 10^-11 | 10^-7 | 10^-3 | 210 | 0.001564 | 9.8*10^-10 |
| g mm s | 1000 | 1000 | 1 | 10^6 | 1 | 10^9 | 10^-6 | 210*10^9 | 15647.2 | 9.8*10^3 |
| ton mm s | 10^-3 | 1000 | 1 | 1 | 10^-2 | 10^3 | 10^-6 | 210*10^7 | 15647.2 | 9.8*10^3 |
| slug ft s | 0.0685 | 3.28 | 1 | 0.224 | 0.0208 | 0.734 | 0.0019 | 4.305*10^9 | 51.32 | 32.1768 |
| kg mm s | 1 | 1000 | 1 | 1000 | 10^-3 | 10^6 | 10^-9 | 210*10^6 | 15647.2 | 9.8*10^3 |
| g cm ms | 1000 | 100 | 1000 | 10^-1 | 10^-5 | 10 | 10^-3 | 210*10^4 | 1.56472 | 9.8*10^-3 |
| kg mm ms | 1 | 1000 | 1000 | 10^-3 | 10^-9 | 10 | 10^-9 | 210*10 | 15.647 | 9.8*10^-3 |
Conclusion:
The given unit system are converted using the SI unit system