Week - 1 - Consistency of Units

Vallues of following measurements given below.

Mass= 1kg
Length = 1m
Time = 1s
Force = 1N
Stress = 1pa
Energy = 1Nm
Density = 1kg/m^3
Youngs Modulus=1Gpa
Velocity =56.33kmph
Gravity =9.8m/s^2

1KG=1000g
1m=100cm=1000mm(mille-meter)
1s =1000mille seconds
F=ma(SI unit of force is N)
N=kg./ms^2
1pascal =1N/m^2=kg/ms^2
Density=M/V=Kg/M^3
1GPA=10^9pascal
1kmph=1000/3600=0.2777=5/18ms





1)Kg cm ms
Force=1N 1s=1000ms
F=kg.m/s^2 1kg =1000gm
=1x100/(1000)^2
=1xE-4 kg cm ms^2
2)kg cm s

F=kg.m/s^2
=1x100/1
=100 kg.m/s^2
3)gm mm ms
F=kg m/s^2
=1000x1000/(1000)^2
=1 gm mm/ms^2
4)kg m s
F=kg m/s^2
=1 kg m/s^2
5)g cm s
F=kg m/s^2
=1000x100
=100000 g cm/s^2
6)g cm us
F=kg m/s^2
= 1000x100/1000000^2
=1E-7 gm cm/us^2
7)g mm s
F=kg m/s^2
=1000x1000
=1E6 g.mm/s^2
8)ton mm s
F=kg m/s^2
=0.001x1000/1^2
=1 ton.mm/s^2
9)slug ft s
F=kg m/s^2
=0.0685 x3.280/ 1kg =0.0685slug
=0.22468 slug.ft/s^2
10) kg mm s
F=kg m/s^2
=1x1000/1^2
=10^3 kg.mm/s^2
11)g cm ms
F=kg m/s^2
=1000x100/1000^2
=0.1 g.cm/ms^2
12)kg mm ms
F=kg m/s^2
=1x1000/1000^2
=1E-3 kg mm/mm^2

Energy=kg-m^2/s^2
1)kg cm ms
Energy=kg-m^2/s^2
=1x100^2/1000^2
=0.01kg-cm^2/ms^2
2)gm mm ms
Energy=kg-m^2/s^2
=1000x1000^2/1000^2
=10^3 gm.mm^2/ms^2
3)slug ft s
Energy=kg-m^2/s^2
=0.0685x3.280^2/1^2
=0.736 slug ft^2/s^2

1GPA=10^9pascal
1pascal =kg/ms^2
=210gpa=210x10^9pa=210x10^9 kg/ms^2

V=56.33kmph
=56.33x(1000/3600)
=15.64 m/s

gravity=9.8m/s^2


1)kg cm ms

=9.8x100/(1000)^2
=9.8xE-4 cm/ms^2


Here below i have attached Excel file for reference.