Week - 1 - Consistency of units
1. force in (gm mm ms)
force(F)=mass*accelaration
F(1N)=kg* (Velocity/time)
F(1N)=kg*(m/sec^2)
F(1N)=(gm*10^-3)*{(mm*10^-3)/(ms*10^-6))}
F(1N)={(gm*mm*10^-6)/(ms*10^-6)}
F(1N)={(gm*mm)/ms}
2.STRESS 1Pa IN (gm mm ms)
Stress= Force(N)/Area(m^2)
As shown in above, Force(1N)=gm*mm)/ms
Stress= {(gm*mm)/ms}/{(mm*10^-3)^2}
Stess= {gm*10^-6)}/(mm*ms)
3.ENERGY(1Nm) IN (gm mm ms)
Energy(1Nm)= Force(N)* distance(m)
As shown in above, Force(1N)=gm*mm)/ms
Hence, Energy(1Nm)={gm*mm)/ms}*(mm*10^-3)
Energy(1Nm)={(gm*mm^2)/ms}*10^-3
4.DENSITY 1Kg/m3 IN (gm mm ms)
density= Mass(Kg)/Volume(m^3)
density=(gm*10^-3)/(mm*10^-3)^3
density=(gm*10^-3)/(mm^3)*10^-9
Density={gm/mm^3}*10^6
5. YOUNG'S Modulus 210GPa IN (gm mm ms)
Youngs's modulus(210 Gpa)= (210*10^9)* {kg/(m*s)}
Youngs's modulus(210 Gpa)=(210*10^9)*(gm*10^-6)/(mm*ms)
Youngs's modulus(210 Gpa)=210*{gm/mm*ms}*10^3
Youngs's modulus(210 Gpa)=(210*10^3)*{gm/mm*ms}
6. Velocity 56.33KMPH (gm mm ms)
velocity(56.33 KMPH)=56.338*{(10^6*mm)/(3600*10^3ms)
velocity(56.33 KMPH)=(563.38/36)(mm/ms)
velocity(56.33 KMPH)=15.649*mm/ms
7.GRAVITY 9.8m/s2 (in gm mm ms)
GRAVITY 9.8m/s2 =9.8*(10^3mm/10^6ms^2)
GRAVITY 9.8m/s2=9.8*10^-3(mm/ms^2)
|
S.no |
mass |
length |
time |
Force (1N) |
Stress (1Pa) |
Energy (1Nm) |
Density (1kg/m^3) |
Young’s modulus (210Gpa) |
Velocity (56.33km/hr) |
Gravity (9.8 m/sec^2) |
|
1 |
kg |
m |
sec |
N |
Pa |
Nm |
10^3 |
10^11 |
15.85 |
9.81 |
|
2 |
kg |
cm |
s |
10^-2 |
10^2 |
10^-4 |
10^-3 |
10^9 |
1580 |
981 |
|
3 |
kg |
cm |
ms |
10^4 |
10^2 |
10^-4 |
10^-3 |
10^3 |
1.58 |
9.81*10^-4 |
|
4 |
kg |
mm |
ms |
10^3 |
10^9 |
1 |
10^-6 |
10^2 |
15.82 |
9.81*10^-3 |
|
5 |
kg |
mm |
s |
10^-3 |
10^3 |
10^-6 |
10^-6 |
10^8 |
1582 |
9810 |
|
6 |
g |
cm |
ms |
10 |
10^5 |
10^-1 |
1 |
10^6 |
1.58 |
9.81*10^-4 |
|
7 |
g |
mm |
s |
10^-6 |
1 |
10^-9 |
10^3 |
10^11 |
1.58*10^4 |
9810 |