Week - 1 - Consistency of Units
Consistency of Units
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
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
a. 1Kilo Gram = 1000 Grams
b. 1 Ton = 1000 kilo grams
c. 1 Slug = 14.593 Kilo Gram
d. 1 Mtr = 100cm
e. 1 Mtr = 1000mm
f. 1 Mtr = 3.28 Ft
g. 1 Kilo Meter = 1000mtr
h. 1Hr = 3600sec
i. 1 Sec = 1000 ms
j. 1 Sec = 10^6 um
k. 1N = 1(Kg-m)/s^2
l. 1 Pa = 1 N/m^2
m. 1GPa = 10^9 Pa
OR IN DETAIL
Mass: 1Kg=1000gm,
Conversation Factor = 1*1000 = 10^3;
Length: 1m=1000mm,
Conversation Factor = 1*1000 = 10^3;
Time: 1s=1000ms,
Conversation Factor = 1*1000 = 10^3;
Force: 1N = 1(kg*m)/S^2
= 1(1000gm*1000mm)/ (1000ms)^2
= 1(gm*mm)/ms2,
Conversation Factor = 1
Stress: 1Pa = 1 N/m2 = ((1Kg*m)/S2))/ m^2
= ((1000gm*1000mm)/1000000 ms2)/1000000mm^2
= ((1gm*mm)/ms^2)/10^6 mm^2
= 10^-6 gm/mm*ms^2,
Conversation Factor = 10^-6
Energy: 1Nm = (1 Kg*m/S^2)*m
= ((1000gm*1000mm)/1000000 ms^2) * 1000mm
= 103 (gm*mm^2) / ms^2,
Conversation Factor = 10^3
Density: 1Kg/m3 = 1000gm / 10^9 mm^3
= 10-6 gm/mm3,
Conversation Factor = 10^-6
Young’s Modulus: 210GPa = 210 * 10^9 N/m2
= 210*109 ((Kg*m)/S^2) / m^2
= 210*109 ((1000gm*1000mm)/1000000 ms^2)/1000000mm^2
= 210*109 ((gm*mm)/ms^2)/10^6 mm^2
= 210*10^3 gm/mm*ms^2,
Conversation Factor = 10^3
Velocity: 56.33KMPH = (56.33 * 1000m) / H
= (56.33 * 10^6mm) / 3600 * 1000 ms
= (56.33 * 10^6mm) / 36 * 105 ms
= 15.6472 mm/ms,
Conversation Factor = 5/18
Gravity: 9.8 m/S2 = 9.8 (1000mm)/ (1000000ms)
= 9.8 (103mm) / 10^6 ms^2
= 9.8 * 10-3 mm/ms^2, Conversation Factor = 10^-3
Reference:
