Week - 1 - Consistency of Units
Aim:
To create a report of conversion of units into mass(1Kg) Lenght (1m) and Time (1S)
Report:
Mass: 1Kg= 103 g
Length: 1m=102cm= 103mm
Time: 1S= 103 ms
kg*m/s2=N
Below calculation is equal to the Force SI unit N. Some sample calculation are below.
kg cm/ms2 =1*100 /1000000 = 10 -4
Kg cm/ s2 = 1* 100 /1 = 102 N
g*mm/ms2 =1000*1000/1000000= 1
g cm s = 1000*100 /1= 10 5
g cm μs= 1000*100*1/= 10-1
g*mm/ s2 =1000*1000/1= 106
ton*mm/s2 = (1/1000)*1000*/1 =1
slug*ft/ s2 = 0.0685218* 3.28084/1= 0.2248
kg*mm/s2 = 1*1000/1 =103
g*cm/ms2 = 1000*100/1000000 = 10 -1
kg*mm/ms2 = 1*1000/1000000= 10 -3
Stress= Force/Area
N/m2=(kg*m/s2)/m2= kg/m*s2
Energy= 1/2 m*v2 or mgh
J=Kg *(m/s) 2 or kg*(m/s2) * m
DENSITY : 1Kg/m3 = 1000g/(1000mm)3
= 10-6 g/mm3
Conversion factor : 10 -6
YOUNGS MODULUS : 210GPa = 210e+9 kg/(m*s2) = 210e+9 * 1000000 g/ (mm*m s2)
= 210e+3 g/ (mm*m s2) = 210*1000 g/ (mm*m s2)
Conversion factor: 10 -6
VELOCITY : 56.33 Kmph = 56.33 * {1000000mm/(3600*1000ms)}
= 15.647 mm/ms
Conversion factor: 5/18
GRAVITY : 9.8m/s2 = 9.8 * 1000mm/(1000ms)
= (9.8* /(1000) )mm/ms2
Conversion factor: 5/18
In order to calculate easily, I have created below tabl
| SL no | Unit system | Mass (Kg) | Length(m) | Time (S) |
Force (N) | Conversion Factor | Stress (Pa) | Conversion Factor | Energy (J) | Conversion Factor |
| 1 | SI Unit kg m s |
1kg | 1m | 1s | 1 N = 1 kg*m/s2 |
1 | 1 Pa = 1 kg/(m*s2) |
1 | 1 J = 1Nm = 1kg*m2/s2 |
1 |
| 2 | kg cm ms | 1kg |
102cm |
103 ms | 10 -4 kg*cm/ms2 |
10 -4 | 10 -8 kg/(cm*ms2) |
10 -8 | 10 -2 kg*cm2/ms2 |
10 -2 |
| 3 | kg cm s | 1kg | 102cm | 1s | 102 kg*cm/s2 |
102 | 10 -2 kg/(cm*s2 ) |
10 -2 | 10 4 kg*cm2/s |
10 4 |
| 4 | g mm ms | 1 | 103 mm | 103 ms | 1 g*mm/ms2 |
1 | 10 -6 g/(mm*ms2 ) |
10 -6 | 10 3 g*mm2/ms2 |
10 3 |
| 5 | g cm s | 10 3g | 102cm | 1s | 10 5 g*cm/s2 |
10 5 | 10 g/(cm*s2 ) |
10 | 10 7 g*cm2/s2 |
10 7 |
| 6 | g cm μs | 10 3g |
102cm |
106 μs as | 10 -1 g*cm/μs2 |
10 -7 | 10 -11 g/(cm*μs2 ) |
10 -11 | 10 -5 g*cm2/μs2 |
10 -5 |
| 7 | g mm s | 10 3g | 103 mm | 1s | 10 -6 g*mm/ s2 |
10 -6 | 1 g/(mm*s2 ) |
1 | 10 9 g*mm2/s2 |
10 9 |
| 8 | Ton mm s | 10 -3ton | 103 mm | 1s | 1 ton*mm/s2 |
1 | 10 -6 ton/(mm*s2 ) |
10 -6 | 10 3 ton*mm2/s2 |
10 3 |
| 9 | slug ft s | 0.068slug | 3.28 ft | 1s | 0.2246 slug*ft/ s2 |
0.2246 | 0.0208 slug/(ft*s2 ) |
0.0208 | 0.7366 slug*ft2/s2 |
0.7366 |
| 10 | kg mm s | 1kg | 103 mm | 1s | 10 3 kg*mm/s2 |
10 3 | 10 -3 kg/(mm*s2 ) |
10 -3 |
106 kg*mm2/s2 |
10 6 |
| 11 | g cm ms | 10 3g | 102cm | 103 ms | 10 -1 g*cm/ms2 |
10 -1 | 10 -5 g/(cm*ms2 ) |
10 -5 |
10 g*cm2/ms2 |
10 |
| 12 | kg mm ms | 1kg | 103 mm | 103 ms | 10 -3 kg*mm/ms2 |
10 -3 | 10 -9 kg/(mm*ms2) |
10 -9 |
1 kg*mm2/ms2 |
1 |