iSlideRule
- Dimensional Analysis RelationshipsU : slide set, scale # 4The 30 marks on each scale represent physical constants. Listed below are the marks and the physical property each one represents. For the dimensional analysis scales, the labels will show the dimensional relationship between a given property, and the fundamental properties of length ( ℓ ), mass ( M ), time ( T ), and charge ( Q ). For more information, search for "dimensional analysis" online.
U-1 : slide set, scale # 3
U1/2 : slide set, scale # 2
V : bottom rule set, scale #2
V-1 : bottom rule set, scale #3
V1/2 : top rule set, scale #3
V2 : top rule set, scale #2
| Mark |
Physical
Property |
ℓ() |
M() |
T() |
Q() |
| a |
Acceleration |
1 |
0 |
-2 |
0 |
| B |
Magnetic
Induction |
0 |
1 |
-1 |
-1 |
| C |
Capacitance |
-2 |
-1 |
2 |
2 |
| D |
Electric
Displacement |
-2 |
0 |
0 |
1 |
| E |
Electric
Field |
1 |
1 |
-2 |
-1 |
| F |
Force |
1 |
1 |
-2 |
0 |
| H |
Magnetic
Intensity |
-1 |
0 |
-1 |
1 |
| Im |
Moment
of Inertia |
2 |
1 |
0 |
0 |
| I |
Electric
Current |
0 |
0 |
-1 |
1 |
| k |
Spatial
Frequency |
-1 |
0 |
0 |
0 |
| L |
Inductance |
2 |
1 |
0 |
-2 |
| Lm |
Angular
Momentum, Action |
2 |
1 |
-1 |
0 |
| ℓ |
Length |
1 |
0 |
0 |
0 |
| ℓ2 |
Area |
2 |
0 |
0 |
0 |
| ℓ3 |
Volume |
3 |
0 |
0 |
0 |
| M |
Mass |
0 |
1 |
0 |
0 |
| P |
Power |
2 |
1 |
-3 |
0 |
| Pm |
Linear
Momentum |
1 |
1 |
-1 |
0 |
| Q |
Charge |
0 |
0 |
0 |
1 |
| R |
Resistance,
Reactance |
2 |
1 |
-1 |
-2 |
| T |
Time,
Period |
0 |
0 |
1 |
0 |
| V |
Potential
( Voltage ) |
2 |
1 |
-2 |
-1 |
| v |
Velocity |
1 |
0 |
-1 |
0 |
| W |
Work,
Energy, Torque |
2 |
1 |
-2 |
0 |
| α |
Angular
Acceleration |
0 |
0 |
-2 |
0 |
| ε0 |
Electric
Permitivity |
-3 |
-1 |
2 |
2 |
| µ0 |
Magnetic
Permeability |
1 |
1 |
0 |
-2 |
| ϕ |
Magnetic
Flux |
2 |
1 |
-1 |
-1 |
| ρ |
Density |
-3 |
1 |
0 |
0 |
| ω |
Frequency,
Angular Velocity |
0 |
0 |
-1 |
0 |