iSlideRule

iSlideRule Dimensional Relationships


[ Back to Main Page ]


iSlideRule supports dimensional analysis via scales specifically designed for this purpose. 

Available in iSlideRule release 2.0.0, the U, U-1, U1/2, V, V-1, V1/2, and V2 scales, available only the primary scale set, provide dimensional analysis capability.  The 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.


Mark
Physical Property
()
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

Length
1
0
0
0
2
Area
2
0
0
0
3
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


© 2010-2020 Reid Performance Designs, All Rights Reserved.