SI units and maths for FRCA Flashcards
Time
Second (s)
Length
Metre (m)
Mass
Kilogram (Kg)
Electric current
Ampere (A)
Temperature
Kelvin (K)
Amount of substance
Mole (mol)
Luminous intensity
Candela (cd)
Area
Square metres (m2)
Volume
Cubic metres (m3)
Speed, velocity
Metres per second (m.s-1)
Acceleration
Metres per second squared (m.s-2)
Wave number
Reciprocal metres (m-1)
Mass density
Kilogram per cubic metre (Kg.m-3)
Specific volume
Cubic metre per kilogram (m3.Kg-1)
Current density
Ampere per square metre (A.m-2)
Magnetic field strength
Ampere per metre (A.m-1)
Amount of substance concentration
Mole per cubic metre (mol.m-3)
Luminance
Candela per square metre (cd.m-2)
Frequency
Hertz (Hz) = s-1
Force
Newton (N) = Kg.m.s-2
Energy, work, quantity of heat
Joule (J) = N.m = Kg.m2.s-2
Power
Watt (W) = J.s-1 = Kg.m2.s-3
Electrical charge
Coulomb (C) = A.s
Electric potential difference, electromotive force
Volt (V) = W.A-1 = Kg.m2.s-3.A-1
Capacitance
Farad (F) = C.V-1 = A2.s4.Kg-1.m-2
Electric resistance
Ohm (Ω) = V.A-1 = Kg.m2.A-2.s-3
Equation for a straight line
y = mx + c
Equation for a rectangular hyperbola
y = 1/x
Equation for a ‘tearaway’ exponential
y = e^x
Equation for a ‘wash out’ curve
y = e^-x
Equation for a ‘wash in’ curve
y = 1 - e^-x
Rules of logarithms
logb(M.N) = logb(M) + logb(N)
logb(M/N) = logb(M) - logb(N)
logb(M^K) = K.logb(M)
logb(1) = 0
logb(b) = 1
logb(b^K) = K
b^logb(K) = K
logb(1/K) = -logb(K)
What do differentiation and integration determine?
Differentiation determines the gradient of a graph at any point, and so the rate of change.
Integration determines the area under a curve.
