Derivations of SI Units (1 Viewer)

[Forbidden.]

I was bored so I make fun with derivations of SI units of many Physics formulas.

f = 1/t

Unit: Hz (Hertz)
Derived Unit(s): s^-1 (per second)



W = Fs

Unit: J (Joule)
Derived Unit(s): N m (Newton-metre)
Further Derived Unit(s): kg m s^-2 x m = kg m² s^-2 (kilogram-metre squared per second squared)

(N = kg m s^-2)



q = I/t (I = q/t)

Unit: C (Coulomb)
Derived Unit(s): A s (Ampere-second)

(A = C s^-1)



R = V/I [V = IR (Ohm's Law)]

Unit: Ω (Ohm)
Derived Unit(s): V A^-1 (Volts per ampere)
Further Derived Unit(s): kg m² s^-3 A^-1 x A^-1 = kg m² A^-2 s^-3 (kilogram-metre squared per Ampere squared-second cubed)

(V = kg m² s^-3 A^-1)



V = E/q (V = ΔPE/q)

Unit: V [Voltage (Potential Difference or Electromotive force (emf))]
Derived Unit(s): J C^-1
Further Derived Unit(s): kg m² s^-2 x A^-1 s^-1 = kg m² A^-1 s^-3 (kilogram-metre squared per Ampere-second cubed)

(J = kg m² s^-2 & C = A s)



P = E/t

Unit: W (Watt)
Derived Unit(s): J s^-1 (Joules per second)
Further Derived Unit(s): kg m² s^-2 x s^-1 = kg m² s^-3

(J = kg m² s^-2)



F = ma (Newton's Second Law)

Unit: N (Newton)
Derived Unit(s): kg m s^-2 (kilogram-metre per second squared)

(a = m s^-2 = N kg^-1)



B = F / LI (F = LIB)

Unit: T (Testla)
Derived Unit(s): N m^-1 A^-1 (Newton per metre-Ampere)
Further Derived Unit(s): kg m s^-2 x m^-1 x A^-1 = kg A^-1 s^-2 (kilogram per Ampere-second squared)

(N = kg m s^-2)

&

Wb m^-2 (Weber per metre squared)



Ф = BA

Unit: Wb (Weber)
Derived Unit(s): T m² (Testla-metre squared)
Further Derived Unit(s): kg A^-1 s^-2 x m^-2 = kg A^-1 m^-2 s^-2 (kilogram per Ampere-metre squared-second squared)

(T = kg A^-1 s^-2)

 

[alcalder]

Fenris, I had to do that when I did Physics (when I did it). It is the easiest way to remember formulae. Or, at least know that you have the right answer when you get it.