March 23, 2020

1.2.2 Show the derived units as products or quotients of the base units.

Derived
Quantities Equation
Derived Units
Area (A)
A = L2
m2
Volume (V)
V = L3
m3
Density (ρ)
ρ = m / V
kg m-3
Velocity (v)
v = L / t
ms-1
Acceleration (a)
a = Δv / t
ms-1 / s = ms-2
Momentum (p)
p = m x v
(kg)(ms-1) = kg m s-1


Derived Quantities
Equation
Derived Unit
Derived Units
Special Name
Symbol
Force (F)
F = Δp / t
Newton
N
[(kg m s-1) / s = kg m s-2
Pressure (p)
p = F / A
Pascal
Pa
(kg m s-2) / m2 = kg m-1 s-2
Energy (E)
E = F x d
joule
J
(kg m s-2)(m) = kg m2 s-2
Power (P)
P = E / t
watt
W
(kg m2 s-2) / s = kg m2 s-3
Frequency (f)
f = 1 / t
hertz
Hz
1 / s = s-1
Charge (Q)
Q = I x t
coulomb
C
A s
Potential Difference (V)
V = E / Q
volt
V
(kg m2 s-2) / A s = kg m2 s-3 A-1
Resistance (R)
R = V / I
ohm
Ω
(kg m2 s-3 A-1) / A = kg m2 s-3 A-2


2 comments: