Equations and Constants Flashcards
Average Speed
Δx / Δt
Average Velocity
Δd / Δt
Acceleration
Δv / Δt
Newton’s Second Law
F = ma
Static Friction
F = Us F
Kinetic Friction
F = Uk F
Force of Gravity Perpendicular to an Inclined Plane
F = mgcosθ
Force of Gravity Parallel to an Inclined Plane
F = mgsinθ
Torque
T = rFsinθ
Work
W = Fdcosθ
Mechanical Advantage
MA = Fout / Fin
Power
P = W/t or ΔE/t or Fv
Kinetic Energy
KE = 1/2 mv^2
Gravitational Potential Energy
U=mgh
Elastic Potential Energy
U= 1/2 kx^2
Hooke’s Law
F= -kx
Frequency of a Wave
f= 1/T
Speed of a Wave
v = fλ
Density
p= m/V
Buoyant Force
F= mg = pVg
Pascal’s Law
F1/A1 = F2/A2
Hydrostatic Pressure
P= Po + pgz
Continuity Equation
A1v1 = A2v2
Pressure
P= F/A
Ideal Gas Law
PV= nRT
Boyle’s Law
P1V1 = P2V2
Charle’s Law
V1/T1 = V2/T2
Avogadro’s Law
n1/V1 = n2/V2
Average Kinetic Energy of a Gas Particle
KE = 3/2KB T
van der Waals Equation of State
P = nRT/ V - nb
Heat Transfered
q= mcΔT
Change in Gibbs Free Energy
ΔG=ΔH - TΔS
Sound Level
β = 10 log (I/Io)
Sound Intensity
I = P/A
Waves in Open Pipes
λ = 2L/n f = v/λ = nv/2L
Waves in Closed Pipes
λ = 4L/n f= v/λ = nv/4L
Energy of a Photon
E= hf
Index of Refraction
n = c/v
Snell’s Law
n1 sinθ1 = n2sinθ2
Critical Angle
θc = sin-1 (n2/n1)
Optics Equation
1/f = 1/o + 1/i = 2/r
Magnification
m = -1/o
Ohm’s Law
V = IR
Power
P = IV or I^2R
Current
I = Q/t
Resistors in Series
Rs = R1 + R2 + R3
Resistors in Parallel
1/R1 = 1/R1 + 1/R2 + 1/R3
Capacitance
C= Q/V
Capacitors in Series
1/Cs = 1/C1 + 1/C2 + 1/C3
Capacitors in Parallel
Cp = C1 + C2 + C3
Magnetic Force
F= qvB sinθ
Gravity Constant (g)
10 m/s
Speed of Light Constant (c)
3 x 10^8 m/s
Avogadro’s Number (N)
6 x 10^23
Gas Constant (R)
- 3 K K
8. 3 x 10^-2 L ATM/molK
Planck’s Constant (P)
6.6 x 10^-34 J sec
4 x 10^-15 eVs
Faradays Constant (F)
96500 C/mol
proton charge
1.6 x 10^-19 (electron is same magnitude just negative)
