Physics Flashcards
Torque
T = rFsin(theta)
Hydrostatic Pressure
Psub = pgh
Equivalents of Pressure
1 atm
760 mmHg
10^5 Pascals
760 Torr
Density
p = m/v
Specific Gravity
SG = p of fluid / p of water
Absolute Pressure
Pabsolute = Phydrostatic + Patmospheric
Gauge Pressure
Pgauge = Psystem - Patmospheric
Percent Submersion
% submerged = [(density of object) / (density of liquid)] * 100
Buoyant Force
Fbuoyant = pVg
Volume of Fluid Displaced
Vdisplaced = (mass of object) / (density of fluid)
Pascal’s Law
(F1 / A1) = (F2 / A2)
W = F1d1 = F2d2
Pythagorean Theorem
a^2 + b^2 = c^2
c = sqrt(a^2 + b^2)
Kinematic Equation 1
d = 1/2(vi + vf)t
Kinematic Equation 2
vf = vi + at
Kinematic Equation 3
delta(x) = (vi)(t) + 1/2(at^2)
Kinematic Equation 4
vf^2 = vi^2 + 2(a)(delta(x))
Newton’s First Law
If velocity is constant:
Fnet = 0
Newton’s Second Law
Fnet = ma
Newton’s Third Law
F(AB) = -F(BA)
Center of Mass
xcenter = (m1x1 + m2x2 + … + mkxk) / (m1 + m2 + … + mk)
Static Friction
Fmax = mu(s)N
Kinetic Friction
Fkinetic = mu(k)N
Gravitational Formula
Fgrav = G((m1m2) / r^2)
Centripetal Acceleration
a = (v^2) / r
Centripetal Force
Fc = (mv^2) / r
Hooke’s Law
Fspring = -kx
Work
W = |F|dcos(theta)
Power
P = W / delta(t)
Kinetic Energy
KE = 1/2(mv^2)
Potential Energy
PEgrav = mgh
Elastic Potential Energy
PEelastic = 1/2(kx^2)
Conservation of Energy
Keinitial + PEinitial = KEfinal + PEfinal
Work-Energy Theorem
W = delta(KE) = KEfinal - KEinitial
Work (Pressure-Volume Curve)
W = P * delta(V)
Kinetic Energy of Particle
KE = 1/2(mv^2)rms
Kinetic Energy of a Particle
KE = 3/2(kB)T
Root Mean Square of Velocity
v(rms) = sqrt(3RT / Mm)
Celsius to Fahrenheit
C = (F - 32) * 5/9
Fahrenheit to Celsius
F = (C * 9/5) + 32
First Law of Thermodynamics
delta(U) = Q - W
Thermal Expansion 1
delta(L) = alpha(L) * L * delta(T)
Thermal Expansion 2
delta(V) = alpha(V) * V * delta(T)
Ideal Gas Law
PV = nRT
n = 6 x 10^23
Pressure
P = F / A
Poiseuille’s Law
Q = ((pi)(t^4)(delta(P)) / (8(nu)(L))
Bernoulli’s Law
P1 + 1/2pv1^2 + pgh1 = P2 + 1/2pv2^2 + pgh2
Continuity Equation
v1A1 = v2A2
Pitot Tube
Pstag - Pstatic = 1/2pv^2
Resistance
R = p(l / A)
Conductance
G = sigma(A / l)
Coulomb’s Law
F = (kq1q2) / r^2
Electric Field
E = F / q = kQ / r^2
Electric Potential Energy
U = (kQq) / r
Electric Potential (Voltage)
V = U / q = kQ / r
Ohm’s Law
V = IR
Power
P = IV = (I^2)R = (V^2) / R
Current in Series
Itotal = I1 = I2 = … = In
Voltage in Series
Vsource = V1 + V2 + … + Vn
Resistance in Series
Rtotal = R1 + R2 + … + Rn
Current in Parallel
I total = I1 + I2 + … + In
Voltage in Parallel
Vtotal = V1 = V2 = … = Vn
Resistance in Parallel
1 / Rtotal = (1 / R1) + (1 / R2) + … + (1 / Rn)
Capacitance
C = Q / V
C is capacitance in Farads (F)
Q is charge in Coulombs (C)
V is voltage in Volts (V)
Capacitance
C = epsilon(A / d)
Electric Field Between Capacitor Plates
E = V / d
Capacitance in Series
1 / Ctotal = (1 / C1) + (1 / C2) + … + (1 / Cn)
Capacitance in Parallel
Ctotal = C1 + C2 + … + Cn
Magnetic Field Around a Wire
B = (mu * I) / (2 * pi * r)
Magnetic Force on a Charge
Fb = qvBsin(theta)
Magnetic Force on a Wire
Fb = ILBsin(theta)
Period of a Mass on a Spring
T = 2 * pi * sqrt(m / k)
Period of a Pendulum
T = 2 * pi * sqrt(L /g)
Velocity of a Wave
v = lambda * f
Speed of Sound
Vsound = sqrt(B / p)
Decibel Level
dB = 10log(I / I0)
Doppler Effect
f’ = f0 ((vsound + vobserver) / (vsound + vsource))
Standing Wave for a String or Pipe Open at Both Ends
lambda = 2L / n
Standing Wave for a Pipe Closed at One End
lambda = 4L / n(odd)
Energy of an Electromagnetic Wave
E = hf = hc / lambda
E = energy J
h = Planck constant = 6.626 x 10^-34 J/s
f = frequency = c/wavelength = 3x10^8 m/s/wavelength m = s^-1
Refractive Index
n = c / v
n=index
c = 3 x 10^8 m/s (speed of light in vaccum)
v = phase velocity of light in m/s
Snell’s Law
n1sin(theta1) = n2sin(theta2)
Single-Slit Diffraction
Asin(theta) = m * lambda
Double-Slit Diffraction Maximum
Dsin(theta) = n * lambda
Double-Slit Diffraction Minimum
Dsin(theta) = (n + 1/2) * lambda
Thin Lens Equation
(1 / f) = (1 / o) + (1 / i)
Magnification
m = -(i / o)
Power of a Lens
P = 1 / f (can be in diopters)
Mass-Energy Equivalence
E = mc^2
Photoelectric Effect
KEmax = Eincident - Ework
Rydberg Equation
(1 / lambda) = R((1 / n1^2) - (1 / n2^2))
Alpha Decay
(AZ)X —> (A - 4)(Z - 2)Y + Helium nucleus
Beta-Minus Decay
(AZ)X —> (A)(Z + 1)Y + electron
Beta-Plus Decay
(AZ)X —> (A)(Z - 1)Y + positron
Gamma Decay
(AZ)X* —> (AZ)X + high energy radiation
Electron Capture
(AZ)X + electron —> (A)(Z - 1)Y
Exponential Decay
n = n0 * e^(-lambda * t)
Half-Life
t(1/2) = 0.693 / lambda
Radioactive Decay Law
N(t) = N (1/2) ^ (t/T)
T = half life
Power or work
P = W/T
W = P X T
T = time
power units
Watt
= Joule / sec
=kg / (m^2 x s^3)
Work units
Joule
=Nm
=kg x m/s^2
Power consumed
P = mgh/time
velocity
=distance/time
Energy with voltage and capacitance
E = 1/2 x C x V^2
C= capacitance in F
V=volts in V
E= J
resistivity
resistivity = 1/conductivity
current is
charge (C) / time (s) AKA Ampere
1 L
1000 cm^3
area of a circle
=pi x r^2