Elements of Physics Equation List

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Equation Heading
Torque
τ = F × l	torque = Force × (perpendicular distance to torque)
Xcg=(W1X1+W2X2) / (W1+W2)	center of gravity
Fluids
ρ = m / V	mass density of a fluid = mass / volume
P = F / A	pressure = force / area
P2 = P1 + ρgh	pressure2 = pressure1 + mass density × gravity × height
Waves & Sound
ƒ = 1 / T	frequency = 1 / Period
v = λ / T = ƒλ	velocity = wavelength / Period = frequency × wavelength
λ = v / ƒ	wavelength = velocity / frequency
v = [ F / (m / L) ]1/2	velocity = [ Force on string / ( mass of string / Length of string ) ] 1/2
v = [ ( γ × k × K° ) / m ] 1/2	velocity = ( gamma × Boltzmann's constant × Kelvin° / particle mass ) 1/2
I = P / A	Intensity = Power / Area
β = ( 10dB ) log10 ( I / Io )	Intenstiy Level = 10dB log ( Intensity / Initial Intensity )
Diffraction
sin θ = λ / D	θ = wavelength / width of slit
sin θ = 1.22 ( λ / D )	θ = 1.22 ( wavelength / diameter of hole )
Doppler Effect
fo = fs [ 1 ± ( vo / v ) ] / [ 1 ± ( vs / v ) ]
fo = frequency of observer fs = frequency of source vo = velocity of observer vs = velocity of source v = velocity of sound
Coulomb's Law
F = k ( |q1| × |q2| / r2 )	Force = 8.99 × 10 9 ( |charge 1| × |charge 2| / distance2 )
E = F / q0	electric field = electrostatic force / test charge
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Motion
v2 = vo2 + 2ax	velocity2 = initial velocity2 + 2 × acceleration × displacement
v = vo + at	velocity = initial velocity + acceleration × time
x = vot + 1/2(at2)	displacement = initial velocity × time + 1/2(acceleration × time2)
R = vo2 sin 2θ / g	Range = initial velocity2 sin 2θ / gravity
G = 6.673 × 10-11 N•m2/kg2	Universal gravitational constant
F = G × m1 × m2 / r2	gravitational force = G × mass1 × mass2 / distance2