Physics Equations and Information

Symbols

A = area or amplitude                         a = acceleration                                  b = bulk modulus or volume expansion

C_p = specific heat                               e = emissivity                                     F = Force 

f = frequency                                      h = height                                           I = Moment of inertia

J = Impulse                                         KE = kinetic energy                           k = spring constant or thermal conductivity

l = length or lever arm                        L_c = Latent Heat                                L = Angular Momentum

m = mass                                            N = normal force                                P = power or pressure

p = momentum                                   PE or U = Potential Energry               Q = energy 

r = radius or distance                          S = Shear modulus                             s = arc length 

T = period                                           t = time                                               v = velocity or speed

V = volume                                         W = work                                           x = displacement or position

y = vertical distance                           Y = Youngs modulus                         m = coefficient of friction

q = angle or angular displacement      a = angular acceleration or linear expansion 

t = torque                                           w = angular velocity                           r = density 

Prefixes                                                                      Area and Volume

Rectangle: A = bh

Triangle: A = ½ bh

Circle:

            A = pr²

            C = 2pr

Parallelepiped: v = lwh

Cylinder:

            V = pr²h

            SA = 2prl + 2pr²

Sphere:

            V = 4/3 pr³

            SA = 4pr²

Constants and Coefficients

1 atm = 1.0x10⁵ N/m²= 1.0x10⁵ Pa   c = 3.00x10⁸m/s                                 e₀ = 8.85x10^-12 C²/N•m²

g = 9.8m/s² 

G = 6.67x10^-11 m³/kg•s^s                    k_B = 1.38x10^-23 K/K                          N = 6.022x10²³

R = 8.31 J/(mol•K)                             s = 5.67x10^-8 J/(s•m⁴•K⁴)                 density Au = 19300 kg//m³

density H₂O= 1000 kg/m³

Linear Expansion of Steel = 12x10^-6 m/Cº     Volume Expansion of H₂O = 207 x10^-6 m³/Cº

C_p of H₂O = 4186 J/(kg•Cº)

Values for Trig Functions of Common Angles

Linear Motion:

Forces:

Circular Motion:

Work and Energy:

Momentum:

Rotational Kinematics:

Rotational Dynamics: 

Elasticity

Harmonic Motion

Fluids

                                                                        Volume Flow:

Continuity of flow:

Bernoulli’s Equation:

Efflux Speed (Torricelli’s Theorem):

Temperature and Heat