The table below list some concepts introduced in introductory physics text books, and the equations associated with these concepts.
Fluid Mechanics: |
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| Bernoulli's equation: | P + ρgh + ½ρv2 = constant. |
Kinetic Theory: |
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| Ideal gas law: | PV = nRT = NkBT |
| Kinetic theory: | PV = (2/3)N(m<v2>/2) |
| Avg. kinetic energy: | <KE> = (3/2)kBT |
Temperature and Heat: |
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| Linear expansion: | Δl = αlΔT. |
| Volume expansion: | ΔV = βVΔT |
| Thermal conductivity: | ΔQ/Δt = -kA ΔT/Δx |
| Specific heat capacity: | c = ΔQ/(mΔT) |
Thermodynamics |
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| First law of thermodynamics: | ΔU = ΔQ - ΔW (ΔW = work done by the system) |
| Carnot cycle: | Q1/T1 = Q2/T2 |
| Efficiency of a heat engine: | e = W/Qhigh = (Qhigh - Qlow)/Qhigh |
| COP of refrigerator: | COP = Qlow/(-W) = Qlow/(Qhigh - Qlow) |
| COP of heat pump: | COP = Qhigh/(-W) = Qhigh/(Qhigh - Qlow) |
| Change in entropy: | ΔS = ∫if dS = ∫if dQr/T, dS = dQ/T |
Radiation laws |
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| Wien's law: | λmax(nm) = 3*106/T(K). |
| Stefan-Boltzmann law: | Radiated power = σ * T4 * Area. |
| Planck's formula | ρ(ν,T) = (8πν2/c3)hν/(exp(hν/(kT)) - 1) |