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SAT II物理力学常见公式Physics Formulas - Mechanics

Kinematics Formulas

The Kinematic Equations apply to one-dimmensional motion with costant acceleration from point 1, situated d₁ from a point of rerence to point 2, situated d₂ from the same point of rerence. v₁ is the velocity at point 1 and v₂ is the velocity at point 2. v₂ = v₁ + a·t d₂ = d₁ + (v₁ + v₂)·t/2 d₂ = d₁ + v₁·t + a·t²/2 d₂ = d₁ + v₂·t - a·t²/2 v₂² = v₁² + 2a(d₂ - d₁) Average velocity: v_av = Δd/Δt Average acceleration: a_av = Δv/Δt Rotational kinematics equations with constant angular acceleration: ω₂ = ω₁ + α·t Φ₂ = Φ₁ + (ω₁ + ω₂)·t/2 Φ₂ = Φ₁ + ω₁·t + α·t²/2 Φ₂ = Φ₁ + ω₂·t - α·t²/2 ω₂² = ω₁² + 2α(Φ₂ - Φ₁) Average angular velocity: ω_av = Δθ/Δt Average angular acceleration: α_av = Δω/Δt Frequency: f = ω/2π Period: T = 2π/ω Relations between angular and linear variables: l = Φ·r v = ω·r a = α·r

Dynamics Formulas

Pressure: P = F/A Newton&aposs Second Law: F = m·a Force of kinetic friction: F_f = μ·N Hooke&aposs Law: F = -k·x Centripetal Force: F_c = m·v²/R Centripetal acceleration: a_c = v²/R

Work, Energy, Conservation Laws Formulas

Work: W = F · d = Fdcos(α) Potential Energy: PE = m·g·h Kinetic Energy: KE = m·v²/2 Mechanical Energy: E = KE + PE Instantaneous Power: P = F·v The Work-Energy Theorem: W = ΔKE

Gravitation Formulas

Newtonian gravity formula: F_g = G·m·M/R² Kepler&aposs Third Law: T²/a³ = ct.

SAT II物理热力学常见公式Physics Formulas - Thermodynamics

Heat added or emoved: Q = m·c·ΔT Change in Internal Energy: ΔU = Q - W Boyle&aposs Law: P₁V₁ = P₂V₂ Charles&aposs Law: V₁/T₁ = V₂/T₂ Efficiency of a heat engine(%): E = (W/Q_hot)·100

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