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: vav = Δd/Δt

　　Average acceleration: aav = 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: ωav = Δθ/Δt

　　Average angular acceleration: αav = 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's Second Law: F = m·a

　　Force of kinetic friction: Ff = μ·N

　　Hooke's Law: F = -k·x

　　Centripetal Force: Fc = m·v2/R

　　Centripetal acceleration: ac = 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: Fg = G·m·M/R2

　　Kepler's 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's Law: P1V1 = P2V2

　　Charles's Law: V1/T1 = V2/T2

　　Efficiency of a heat engine(%): E = (W/Qhot)·100

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