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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
Pressure: P = F/A Newton&aposs Second Law: F = m·a Force of kinetic friction: Ff = μ·N Hooke&aposs Law: F = -k·x Centripetal Force: Fc = m·v2/R Centripetal acceleration: ac = v2/R
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
Newtonian gravity formula: Fg = G·m·M/R2 Kepler&aposs Third Law: T2/a3 = ct.
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/Qhot)·100
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