Motion Equations

The motion equations for classical physics below are also in a pdf here. Circular/harmonic motion equations are in a pdf here.

Parallel Equations of Motion
RA Gillmann, 2023-03-09	Displacement + Time	Dischronment + Stance	Angle & Arc Length	Angle & Arc Duration
Stance / Distance Time / Distime	Displacement: s Time \| distime: t	Dischronment: t Stance \| distance: s	Angle length: θ = s/r Arc length: s	Angle duration: φ = t/q Arc duration: t
Radius \| Period	Length radius r = S/(2π) = qv	Duration radius q = T/(2π) = rw	Angular velocity ω = φ/t = κ/u = 2πf = 2π/T = dθ/dt = dt/dφ = v_⊥/r = 1/q	Wavenumber (angular lenticity) κ = θ/s = ω/v = 2πh = 2π/λ = dθ/ds = ds/dφ = w_⊥/q = 1/r
Velocity \| Lenticity \| Wavenumber	Cross/Tangential velocity v_⊥ = ds/dt = r×ω = r/q = S/T	Cross/Tangential lenticity w_⊥ = dt/ds = q×κ = q/r = T/S
Acceleration \| Relentation	Radial acceleration a_∥ = v²/r = rω² = v/q = r/q²	Radial relentation b_∥ = w²/q = qκ² = w/r = q/r²	Angular acceleration α = dω/dt = aT/r	Angular relentation β = dκ/ds = bT/q
	Tangential acceleration a_⊥ = ω×v = Tdv/dt = rα	Tangential relentation b_⊥ = Tdw/ds = qβ
	Tangential acceleration a_⊥ = ω×v = Tdv/dt = rα	Tangential relentation b_⊥ = Tdw/ds = qβ
Wavelength \| Period	λ = S = 2πr = 2πvq	T = 2πq = 2πwr	λ = S = 2π/κ = 1/h	T = 2π/ω = 1/f
Revolutions \| Repetitions Frequency \| Circuncy	Revolutions N = θ/(2π)	Repetitions Z = φ/(2π)	Period frequency f = ω/(2π) = 1/T	Length frequency (circuncy) h = κ/(2π) = 1/λ
Displacement \| Dischronment	s = s₀ + vt	t = t₀ + wx	θ = θ₀ + ωt	φ = φ₀ + κs
First Equation of Motion	v = v₀ + at	w = w₀ + bs	ω = ω₀ + αt	κ = κ₀ + βs
Second Equation of Motion	s = s₀ + v₀t + ½at²	t = t₀ + w₀s + ½bs²	θ = θ₀ + ω₀t + ½αt²	φ = φ₀ + κ₀t + ½βs²
Third Equation of Motion	v² = v₀² + 2a∙(s – s₀)	w² = w₀² + 2b∙(t – t₀)	ω² = ω₀² + 2α∙(θ – θ₀)	κ² = κ₀² + 2β∙(φ – φ₀)
Inertia \| Facilia	Mass – linear inertia: m = 1/n	Vass-linear facilia: n = 1/m	Angular inertia: I = mr²	Angular facilia: J = nq²
Momentum \| Levamentum	Momentum: p = mv	Levamentum: q = nw	Angular momentum: L = Iω	Angular Levamentum: Γ = Jκ
Kinetic Energy and Lethargy	Kinetic energy: E_K = ½mv²	Kinetic lethargy: L_K = ½nw²	Angular energy E_A = ½Iω²	Angular lethargy L_A = ½Jκ²
Newton’s Second Law	Force: F = ma = dp/dt	Release: R = nb = dq/ds	Torque: τ = Iα = s × F	Strophence: σ = Jβ = t × R
Work \| Repose	Linear work: W = F ∙ s	Linear repose: Y = R ∙ t	Angular work: W = τ ∙ θ	Angular repose: Y = σ ∙ φ
Power \| Placidity	Linear power: P = F ∙ v	Linear placidity: Z = R ∙ w	Angular power: P = τ ∙ ω	Angular placidity: Z = σ ∙ κ