iSoul In the beginning is reality.

Motion Equations

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

Parallel Equations of Motion

RA Gillmann, 2020-06-19 Displacement + Time Dischronment + Stance Spatial Angles + Time Temporal Angles + Stance
Stance / Distance |

Time / Distime

Displacement: s

Time | distime: t

Dischronment: t

Stance | distance: s

Spatial angle: θ = s/r

Temporal arc: t

Temporal angle: φ = t/q

Spatial arc: s

Radius | Period Spatial radius

r = S/(2π) = qv

Temporal 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 | Retardation Radial acceleration

a = v2/r =2 = v/q = r/q²

Radial retardation

b = w2/q =2 = w/r = q/r²

Angular acceleration

α = dω/dt = aT/r

Angular retardation

β = dκ/ds = bT/q

Tangential acceleration

a = ω×v = Tdv/dt = rα

Tangential retardation

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)

Temporal frequency

f = ω/(2π) = 1/T

Spatial 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 | Fulmentum Momentum: p = mv Fulmentum: q = nw Angular momentum: L = Iω Angular fulmentum: Γ = Jκ
Kinetic Energy and Lethargy Kinetic energy: EK = ½mv2 Kinetic lethargy: LK = ½nw2 Angular energy EA = ½Iω2 Angular lethargy LA = 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 = Fs Linear repose: Y = Rt Angular work: W = τθ Angular repose: Y = σφ
Power | Indolence Linear power: P = Fv Linear placidity: Z = Rw Angular power: P = τω Angular placidity: Z = σκ