iSoul Time has three dimensions

Motion Equations

The kinematic equations of motion have different forms depending on whether the motion is linear or angular (rotational) and whether space or time are 3D. They are given below and in a pdf here.

Parallel Equations of Motion
  Linear w/3D Space Linear w/3D Time Angular w/3D Space Angular w/3D Time
Length | Time Linear length: s Linear time: t Angular length: θ = s/R Angular time: φ = t/Q
Velocity | Legerity Linear/Tangential velocity

vT = ds/dt = Rω = R/Q = S/T

Linear/Tangential legerity

uT = dt/ds = Qψ = Q/R = T/S

Angular velocity

ω = dθ/dt = dt/dφ = v/R = 1/Q

Angular legerity

ψ = dφ/ds = ds/dθ = u/Q = 1/R

Acceleration | Expedience Radial acceleration

aR = v2/R = Rω2 = v/Q = R/Q²

Radial expedience

bR = u2/Q = Qψ2 = u/R = Q/R²

Angular acceleration

α = dω/dt = aT/R

Angular expedience

β = dψ/ds = bT/Q

Tangential acceleration

aT = dvT/dt = Rα

Tangential expedience

bT = duT/ds = Qβ

Radius Spatial radius

R = S/(2π) = Qv

Temporal radius

Q = T/(2π) = Ru

Spatial radius

R = s/θ = v/ω = 1/ψ

Temporal radius

Q = t/φ = u/ψ = 1/ω

Circumference | Period S = 2πvQ = 2πR T = 2πuR = 2πQ S = 2π/ψ T = 2π/ω
Revolutions | Repetitions

Frequency | Circuncy

N = θ/(2π) Z = φ/(2π) f = ω/(2π) = 1/T h = ψ/(2π) = 1/S
Displacement | Distimement s = s0 + vt t = t0 + ux θ = θ0 + ωt φ = φ0 + ψs
First Equation of Motion v = v0 + aTt u = u0 + bTs ω = ω0 + αt ψ = ψ0 + βs
Second Equation of Motion s = s0 + v0t + ½aTt² t = t0 + u0s + ½bTs² θ = θ0 + ω0t + ½αt2 φ = φ0 + ψ0t + ½βs2
Third Equation of Motion = v0² + 2a(s s0) u² = u0² + 2b(t t0) ω² = ω0² + 2α(θ θ0) ψ² = ψ0² + 2β(φ φ0)
Inertia | Facilia Mass (linear inertia): m Vass (linear facilia): n Rotational inertia: I = mr2 Rotational facilia: J = nt2
Momentum | Fulmentum Momentum: p = mv Fulmentum: q = nu Angular momentum: L = Iω Angular fulmentum: Λ = Jψ
Kinetic Energy | Extragy Kinetic energy: E = ½mv2 Kinetic extragy: V = ½nu2 Rotational KE: ½Iω2 Rotational KE: ½Jψ2
Force | Rush Force: F = ma Rush: Γ = nb Torque: τ = Iα Strophence: σ = Jβ
Work | Effort Linear work: W = Fs Linear effort: V = Γt Rotational work: W = τθ Rotational effort: V = σφ
Power | Exertion Linear power: Fv Linear exertion: Γu Rotational power: τω Rotational exertion: σψ