The rates of motion for translational (linear) and rotational (angular) motion in the time domain and the distance domain are as follows:
Time Domain
Variable | Translational Motion | Rotational Motion |
Location | x | θ |
Velocity | v = dx/dt | ω = dθ/dt |
Acceleration | a = dv/dt | α = dω/dt |
Distance Domain
Variable | Translational Motion | Rotational Motion |
Chronation | z | ϕ |
Lenticity | w = dz/ds | ψ = dϕ/ds |
Relentment | b = dw/ds | β = dϕ/ds |