Kinematics Formulas
The Kinematic Equations apply to one-dimmensional motion with costant acceleration from point 1, situated d1 from a point of reference to point 2, situated d2 from the same point of reference. 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
