7.1 Rotational Kinematics

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Rotational Kinematics

Linear Angular Relation
Displacement Δx Δθ s = rΔθ
Velocity v = Δx/Δt ω = Δθ/Δt vt = rω
Acceleration a = Δv/Δt α = Δω/Δt at = rα
CONVERSIONS
π rad = 180°
1 rev = 2πr
LINEAR KINEMATICS ROTATIONAL KINEMATICS
No a Uniform a No α Uniform α
Δx = vt Δx = vavg t Δθ = ωt Δθ = ωavgt
Δx = v0 t + ½at2 Δθ = ω0 t + ½αt2
vf 2 = v02 + 2aΔx ωf 2 = ω02 + 2αΔθ
vf = v0 + at ωf = ω0 + αt