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Key Equations

# Key Equations

 Angle of rotation $Δθ=ΔsrΔθ=Δsr$ Angular speed: $ω=ΔθΔtω=ΔθΔt$ Tangential speed: $v=rωv=rω$
 Centripetal acceleration $ac=v2rac=v2r$ or $ac=rω2ac=rω2$ Centripetal force $Fc=macFc=mac$, $Fc=mv2rFc=mv2r$, $Fc=mrω2Fc=mrω2$
 Angular acceleration $α=ΔωΔtα=ΔωΔt$ Rotational kinematic equations $θ=ωtθ=ωt$, $ω=ω0+αtω=ω0+αt$, $θ=ω0t+12αt2θ=ω0t+12αt2$, $ω2=ω02+2αθω2=ω02+2αθ$ Tangential (linear) acceleration $a=rαa=rα$ Torque $τ=rFsinθτ=rFsinθ$