Published on Texas Gateway (https://texascourses.org)
Key Equations
Angle of rotation Δθ= Δs r Δθ= Δs r
Angular speed: ω= Δθ Δt ω= Δθ Δt
Tangential speed: v=rω v=rω
Centripetal acceleration a c = v 2 r a c = v 2 r or a c =r ω 2 a c =r ω 2
Centripetal force F c =m a c F c =m a c , F c =m v 2 r F c =m v 2 r , F c =mr ω 2 F c =mr ω 2
Angular acceleration α= Δω Δt α= Δω Δt
Rotational kinematic equations θ=ωt θ=ωt , ω= ω 0 +αt ω= ω 0 +αt , θ= ω 0 t+ 1 2 α t 2 θ= ω 0 t+ 1 2 α t 2 , ω 2 = ω 0 2 +2αθ ω 2 = ω 0 2 +2αθ
Tangential (linear) acceleration a=rα a=rα
Torque τ=rFsinθ τ=rFsinθ