Physics

# Key Equations

PhysicsKey Equations

### 6.1Angle of Rotation and Angular Velocity

 Angle of rotation $Δθ= Δs r Δθ= Δs r$ Angular speed: $ω= Δθ Δt ω= Δθ Δt$ Tangential speed: $v=rω v=rω$

### 6.2Uniform Circular Motion

 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 $F c =m a c F c =m a c$, $F c =m v 2 r F c =m v 2 r$, $F c =mr ω 2 F c =mr ω 2$

### 6.3Rotational Motion

 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 $τ=rFsinθ τ=rFsinθ$