Subjects/Basic Physics/RotationSection 8RotationAngular accelerationCopy LaTeXα=dtdωView detail →Angular velocity with constant accelerationCopy LaTeXωf=ω0+αtView detail →Angular position with constant accelerationCopy LaTeXθ=θ0+ω0t+21αt2View detail →Angular equation without timeCopy LaTeXωf2=ω02+2αΔθView detail →Moment of inertia — particlesCopy LaTeXI=i∑miri2View detail →Moment of inertia — continuous bodyCopy LaTeXI=∫r2dmView detail →Parallel axis theoremCopy LaTeXI=ICM+Md2View detail →TorqueCopy LaTeXτ=r×FMagnitudeτ=rFsinθView detail →Second law of rotationCopy LaTeX∑τ=IαView detail →Rotational kinetic energyCopy LaTeXKrot=21Iω2View detail →Rolling without slippingCopy LaTeXvCM=RωEquivalent formaCM=RαTotal kinetic energyK=21MvCM2+21ICMω2View detail →Angular momentum of a particleCopy LaTeXL=r×pView detail →Angular momentum of a rigid bodyCopy LaTeXL=IωView detail →Torque and angular momentumCopy LaTeX∑τext=dtdLView detail →Conservation of angular momentumCopy LaTeXLi=LfFor a body whose moment of inertia changesIiωi=Ifωfzero net external torque.View detail →
Rolling without slippingCopy LaTeXvCM=RωEquivalent formaCM=RαTotal kinetic energyK=21MvCM2+21ICMω2View detail →
Conservation of angular momentumCopy LaTeXLi=LfFor a body whose moment of inertia changesIiωi=Ifωfzero net external torque.View detail →