AP Physics 1&2 Unit 7 Rotational Kinematics

ω

θ/∆t

Rotational Kinematic Equations

ωf = ωi + αt
∆θ = ωit + 1/2αt²
∆θ = (ωi + ωf)t/2
ωf² = ωi² +2α∆θ

Equations for no slipping

s = rθ
v = rω = ∆s/∆t
a = rα

KE

½Iω²

∑T

Iα

Angular impulse

∑T∆t = I∆ω

Angular Momentum

L = Iω = pl

I of a sphere

2/5 (mr²)

Rotational Inertia

∑mr²

Ratios of elliptical orbit

v₁/v₂ = r₂/r₁

Torque Formula

T = Fl

Friction formulas

F = µkN
Fsmax = µsN

Work of non conservative forces

W = Ef - Ei

Equations for Potential and Kinetic energy (linear)

PE = mgh
KE = ½mv²
PEg = -Gm₁m₂/r

Translational Kinematic Equations

Vf = Vi + at
∆x = Vit + ½at²
∆x = (Vi + Vf)t/2
Vf² = Vi² + 2a∆x