8.5 Angular Momentum and Rotational Kinetic Energy
Angular Momentum and Rotational Kinetic Energy
| Rotational (Angular) | Translational | |
|---|---|---|
| Displacement | Δθ | Δr |
| Velocity | ω | ν |
| Acceleration | α | a |
| Moment of Inertia / Mass | I | m |
| Torque / Force | τ | F |
| Newton’s 2nd Law | ∑τ = Iα | F = ma |
| Momentum | L = Iω | p = mν |
| Kinetic Energy | KEr = ½ Iω2 | KEt = ½ mv2 |
| Work | W = τ(Δθ) | W = Fr |
| ANGULAR MOMENTUM & ROTATIONAL KINETIC ENERGY | |
|---|---|
| Angular Momentum | L = Iω |
| Conservation of Momentum | Li = LfIi ωi = If ωf |
| Net Torque = Rate of Change of Angular Momentum | ∑τ = ΔL / Δt |
| Rotational Kinetic Energy | KEr = ½ Iω2 |
| Conservation of Mechanical Energy | (KEt + KEr + PE)i = (KEt + KEr + PE)if ½ mvi 2 + ½ Iωi 2 + PE = ½ mvf 2 + ½ Iωf 2 + PE |
| Rotational Work | W = τ(Δθ) |
| Work-Kinetic Energy Theorem | Wτ = ΔKEr |