Rotational Motion
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Created by:
gggorillaz on November 9, 2010
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Description:
Equations for Rotational Motion part on the physics sheet given to our class by Mrs. Wakumoto
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31 terms
Terms | Definitions |
|---|---|
 s= | rθ= |
| v=ds/dt= | rω= |
| a=dv/dt=d²s/dt²= | rα= |
| Δθ= | θ(final)+θ(initial)= |
| ω=dθ/dt= | v/r= |
| α=dω/dt=d²θ/dt²= | a(t)/r= |
| θ(t)= | θ₀+ω₀t+1/2αt²= |
| ω(t)= | ω₀+αt= |
| α(t)= | α= |
| ω²(final)+ω²(initial)= | 2α(Δθ)= |
| v= | 2πr/T= |
| a=v²/r= | ω²r= |
| T=2πr/v= | 2π/ω= |
| K= | 1/2mv²+1/2Iω²= |
| v(com)= | Rω= |
| v(top)= | 2v(com)= |
| I(particle or hoop)= | mr²= |
| I(system)= | Σmr²= |
| I(mass)= | ∫r²dm= |
| I(disk)= | 1/2mr²= |
| I(sphere)= | 2/5mr²= |
| Parallel axis theorem=I= | I(com)+Md²= |
| F(g)= | -GMm/r²= |
| U(g)= | -GMm/r= |
| v(planetary motion)= | √(GM/r)= |
| v(escape)= | √(2GM/r)= |
| K(planetary)= | -1/2U(g)= |
| E(mech, planetary motion)= | 1/2U(g)= |
| τ=r X F= | Frsin(θ)= |
| τ(forces)= | F⊥r=Fr⊥= |
| τ(inertia)= | Iα= |
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