Rotational Motion

31 terms by gggorillaz 

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Equations for Rotational Motion part on the physics sheet given to our class by Mrs. Wakumoto

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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