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31 terms

Rotational Motion

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