http://www.ck12.org Chapter 9. Rotational Motion
ω= 2 π/T= 2 πfangular velocity and period are simply related
θ(t) =θ 0 +ω 0 t+ 1 / 2 αt^2ω(t) =ω 0 +αtω^2 =ω^20 + 2 α( 4 θ)the ’Big Three’ equations work for rotational motion too!
α=τnet/Iangular accelerations are produced by net torques,with inertia opposing acceleration; this is the rotational analog of
a=Fnet/m
τnet=Στi=Iαthe net torque is the vector sum of all the torques acting on the object. When adding torques it is necessary to subtract
CW from CCW torques.
τ=r×F=r⊥F=rF⊥individual torques are determined by multiplying the force applied by theperpendicularcomponent of the moment
arm
L=Iωangular momentum is the product of moment of inertia and angular velocity.
τ= 4 L/ 4 tMEDIA
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