Question #288641

Is it TRUE that angular momentum is conserved?



State the law that governs it

1
Expert's answer
2022-01-21T08:26:03-0500

Answer


  • I do not know if this question corresponds to a previous one.
  • However, the angular momentum of a system (L=Iω\small L= I\omega ) is theoretically conserved whenever there is no net external torque acting on it.
  • The law says, whenever there is no external torque acting on a system, it experiences no change in its angular momentum.
  • This in formula notation is as follows,

τ=ΔLΔt=L2L1Δt0=L2L1ΔtL2=L1\qquad\qquad \begin{aligned} \small \tau&=\small \frac{\Delta L}{\Delta t}\\ &=\small \frac{L_2-L_1}{\Delta t}\\ \small0&=\small \frac{L_2-L_1}{\Delta t}\\ \small L_2&=\small L_1 \end{aligned}


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