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A 1.4 kg bicycle tire with a radius of 33 cm rotates with an angular speed of 155 rpm. Find the angular momentum(L) of the tire, assuming it can be modeled as a hoop.

Respuesta :

The angular momentum of the tire is 0.394KGm^2/s.

To find the answer, we have to know more about the angular momentum.

How to find the angular momentum?

  • We have the expression for angular momentum as,

                             [tex]L=mvr[/tex]

where, m is mass of th body, v is the linear velocity and r is the radius of the circular orbit.

  • It is given that,

                 [tex]m=1.4kg\\r=33*10^{-2}m\\w=155rpm=2.58rps[/tex]

  • Thus, the linear velocity will be,

                   [tex]v=rw=33*10^{-2}*2.58=0.85m/s[/tex]

  • Then, the angular momentum, L will be,

                  [tex]L=mvr=1.4*0.85*33*10^{-2}=0.394Kgm^2/s[/tex]

Thus, we can conclude that, the angular momentum of the tire is 0.394KGm^2/s.

Learn more about the  angular momentum here:

https://brainly.com/question/27750449

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