A bicycle is traveling north at 5.0 m/s. The mass of the wheel, 2.0 kg, is uniformly distributed along the rim, which has a radius of 20 cm. What are the magnitude and direction of the angular momentum of the wheel about its axle?

Respuesta :

Answer:2

Explanation:

Given

Velocity of bicycle is 5 m/s towards north

radius of rim [tex]r=20 cm[/tex]

mass of rim [tex]m=2 kg[/tex]

Angular momentum [tex]\vec{L}=I\cdot \vec{\omega }[/tex]

[tex]I=mr^2=2\times 0.2^2=0.08 kg-m^2[/tex]

[tex]\omega =\frac{v}{r}=\frac{5}{0.2}=25 rad/s[/tex]

[tex]L=0.08\times 25=2kg-m^2/s[/tex]  

direction of Angular momentum will be towards west