Answer:
Angular speed, [tex]\omega=100\ rad/s[/tex]
Explanation:
Given that,
Total mass of the bucket, m = 24 kg
Radius of the cylinder, r = 0.04 m
Speed of the bucket, v = 4 m/s
To find,
The angular speed of the cylinder at this instant
Solution,
The relation between the linear speed and the angular speed is given by :
[tex]v=r\times \omega[/tex]
[tex]\omega=\dfrac{v}{r}[/tex]
[tex]\omega=\dfrac{4\ m/s}{0.04\ m}[/tex]
[tex]\omega=100\ rad/s[/tex]
Therefore, the angular speed of the cylinder at this instant is 100 rad/s.
