Answer:
[tex]\omega=15 \ rad/s[/tex]
Explanation:
given,
radius of circle = 1.8 m
mass of the ball = 0.1 Kg
linear speed of the ball = 27 m/s
angular velocity of orbit = ?
[tex]v = r \omega[/tex]
ω is the angular speed of the circle
[tex]\omega=\dfrac{v}{r}[/tex]
[tex]\omega=\dfrac{27}{1.8}[/tex]
[tex]\omega=15 \ rad/s[/tex]
the angular velocity of the orbit is [tex]\omega=15 \ rad/s[/tex]
