Answer:
The angular velocity of the wheel is 1080 rad/min.
Explanation:
Let the radius of the wheel is 16 inches. If the speed of the wheel is 24 ft/s. We need to find the angular speed of the wheel.
Since, 1 ft/s = 720 in/min
So, 24 ft/s = 17280 in/min
Let [tex]\omega[/tex] is the angular velocity of the wheel. It is given by :
[tex]v=r\omega[/tex]
[tex]\omega=\dfrac{v}{r}[/tex]
[tex]\omega=\dfrac{17280\ in/min}{16\ in}[/tex]
[tex]\omega=1080\ rad/min[/tex]
So, the angular velocity of the wheel is 1080 rad/min. Hence, this is the required solution.
