Answer:
20/27 ≈ 0.741 rad/s
Step-by-step explanation:
You want to know the angular speed of a 5.4 ft capstan with an edge speed of 2 ft/s.
Radian
One radian of arc has a length equal to the radius of the capstan:
1 radian arc length = (5.4 ft)/2 = 2.7 ft
If the edge of the capstan is moving 2 ft/s, that corresponds to an angular speed of ...
(2 ft/s)/(2.7 ft/rad) = 2/2.7 rad/s = 20/27 rad/s ≈ 0.740740... rad/s
The angular speed is about 0.741 radians per second.
