Angular velocity refers to the rate of change of angular displacement of a particle in a given time. The value of angular velocity specifies the rotational speed with which an object is travelling on its axis.
Mathematically, angular velocity, W = D/T,
Where D is the change in angular displacement and T is the time taken.
From the question given,
T = 3 second
The arc of the circle is 14.13 feet
The diameter of the circle is 12 foot.
The circumference of the circle is diameter * Pi = 12 * 3.14 = 37.7 feet.
14.13/37.7 = 0.3748
0.3748 * 360 degree = 134.93
134.93/3 = 45
Thus, the angular velocity is 45 degree/second.