What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? use 3.14 for π.

The angular velocity is defined by the position angle over time.
Get first the position angle of the pendulum which has the formula of s = rθ where s = arc length, r = radius (or length of the pendulum's string), and θ = position angle. Getting θ, we have θ = s/r = 14.13 ft / 6 ft = 2.355 rad
Thus, the angular velocity is θ/t where t = time; so 2.355 rad / 3 sec = 0.785 rad/sec
Hope this helps.