Answer:
0.5236 radians per minute
or
0.00872665 radians per second
Explanation:
Let's first define angular speed
Angular speed is the rate at which an object changes it angles which we measure in radians in a given time. Angular speed has a magnitude (a value only whereas velocity is a vector with speed and direction)
The angular speed, ω of an object is given by the formula
ω = θ/t
where θ is the angle in radians
1 full revolution is 360° or 2π radians
t = time taken for completing θ radians of rotation
We are given that the Ferris wheel completes 1 full revolution in 12 minutes
1 full revolution = 2π radians
t = 12 minutes
Angular speed = ω = θ/t = 2π/12 radians/minute
ω = 0.5236 radians per minute
or in radians per second
ω = 0.5236/60 = 0.00872665 radians per second