Final answer:
The angular speed of the fan in radians per minute is 80π.
Step-by-step explanation:
The angular speed of the fan in radians per minute can be calculated using the formula:
Angular Speed = 2π * Revolutions per minute
Since the fan turns at a rate of 40 revolutions per minute, the angular speed would be:
Angular Speed = 2π * 40 = 80π radians per minute