Final answer:
To calculate the angular speed of the ceiling fan in radians per minute, multiply the rate of the fan in revolutions per minute by 2π radians per revolution, resulting in 4π radians per minute.
Step-by-step explanation:
The question involves finding the angular speed of a ceiling fan in radians per minute given its rate of rotation in revolutions per minute. The angular speed, ω (in radians per minute), is calculated by converting the number of revolutions per minute into radians per minute using the fact that there are 2π radians in one revolution. Since the fan turns at a rate of 2 revolutions per minute, we multiply this rate by 2π to find the angular speed in radians per minute.
To find the angular speed, ω, we use the formula:
ω = revolutions per minute * 2π radians/revolution
ω = 2 revolutions/minute * 2π radians/revolution
ω = 4π radians/minute