Final answer:
The angular speed of a wheel turning at 250 revolutions per minute, with each revolution being 2π radians, is 500π radians per minute. However, this result is not reflected in the given options, indicating a possible error in the question or the answer choices.
Step-by-step explanation:
To calculate the angular speed of the wheels in radians per minute, we need to use the formula:
Angular Speed = Revolutions per Minute × Radians per Revolution
Since one revolution is equal to 2π radians (approximately 6.28319 radians), to find the angular speed in radians per minute, we multiply the given revolution rate, 250 revolutions per minute, by 2π.
Angular Speed = 250 rev/min × 2π rad/rev
Angular Speed = 500π radians per minute
However, none of the proposed answers match 500π radians per minute, which suggests there may be a typo in the question or the set of answers provided. Thus, based on the provided information and calculation, the correct angular speed is 500π radians per minute, which is not listed in the options A, B, C, or D.