Final answer:
Without the provided revolutions per minute (rpm), the angular velocity in radians per minute cannot be determined from the given options. Angular velocity can be calculated by multiplying the rpm by 2π, but the necessary rpm is not specified in the question.
Step-by-step explanation:
To determine the angular velocity in radians per minute of wheels, we first have to understand the relationship between revolutions and radians. Since one revolution is equal to 2π radians, the angular velocity in radians per minute would be the number of revolutions per minute (rpm) multiplied by 2π.
Given options A through D represent different angular speeds in radians per minute. If the wheel turns at a rate of 1200 rpm, for instance, its angular velocity would be given by:
1200 rev/min × 2π rad/rev = 2400π rad/min.
To convert this into radians per second, we divide by 60 (since there are 60 seconds in a minute):
2400π rad/min ÷ 60 = 40π rad/s.
However, since the question does not provide the number of revolutions per minute, the answer cannot be determined without additional information. None of the given options A) 2π rad/min, B) 6π rad/min, C) 4π rad/min, D) 12π rad/min directly relate to the provided example of 1200 rpm. The student would need to supply the specific rpm to select the correct answer from the options.