Final answer:
The angular velocity of the ball is 12π radians/second.
Step-by-step explanation:
Angular velocity is the vector measure of the rotation rate, which refers to how fast an object rotates or revolves relative to another point. In simple words, angular velocity is the time rate at which an object rotates or revolves about an axis.
The angular velocity of an object is the rate at which it rotates or moves around a fixed point. In this case, the ball is being swung around the pole, so its angular velocity is the rate at which it completes revolutions. To find the angular velocity in radians per second, we can use the formula: Angular velocity = 2πf
where f is the frequency of rotation in revolutions per second. Given that the ball is rotating at a rate of 6 revolutions per second, the angular velocity would be: Angular velocity = 2π(6) = 12π radians/second