Final answer:
The question involves applying kinematic equations from high school Physics to find the time it takes for an object with a given initial angular velocity and angular acceleration to come to a stop.
Step-by-step explanation:
The subject in question pertains to Physics, specifically related to rotational motion and the application of kinematic equations in the determination of the time taken for an object to come to rest. The formula provided suggests an initial angular velocity (ω0) and an angular acceleration (α) that are used to calculate the time (t) it takes for a reel to stop spinning. Utilizing the kinematic equation ω = ω0 + αt, where ω is the final angular velocity, one can solve for t by rearranging the equation to t = (ω - ω0)/α. Substituting the given values of initial angular velocity (220 rad/s) and angular acceleration (-300 rad/s2), the time taken for the object to stop can be calculated.