(Solved): An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude o ...

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.260 rev $/\mathrm{s}$. The magnitude of the angular acceleration is $0.904\mathrm{rev}/{\mathrm{s}}^2$. Both the the angular velocity and angular accleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter $0.700\mathrm{m}$. Compute the fan's angular velocity magnitude after time $0.190\mathrm{s}$ has passed. Express your answer numerically in revolutions per second. Through how many revolutions has the blade turned in the time interval $0.190\mathrm{s}$ from Part A? Express the number of revolutions numerically. What is the tangential speed $v_t$ of a point on the tip of the blade at time $t=0.190\mathrm{s}$ ? Express your answer numerically in meters per second. Calculate the magnitude $a_t$ of the tangential acceleration of a point on the tip of the blade at time $t=0.190\mathrm{s}$ Express the acceleration numerically in meters per second squared. Calculate the magnitude $a_r$ of the radial (or centripetal) acceleration of the point at the end of the fan blade.