An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of $0\mathrm{.}240$ rev$/$s$.$ The magnitude of the angular acceleration is $0\mathrm{.}915$ rev$/$s$2.$ Both the the angular velocity and angular accleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter $0\mathrm{.}800$ m$.$

Part A

Compute the fan's angular velocity magnitude after time $0\mathrm{.}207$ s has passed.

Express your answer numerically in revolutions per second.

Part B

Through how many revolutions has the blade turned in the time interval $0\mathrm{.}207$ s from Part A$?$

Express the number of revolutions numerically.

Part C

What is the tangential speed vt of a point on the tip of the blade at time t $=0\mathrm{.}207$ s$?$

Express your answer numerically in meters per second.

Part D

Calculate the magnitude at of the tangential acceleration of a point on the tip of the blade at time t $=0\mathrm{.}207$ s$.$

Express the acceleration numerically in meters per second squared.

Part E

Calculate the magnitude ar of the radial $($or centripetal$)$ acceleration of the point at the end of the fan blade.