Multiple-Concept Example 7 explores the approach taken in problems such as this one. The blades of a ceiling fan have a radius of 0.357 m and are rotating about a fixed axis with an angular velocity of +1.03 rad/s. When the switch on the fan is turned to a higher speed, the blades acquire an angular acceleration of +2.89 rad/s2. After 0.695 s have elapsed since the switch was reset, what is (a) the total acceleration (in m/s2 ) of a point on the tip of a blade and (b) the angle ϕ between the total acceleration a→ and the centripetal acceleration a→c (See Figure b)? (a) (b)