The blades of a ceiling fan have a radius of 0.348 m and are rotating about a fixed axis with an angular velocity of +1.63 rad/s. When the switch on the fan is turned to a higher speed, the blades acquire an angular acceleration of 2.16 rad/s^2. After 0.545 s have elapsed since the switch was reset, what are the following?

Question

The blades of a ceiling fan have a radius of 0.348 m and are rotating about a fixed axis with an angular velocity of +1.63 rad/s. When the switch on the fan is turned to a higher speed, the blades acquire an angular acceleration of 2.16 rad/s^2. After 0.545 s have elapsed since the switch was reset, what are the following?
(a) the total acceleration (in m/s^2) of a point on the tip of a blade
(b) the angle between the total acceleration and the centripetal acceleration

bobpursley · Answer

a. acceleration=w^2*radius b. angle=wi*time+1/2 angularscceleration*time^2