Question

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.290 rev/s . The magnitude of the angular acceleration is 0.887 rev/s2 . Both the the angular velocity and angular accleration are directed clockwise. The electric ceiling fan blades form a circle of diameter 0.760 m .

a.) Compute the fan's angular velocity magnitude after time 0.209 s has passed. Express your answer numerically in revolutions per second.

b.) Through how many revolutions has the blade turned in the time interval 0.209 s from Part A? Express the number of revolutions numerically.

c.) What is the tangential speed v_tan(t) of a point on the tip of the blade at time t = 0.209 s? Express your answer numerically in meters per second.

d.) What is the magnitude a of the resultant acceleration of a point on the tip of the blade at time t = 0.209 s? Express the acceleration numerically in meters per second squared.

Answer 1