Question

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.250 rev/s. The magnitude of the angular acceleration is 0.912 rev/s² . Both the the angular velocity and angular accleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.750 m.

a. Compute the fan's angular velocity magnitude after time 0.210 s has passed.

b.Through how many revolutions has the blade turned in the time interval 0.210 s from Part A?

c.What is the tangential speed v_t of a point on the tip of the blade at time t = 0.210 s?

d.Calculate the magnitude a_t of the tangential acceleration of a point on the tip of the blade at time t = 0.210 s .

Express the acceleration numerically in meters per second squared.

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

Answer 1

tangential acceleration is the rate of change of tangential velocity with respect to time .