An electric ceiling fan is rotating about a fixed axis with an initial angular v

Question

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.210 . The magnitude of the angular acceleration is 0.890 . Both the the angular velocity and angular accleration are directed clockwise. The electric ceiling fan blades form a circle of diameter 0.800 . Q1Compute the fan's angular velocity magnitude after time 0.201 has passed. Q2Through how many revolutions has the blade turned in the time interval 0.201 from Part A? Q3What is the tangential speed of a point on the tip of the blade at time = 0.201 ? Q4What is the magnitude of the resultant acceleration of a point on the tip of the blade at time = 0.201 ?

Explanation / Answer

wi=.21rad/sec

=.89 rad/s^2

clockwise

D=.8m

R=.4m

a)wf=wi+t

=>wf=.21+.89*.201=.39 rad/sec clockwise

b)=wit+.5t^2

=>=.21*.201+.5*.89*.201^2=.0602 rad

no of revolutions=9.55*10^-4 revolutions

c)V=r*wf=.4*.39=.156 m/sec

d)a=V^2/R=.156^2/.4 =.39m/s^2

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