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 0.300rev/s . The magnitude of the angular acceleration is 0.901rev/s2 . Both the the angular velocity and angular accleration are directed clockwise. The electric ceiling fan blades form a circle of diameter 0.760m .

Compute the fan's angular velocity magnitude after time 0.200s has passed. (in rev/sec)

Through how many revolutions has the blade turned in the time interval 0.200s from Part A? (in revs)

What is the tangential speed vtan(t) of a point on the tip of the blade at time t = 0.200s ? (in m/sec)

Explanation / Answer

Part A)
Apply wf = wo + at

wf = (.3) + (.901)(.2)

wf = .48 rev/s

Part B)

wf2 = wo2 + 2a(theta)

.482 = .32 + 2(.901)(theta)

theta = .078 rev

Part C)
v = rw = (.48)(.76/2) = .182 m/s

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