A ceiling fan is rotating counterclockwise with a constant angular acceleration of π rad/s 2 about a fixed axis perpendicular to its plane and through its center. Assume the fan starts from rest.

(a) What is the angular velocity of the fan after 4.00 s?

(b) What is the angular displacement of the fan after 4.00 s?

(c) How many revolutions has the fan gone through in 4.00 s?

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VikasLv10

31 Oct 2020

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A person walks into a room and switches on the ceiling fan. Thefan accelerates with constant angular acceleration for 15 s untilit reaches and angular speed of 1.9 rotations/sec. After that thespeed remains constant as long as it is "on". The person stays inthe room for a short time then 5.5 min after turning the fan on,she switches it off. The fan decelerates with a constant angularacceleration, taking 2.4 min to come to a rest. What is the totalnumber of revolutions made by the fan from the time it was turnedon until the time that it stopped?

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sapphiretermite157

<p>Multiple-Concept Example 7 explores the approach taken in problems such as this one.  The blades of a ceiling fan have a radius of 0.380 m and are rotating about a fixed axis with an angular velocity of +1.50 rad/s.  When the switch on the fan is turned to a higher speed, the blades acquire an angular acceleration of +2.00 rad/s^2.  After 0.500 s have elapsed since the switch was reset, what is (a) the total acceleration (in m/s^2) of a point on the tip of a blade and (b) the angle  φ between the total acceleration and the centripetal acceleration?  ( See Figure 8.12 b.)</p>

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