# Answer to Question #7558 in Mechanics | Relativity for brawlf

Question #7558
A fan blade is initially rotating an angular speed of 4.6 rpm. It slows down and eventually comes to rest in a time of 32 seconds after turning through a total of 8.8 revolutions. Find (a) the angular speed in rad/s, (b) the average angular velocity and (c) the average angular acceleration of the fan blade.
1
2012-03-22T12:04:59-0400
A fan blade is initially rotating an angular speed of 4.6 rpm. It slows down and eventually comes to rest in a time of 32 seconds after turning through a total of 8.8 revolutions. Find (a) the angular speed in rad/s

(b) the average angular velocity

Va = 8.8 r / 32 s = 0.275 r/s.

(c) the average angular acceleration of the fan blade

V(t) = at + V0,

where V0 = 4.6 r/m = 23/300 r/s and a is a the average angular acceleration. We know that

V(32) = 0 ==&gt; 32a + 23/300 = 0 ==&gt; a = -23*32/300 = -184/75 r/s&sup2;.

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