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1. The blades of a ceiling fan have a radius of 0.318 m and are rotating about a fixed axis with an angular velocity of +1.48 rad/s. When the switch on the fan is turned to a higher speed, the blades acquire an angular acceleration of +2.22 rad/s2. After 0.394 s have elapsed since the switch was reset, what is (a) the total acceleration (in m/s2) of a point on the tip of a blade and (b) the angle between the total acceleration and the centripetal acceleration (See Figure)?
http://edugen.wiley.com/edugen/courses/crs2216/art/qb/qu/c08/w1590int.gif
I tried using equation [tex]\omega[/tex][tex]_{2}[/tex] = [tex]\omega[/tex][tex]^{2}_{o}[/tex] + 2[tex]\alpha[/tex][tex]\theta[/tex]
This is the first time I have used the forums and I'm having a hard time putting in equations and things, so I apologize if the format is silly. I solved for theta in the above equation and my answers were 3.6509 (part a) rev and 14.153 (part b). I do not know if this is right, and if it is, I am not sure how to convert it into degrees so I can figure the position on the wheel.
http://edugen.wiley.com/edugen/courses/crs2216/art/qb/qu/c08/w1590int.gif
Homework Equations
I tried using equation [tex]\omega[/tex][tex]_{2}[/tex] = [tex]\omega[/tex][tex]^{2}_{o}[/tex] + 2[tex]\alpha[/tex][tex]\theta[/tex]
The Attempt at a Solution
This is the first time I have used the forums and I'm having a hard time putting in equations and things, so I apologize if the format is silly. I solved for theta in the above equation and my answers were 3.6509 (part a) rev and 14.153 (part b). I do not know if this is right, and if it is, I am not sure how to convert it into degrees so I can figure the position on the wheel.