You have a physics homework set that's due in a few days, so, naturally, you're procrastinating. As you lie down on your bed, you decide to figure out how fast your ceiling fan is rotating. You note that for the slower speed setting, it goes through one complete rotation every second. For the higher speed setting, it goes through two complete rotations every second. You also note that the fan is rotating clockwise. Lastly, you note that when you pull the cord once, the fan slows from the higher rotating speed to the slower rotating speed in 5 seconds. (1) Find the angular velocities (in radians per second) of both the slower speed and higher speed modes of your ceiling fan (2) Find the angular acceleration as the fan goes from higher rotating speed to the slower rotating speed (3) Find the centripetal acceleration of a point at the end of the fan blade which is 0.75 m from the center of rotation of the fan for when the fan is rotating at its higher rotational speed

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 49PQ
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You have a physics homework set that's due in a few days, so, naturally, you're procrastinating. As you lie down on your bed, you decide to figure out how fast your ceiling fan is rotating. You note that for the slower speed setting, it goes through one complete rotation every second. For the higher speed setting, it goes through two complete rotations every second. You also note that the fan is rotating clockwise. Lastly, you note that when you pull the cord once, the fan slows from the higher rotating speed to the slower rotating speed in 5 seconds. 

(1) Find the angular velocities (in radians per second) of both the slower speed and higher speed modes of your ceiling fan 

(2) Find the angular acceleration as the fan goes from higher rotating speed to the slower rotating speed 

(3) Find the centripetal acceleration of a point at the end of the fan blade which is 0.75 m from the center of rotation of the fan for when the fan is rotating at its higher rotational speed 

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