Verizon LTE 10:27 ANM a flipitphysics.com A ceiling fan consists of a small cyli

Question

Verizon LTE 10:27 ANM a flipitphysics.com A ceiling fan consists of a small cylindrical disk with 5 thin rods coming from the center. The disk has mass md = 3 kg and radius R rods each have mass mr 1.2 kg and length L 0.73 m. 0.24 m. The What is the moment of inertia of each rod about the axis of rotation? What is the moment of inertia of the disk about the axis of rotation? What is the moment of inertia of the whole ceiling fan? kg-m2 When the fan is turned on, it takes t 3 s and a total of 17 revolutions to accelerate up to its full speed What is the magnitude of the angular acceleration? rad/s2 Sam 5) What is the final angular speed of the fan? rad/s Suom What is the final rotational energy of the fan? Now the fan is turned to a lower setting where it ends with half of its rotational energy as before. The time it takes to slow to this new speed is also t 3 s What is the final angular speed of the fan? OWhat is the magnitude of the angular acceleration while the fan slows down? rad/s2 Sam

Explanation / Answer

According to the given problem,

Using the given data,

1.) Ir = 1/3mrlr2 = 1/3*1.2*0.732 = 0.2132 kg*m2.

2.) Id = 1/2mdr2 = 0.5*3*0.232 = 0.07935 kg-m2

3.) If = 5Ir + Id = 1.14515 kg-m2

4.) ? angle = 2?n = 1/2?t2

And angular acceleration ? = 4?*17/32 = 23.74 rad/s2.

Only 4 subparts per question as per chegg guidelines,

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