Question

A ceiling fan consists of a small cylindrical disk with 5 thin rods coming from the...

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 = 0.24 m. The rods each have mass mr = 1.2 kg and length L = 0.72 m.

1)

What is the moment of inertia of each rod about the axis of rotation?

kg-m2

2)

What is the moment of inertia of the disk about the axis of rotation?

kg-m2

3)

What is the moment of inertia of the whole ceiling fan?

kg-m2

4)

When the fan is turned on, it takes t = 3.8 s and a total of 16 revolutions to accelerate up to its full speed.

What is the magnitude of the angular acceleration?

rad/s2

5)

What is the final angular speed of the fan?

rad/s

6)

What is the final rotational energy of the fan?

J

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