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 = 2.6 kg and radius R = 0.24 m. The rods each have mass mr = 1.4 kg and length L = 0.78 m.

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

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

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

d) When the fan is turned on, it takes t = 3.7 s and a total of 13 revolutions to accelerate up to its full speed. What is the magnitude of the angular acceleration?

e) What is the final angular speed of the fan?

f) What is the final rotational energy of the fan?

g) 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 = 3.7 s. What is the final angular speed of the fan?

h) What is the magnitude of the angular acceleration while the fan slows down?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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...
A uniform disk of mass Mdisk = 4 kg and radius R = 0.24 mhas a...
A uniform disk of mass Mdisk = 4 kg and radius R = 0.24 mhas a small block of mass mblock = 2.2 kg on its rim. It rotates about an axis a distance d = 0.16 m from its center intersecting the disk along the radius on which the block is situated. What is the moment of inertia of the block about the rotation axis? What is the moment of inertia of the disk about the rotation axis? When...
A disk with mass m = 8.5 kg and radius R = 0.35 m begins at...
A disk with mass m = 8.5 kg and radius R = 0.35 m begins at rest and accelerates uniformly for t = 18.9 s, to a final angular speed of ? = 29 rad/s. a) What is the angular acceleration of the disk? b) What is the angular displacement over the 18.9 s? c) What is the moment of inertia of the disk? d) What is the change in rotational energy of the disk? e) What is the tangential...
A disk with mass m = 10.3 kg and radius R = 0.34 m begins at...
A disk with mass m = 10.3 kg and radius R = 0.34 m begins at rest and accelerates uniformly for t = 16.8 s, to a final angular speed of ω = 26 rad/s. 1) What is the angular acceleration of the disk? rad/s2 2) What is the angular displacement over the 16.8 s? rad 3) What is the moment of inertia of the disk? kg-m2 4) What is the change in rotational energy of the disk? J 5)...
An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude...
An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.200 rev/s . The magnitude of the angular acceleration is 0.895 rev/s2 . Both the the angular velocity and angular acceleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.780 m . (a) Compute the fan's angular velocity magnitude after time 0.209 s has passed. (b)Through how many revolutions has the blade turned in the time interval 0.209...
An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude...
An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.240 rev/s. The magnitude of the angular acceleration is 0.907 rev/s2rev/s2 . Both the angular velocity and angular acceleration are directed clockwise. The electric ceiling fan blades form a circle of diameter 0.740 m. Part A: Compute the fan's angular velocity magnitude after time 0.209 ss has passed. Part B: Through how many revolutions has the blade turned in the time interval 0.209...
If a disk is rotating from rest with an angular acceleration of 1.72 rad/s^2 for 5.67...
If a disk is rotating from rest with an angular acceleration of 1.72 rad/s^2 for 5.67 seconds, what is its final rotational kinetic energy? Take the moment of inertia of the disk to be 0.692 kg*m^2.
An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude...
An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.280 rev/s . The magnitude of the angular acceleration is 0.895 rev/s2 . Both the the angular velocity and angular accleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.800 m. Help to answers part B-E. Answer for A is given A) Compute the fan's angular velocity magnitude after time 0.202 s has passed. = 0.461 rev/s B)...
An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude...
An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.220 rev/s. The magnitude of the angular acceleration is 0.916 rev/s2. Both the angular velocity and angular acceleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.710 m. Compute the fan's angular velocity magnitude after time 0.192 ss has passed. (Express your answer numerically in revolutions per second.) Through how many revolutions has the blade turned in the...
A person with mass mp = 70 kg stands on a spinning platform disk with a...
A person with mass mp = 70 kg stands on a spinning platform disk with a radius of R = 2.04 m and mass md = 186 kg. The disk is initially spinning at ω = 2 rad/s. The person then walks 2/3 of the way toward the center of the disk (ending 0.68 m from the center). What is the total moment of inertia of the system about the center of the disk when the person stands on the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT