Angular Velocity of Two Attached Disks with Different Masses

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In summary, the angular velocity of two attached disks with different masses can be determined by the ratio of their moment of inertia. The disk with the larger mass will have a smaller angular velocity, while the disk with the smaller mass will have a larger angular velocity. This is because the moment of inertia is directly proportional to the mass of an object, meaning that the disk with the larger mass will require more force to rotate at the same speed as the smaller disk. Additionally, the distribution of mass within each disk also affects the angular velocity, with more mass concentrated towards the center resulting in a higher angular velocity. Overall, the angular velocity of two attached disks with different masses can be calculated using the equation ω = v/r, where ω is
  • #1
twjtiger
Another one that I can't figure out.

A solid disk of mass 5.0 kg and a radius of 15.0 cm is rotating with a constant angular velocity of 10.0 rad/sec. Another disk, with the same radius but a mass of 8.0 kg, is slowly dropped upon the first disk until they rotate together. Determine the angular velocity of the system after the two disks are attached.
 
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  • #2
Conservation of angular momentum!
 
  • #3
It would be approximtely 3.8 rad/s
 
  • #4
Would I start with

1/2 MR(Sqared)=1/2 MR(Squared)

That would set the two disks equal to each other. Would this be correct?
 

1. What is angular velocity?

Angular velocity is a measure of how fast an object is rotating around a fixed point. It is typically measured in radians per second.

2. How is angular velocity calculated?

Angular velocity is calculated by dividing the change in angle by the change in time. It can also be calculated by multiplying the linear velocity by the radius of the circular motion.

3. What factors affect the angular velocity of two attached disks?

The angular velocity of two attached disks is affected by their mass, the distance between them, and the force acting on them. In this case, the different masses of the two disks will have the biggest impact on their angular velocity.

4. Can the angular velocity of two attached disks with different masses be equal?

Yes, it is possible for the angular velocity of two attached disks with different masses to be equal. This can happen if the distance between the disks and the force acting on them are also equal.

5. How does the angular velocity of two attached disks with different masses change over time?

The angular velocity of two attached disks with different masses can change over time due to external forces, such as friction. It can also change if the distance between the disks or the force acting on them changes.

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