Angular Velocity of weighted plates

In summary, the problem involves two rotating disks with different masses and radii. The first disk is rotating at 63 rad/s and the second disk is dropped onto it, causing their centers to align. The combined angular velocity of the two disks is being sought. It may be helpful to apply the concept of conservation of angular momentum in solving this problem.
  • #1
randomss444
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Homework Statement



A 7kg plate with a radius of 1.4m is rotating at 63 rad/s around an axis perpendicular to its center. Another plate that is not rotating is dropped onto the first plate and their centers align. The second plate is 5kg, with a radius of .8m. What is the angular velocity of the two disks combined?


Homework Equations





The Attempt at a Solution



I am really confused with this problem.
What is my first step?

Thanks
 
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  • #2
randomss444 said:

Homework Statement



A 7kg plate with a radius of 1.4m is rotating at 63 rad/s around an axis perpendicular to its center. Another plate that is not rotating is dropped onto the first plate and their centers align. The second plate is 5kg, with a radius of .8m. What is the angular velocity of the two disks combined?


Homework Equations





The Attempt at a Solution



I am really confused with this problem.
What is my first step?

Thanks

Has your class been discussing the conservation of angular momentum?
 

1. What is angular velocity?

Angular velocity refers to the rate at which an object rotates or revolves around a fixed point. It is typically measured in radians per second.

2. How is angular velocity different from linear velocity?

Angular velocity is a measure of rotational motion, whereas linear velocity is a measure of straight-line motion. Angular velocity takes into account the distance of the object from the axis of rotation, while linear velocity does not.

3. What factors affect the angular velocity of weighted plates?

The angular velocity of weighted plates is affected by the mass of the plates, the distance from the axis of rotation, and the force applied to the plates. The shape and size of the plates may also have an effect.

4. How is angular velocity calculated?

Angular velocity is calculated by dividing the angular displacement of the object by the time it takes to complete that displacement. It can also be calculated by multiplying the angular frequency (in radians per second) by the radius of the rotation.

5. How is angular velocity useful in real-world applications?

Angular velocity is used in various fields such as physics, engineering, and sports. In physics, it is important for understanding rotational motion and calculating the torque and angular momentum of objects. In engineering, it is used in designing and analyzing rotating machinery. In sports, it is used to measure the speed at which objects are thrown or hit, such as in baseball or golf.

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