What is the Angular Velocity of Two Combined Disks?

In summary, angular velocity of a disk is the rate at which it rotates around its axis, measured in rad/s or degrees/s. It can be calculated by dividing the change in angular displacement by the change in time. The factors that affect it include the disk's radius, force applied, and mass, as well as external factors like friction and air resistance. Angular velocity is different from linear velocity, as it measures rotational motion while linear velocity measures straight line motion. A higher angular velocity results in a faster rotation, while a lower angular velocity results in a slower rotation, with the direction of the angular velocity determining the direction of rotation.
  • #1
andrewp7
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0

Homework Statement


A disc off a mass m1 is spinning freely at omega1(w1). A second disk of the same radius but smaller mass m2=m1/4 is dropped onto the first , and it sticks. What is the angular velocity of the two disks

The Attempt at a Solution


I honestly have no idea
 
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  • #2
I appreciate your honesty. Please read up on on Conservation of Angular Momentum and give it a try, then post again with your relevant equations and an attempt at a solution.
 

Related to What is the Angular Velocity of Two Combined Disks?

1. What is angular velocity of a disk?

Angular velocity of a disk refers to the rate at which a disk rotates around its axis. It is measured in rad/s or degrees/s.

2. How is angular velocity of a disk calculated?

Angular velocity of a disk can be calculated by dividing the change in angular displacement by the change in time. It is represented by the symbol "ω" and the formula is ω = Δθ/Δt.

3. What factors affect the angular velocity of a disk?

The angular velocity of a disk is affected by the radius of the disk, the force applied to the disk, and the mass of the disk. Other factors such as friction and air resistance can also affect the angular velocity.

4. What is the difference between angular velocity and linear velocity?

Angular velocity refers to the rate at which an object rotates around its axis, while linear velocity refers to the rate at which an object moves in a straight line. Angular velocity is measured in rad/s or degrees/s, while linear velocity is measured in m/s or ft/s.

5. How does angular velocity impact the motion of a disk?

The angular velocity of a disk impacts its rotational motion. A higher angular velocity results in a faster rotation, while a lower angular velocity results in a slower rotation. The direction of the angular velocity also determines the direction of the rotation.

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