# Conservation of Angular Momentum diagram

• pwn01
In summary, the Coriolis effect is observed when something moves in a straight line in an inertial frame of reference and it appears to move in a circle in a rotating frame.
pwn01
Does the first diagram in the Wikipedia page: https://en.wikipedia.org/wiki/Coriolis_effect (that of the ball rolling on a rotating disk) properly illustrate the Coriolis effect or does it simply illustrate the conservation of angular momentum. I understand that these are two different principles.

No, it demonstrates the conservation of linear momentum. The Coriolis effect is what is observed from a rotating reference frame. So if something is moving in a straight line in an inertial frame of reference it will appear to move in a circle in a rotating frame.

Here is a quote from the caption "the observer. . . .sees the object as following a curved path due to the Coriolis and centrifugal forces present in this frame." So I gather from what your saying that the diagram does not actually illustrate the effect of the Coriolis "force" as indicated but rather the conservation of linear momentum. In other words, the observer is necessarily moved away from the ball because he has a higher linear velocity than the ball. The ball has a lower linear velocity because it started closer to the axis of rotation and does not acquire the velocity of the greater radius as it travels because this example is frictionless. The ball then actually falls behind and so appears to the observer to curve in its path. If I understand correctly, the Coriolis effect describes the phenomenon of the twisting of the reference frame below the object at any given point and the consequent change in its direction relative to the frame of reference. This has nothing to do with velocity (speed) and can be observed with a spinning mass gyroscope positioned correctly although it has no linear velocity, but does have inertia due to the spinning mass. Correct?

The first diagram on the Wikipedia page does indeed properly illustrate both the Coriolis effect and the conservation of angular momentum. The Coriolis effect is seen in the curved path of the ball as it rolls on the rotating disk, which is a result of the conservation of angular momentum. This principle states that the total angular momentum of a system remains constant, unless acted upon by an external torque. In this case, the rotating disk provides the external torque that causes the ball to deviate from its straight path and follow a curved one. Therefore, the diagram effectively showcases both principles at play.

## 1. What is the Conservation of Angular Momentum diagram?

The Conservation of Angular Momentum diagram is a graphical representation of the principle of conservation of angular momentum in physics. It shows the relationship between the moment of inertia, angular velocity, and angular momentum of a rotating object.

## 2. How does the Conservation of Angular Momentum diagram illustrate the principle of conservation of angular momentum?

The diagram shows that as the moment of inertia of a rotating object decreases, its angular velocity increases in order to maintain a constant angular momentum. This is in accordance with the principle of conservation of angular momentum, which states that the total angular momentum of a closed system remains constant.

## 3. Can the Conservation of Angular Momentum diagram be used to solve problems in physics?

Yes, the diagram can be used to solve problems involving the conservation of angular momentum. By knowing the initial and final values of the moment of inertia, angular velocity, or angular momentum, one can use the diagram to determine the missing value.

## 4. Are there any limitations to using the Conservation of Angular Momentum diagram?

While the diagram is a useful tool for understanding and solving problems related to angular momentum, it does have some limitations. It assumes that there are no external torques acting on the rotating object, and that the moment of inertia remains constant throughout the rotation.

## 5. How is the Conservation of Angular Momentum diagram related to other conservation principles in physics?

The principle of conservation of angular momentum is similar to the principles of conservation of energy and linear momentum. They all state that the total quantity of a physical property remains constant in a closed system. In fact, the Conservation of Angular Momentum diagram can be used in conjunction with these other conservation principles to solve more complex problems.

Replies
17
Views
507
Replies
4
Views
902
Replies
5
Views
1K
Replies
6
Views
622
Replies
6
Views
1K
Replies
67
Views
1K
Replies
26
Views
465
Replies
4
Views
2K
Replies
2
Views
2K
Replies
23
Views
1K