# Angular momentum for these strange nonplanar gears?

• FallenApple
In summary, angular momentum is a measure of an object's rotational motion and is calculated by multiplying its moment of inertia with its angular velocity. In nonplanar gears, angular momentum is crucial for coordinating their motion and is conserved unless an external force is applied. The angular momentum of nonplanar gears can be affected by factors such as moment of inertia, angular velocity, and applied forces. It can be calculated using the formula L = Iω, where L is angular momentum, I is moment of inertia, and ω is angular velocity, but in nonplanar gears, these values may vary, making the calculation more complex.
FallenApple
I wonder what would the angular momentum vector look like for these gears.

As it rotates, there is no clear direction on where the angular momentum vector is pointing. This object is symmetric.

FallenApple said:
As it rotates, there is no clear direction on where the angular momentum vector is pointing.
It's just 3 spinning rings, simply add their vectors.

Last edited:

## 1. What is angular momentum?

Angular momentum is a measure of an object's rotational motion. It is the product of an object's moment of inertia and its angular velocity.

## 2. How is angular momentum related to nonplanar gears?

Angular momentum plays a crucial role in the motion of nonplanar gears. As the gears rotate, they transfer angular momentum to each other, causing them to move in a coordinated manner.

## 3. Can angular momentum be conserved in nonplanar gears?

Yes, angular momentum is conserved in any system, including nonplanar gears. This means that the total angular momentum of the gears will remain constant unless an external force is applied.

## 4. What factors affect the angular momentum of nonplanar gears?

The angular momentum of nonplanar gears can be affected by their moment of inertia, angular velocity, and the forces acting on them. Changes in any of these factors can alter the gears' angular momentum.

## 5. How is angular momentum calculated in nonplanar gears?

The angular momentum of nonplanar gears can be calculated using the formula L = Iω, where L is angular momentum, I is moment of inertia, and ω is angular velocity. In nonplanar gears, the moment of inertia and angular velocity may vary, making the calculation more complex.

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