# Spinning objects and angular acceleration

• Sundown444
In summary, when an object accelerates in linear motion, it experiences resistance from inertia which creates fictitious forces. The same concept applies to spinning objects like a gymnast, where they may also experience resistance and fictitious forces. This can be seen in examples such as a small package sliding across a car seat during a left turn, indicating the presence of a fictitious force. Amusement park rides also offer similar experiences of fictitious forces.
Sundown444
I believe I know that when an object, in terms of linear motion, accelerates, it is being resisted by inertia, thus creating so called fictitious forces. Now, that said, how does angular acceleration affect spinning objects like say, a gymnast, when they spin around the axis of rotation? Do they feel resistance and fictitious forces the same way accelerating objects in linear motion do?

Yes. Here is a clear example of a fictitious force generated by rotational motion. Imagine a small package on the back seat of your car. As long as you move in a straight line at constant speed, the package is at rest relative to you. When you steer the car into a left turn, you see the package slide across the seat from left to right. You conclude that a force is suddenly acting on the package otherwise why would it start moving? A gymnast may not spin fast enough to experience an appreciable fictitious force, but the majority of amusement park rides offer fictitious force thrills.

Sundown444

## 1. What is angular acceleration?

Angular acceleration is the rate of change of angular velocity with respect to time. It is a measure of how quickly an object's rotational speed is changing.

## 2. How is angular acceleration different from linear acceleration?

Angular acceleration is a measure of how quickly an object's rotational speed is changing, while linear acceleration is a measure of how quickly an object's linear velocity is changing. In other words, angular acceleration involves rotation, while linear acceleration involves movement in a straight line.

## 3. How is angular acceleration calculated?

Angular acceleration is calculated by dividing the change in angular velocity by the change in time. It is typically measured in radians per second squared (rad/s^2).

## 4. What factors affect the angular acceleration of a spinning object?

The angular acceleration of a spinning object is affected by its moment of inertia, the torque applied to it, and the distribution of mass around its axis of rotation. A larger moment of inertia, a greater torque, or a more spread out mass distribution will result in a higher angular acceleration.

## 5. How does angular acceleration affect the stability of a spinning object?

Angular acceleration can affect the stability of a spinning object by causing it to wobble or topple over. A higher angular acceleration can make an object more unstable and difficult to control, while a lower angular acceleration can make it more stable and easier to control.

Replies
1
Views
739
Replies
2
Views
959
Replies
9
Views
4K
Replies
2
Views
2K
Replies
2
Views
1K
Replies
1
Views
4K
Replies
5
Views
3K
Replies
36
Views
15K
Replies
3
Views
2K
Replies
1
Views
1K