# Angular Momentum (train on a track)

• bosco3234
In summary, the conversation discusses a toy train track mounted on a large wheel and the calculation of the wheel's angular speed based on the mass and velocity of the train. The equation mvr=mvR is used to solve for the angular speed.
bosco3234
Can someone help with this? Thnx

A toy train track is mounted on a large wheel that is free to turn with negligible friction about a vertical axis as shown in the figure above. The mass of the wheel plus track is 3.59 kg and the radius is 1.79 m. Ignore the mass of the spokes and hub. A toy train of mass 0.203 kg is placed on the track and, with the system initially at rest, the electric power is turned on. The train reaches a steady speed of 0.551 m/s with respect to the track. What is the angular speed of the wheel?

Equate mvr of the train to mvr of the track. Since r is the same for each, just set mv=MV.

Thanks much

## 1. What is angular momentum?

Angular momentum is a property of a system that describes the rotation of that system around a fixed axis. It is a vector quantity and is defined as the product of the moment of inertia and the angular velocity of the system.

## 2. How is angular momentum related to train on a track?

In the context of a train on a track, angular momentum refers to the rotational motion of the train around its axis. This is influenced by factors such as the mass and shape of the train, as well as its speed and direction of travel.

## 3. How does angular momentum affect a train on a track?

Angular momentum affects a train on a track by influencing its rotational motion. This can impact the stability and control of the train, as well as the amount of energy needed to accelerate or decelerate the train.

## 4. What are some real-world applications of angular momentum in trains?

Angular momentum in trains has many real-world applications, such as in the design and control of trains, as well as in the maintenance and safety protocols. It is also important in understanding the physics behind train derailments and collisions.

## 5. How can angular momentum be manipulated in trains?

Angular momentum in trains can be manipulated by changing the factors that influence it, such as the mass and shape of the train, the speed and direction of travel, and the forces acting on the train. This can be done through various engineering and design techniques, as well as through control systems and regulations.

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