Calculating Angular Acceleration and Stopping Time for a Rolling Train

In summary, the problem involves a toy train rolling around a circular track with a diameter of 1.8 m and a coefficient of rolling friction of 0.11. The question asks for the magnitude of the train's angular acceleration after release and the time it takes for the train to stop if released with an initial angular speed of 31. The solution involves using centripetal acceleration and converting distances using the circumference formula.
  • #1
kerbyjonsonjr
34
0

Homework Statement


A toy train rolls around a horizontal 1.8 m diameter track. The coefficient of rolling friction is 0.11.

What is the magnitude of the train's angular acceleration after it is released?
How long does it take the train to stop if it's released with an angular speed of 31 ?

Homework Equations


a=v2/r perhaps


The Attempt at a Solution


I am not even really sure how to begin this problem. I am pretty sure it has something to do with centripetal acceleration but I really just have no idea where to begin. Any help would be great. Thanks!
 
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  • #2
Your on the right track (no pun intended).

Can you equate the centrifugal force to the normal rolling friction force?
 
  • #3
The question deliberately avoids you having to worry about it being a circular track. You just pretend it's a straight track and use circumference=2*pi*radius to convert the distances.
 

Related to Calculating Angular Acceleration and Stopping Time for a Rolling Train

1. What causes a train to roll around a track?

A train rolls around a track due to the force of its engine pulling the train forward and the wheels of the train gripping onto the track's rails.

2. How does a train stay on the track while rolling?

Trains stay on the track while rolling due to the design of the wheels and rails. The wheels have a flange that keeps them centered on the rails and the shape of the rails provides support and stability for the train.

3. Why do trains make loud noises while rolling on a track?

The loud noises produced by trains while rolling on a track are typically caused by the friction between the train's wheels and the track's rails. This can also be due to the movement of the train's engine and other parts.

4. How fast can a train travel while rolling on a track?

The speed of a train while rolling on a track can vary depending on the type of train and the conditions of the track. High-speed trains can reach speeds of up to 300 mph, while freight trains typically travel at speeds between 50-70 mph.

5. What factors can affect the rolling of a train on a track?

Several factors can affect the rolling of a train on a track, including the weight of the train, the condition of the track, and the weather. Other factors such as curves, inclines, and the train's speed can also impact its rolling on the track.

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