Train Wheels Problem: Solving for Force and Gravity | Homework Statement

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    Train Wheels
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Homework Help Overview

The discussion revolves around the mechanics of train wheels, focusing on the forces acting on them, the relationship between wheel size and traction, and the mechanical advantage in the context of locomotives. Participants explore concepts related to torque, angular and linear velocity, and the attachment of pistons to wheels.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants attempt to relate wheel size to traction and speed, questioning whether larger wheels provide better traction. There is also exploration of the mechanical arrangement of pistons and wheels, with inquiries about torque and the roles of different points in the system.

Discussion Status

Some participants have offered insights into the mechanics of the wheel and piston system, while others express confusion about the classification of levers and the roles of various points in the system. There is a productive exchange of ideas, with participants seeking clarification and further understanding.

Contextual Notes

Participants note the lack of specific measurements and definitions, which may impact their ability to fully analyze the problem. There is also mention of varying levels of familiarity with concepts such as angular and linear velocity, which may influence the discussion.

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  • #32
Jakecp said:
You are right in that , but i don't get at 100% how does that happen? This : you can arrange to get twice the force if you accept getting half the speed, or you can get twice the speed if you accept only getting half the force.
Consider two of the front gears on a bicycle, one twice the diameter of the other. Uphill, in low gear, I apply a steady torque to the pedals and turn them at some constant rate. That exerts a force F on the chain and and makes it move at speed v. Cresting the hill, I change to the high gear, but find applying the same torque keeps the pedals rotating at the same rate as before. The force on the chain drops to F/2, but the chain moves twice as fast. The power transferred is Fv in both cases.
 

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