How to estimate tangential force through curve?

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SUMMARY

The discussion focuses on estimating the tangential force required for a capsule navigating a curve in a pipeline. The key equations referenced include centripetal acceleration (F = mv²/r) and tangential acceleration (dv/dt). The user seeks clarification on whether only centripetal force is relevant or if tangential force must also be considered. The conclusion is that both centripetal and tangential forces may be necessary to fully understand the dynamics of the situation.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with centripetal acceleration concepts
  • Basic knowledge of tangential acceleration
  • Ability to apply kinematic equations in physics
NEXT STEPS
  • Study the relationship between centripetal and tangential forces in curved motion
  • Learn how to calculate tangential acceleration in practical scenarios
  • Explore advanced applications of Newton's laws in dynamic systems
  • Investigate real-world examples of force estimation in pipeline systems
USEFUL FOR

Students in physics, engineers working on pipeline systems, and anyone interested in the dynamics of moving bodies in curved paths.

Aerstz
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Homework Statement



A capsule suspended on flat rails enters a curve in a pipeline. It has guide wheels on vertical axles to keep the main wheels on-track. As it enters the bend the front guide wheel impacts the side of a rail to steer the bogie. What is the force of this impact? Essentially, what force is required to change the direction of a moving body by x degrees (Newton basics)?

Homework Equations



Tangential acceleration = dv/dt

Centripetal acceleration = m*v^2/r

F = ma

The Attempt at a Solution



Is the centripetal force the only relevant component? If so I can calculate this. If it is the sum of centripetal and tangential then I am stuck, for I do not know how to estimate the tangential load (I do not know what the change in velocity will be over time). I know the capsule forward velocity, mass, and the radius of curvature (for the curve it is to traverse).

Thanks for any help. I know this is very basic physics, and confess I should know the answer!
 
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The force would be equal to the centripetal acceleration*mass. If you are given the radius of curvature, then use the equation for centripetal acceleration*mass.

F = mv^2/R
 
Thanks. I was resigned to just using the centripetal formula despite reading elsewhere that there are two force components: tangential and centripetal.
 

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