How to estimate tangential force through curve?

AI Thread Summary
To estimate the tangential force when a capsule on rails enters a curve, it's essential to consider both centripetal and tangential forces. The centripetal force can be calculated using the formula F = mv^2/R, where m is mass, v is velocity, and R is the radius of curvature. However, the tangential force, which accounts for changes in velocity, requires knowledge of the acceleration over time, which is not provided. The discussion highlights the confusion around whether only centripetal force is relevant or if both components need to be considered for a complete analysis. Understanding these forces is crucial for accurately determining the impact force during the curve transition.
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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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