# Normal tangential co-ordinates(ut,un)

**1. The problem statement, all variables and given/known data**

A jet is coming out of a dive and a sensor in the pilots seat measures a force of 800lb for a pilot whose weight is 180lb. If the jet’s instruments indicate that the plane is travelling at 850mph, determine the radius of curvature, p, of the plane’s path at this instant

**2. Relevant equations**

a= (dv/dt)at + ((v^2)/p)an

**3. The attempt at a solution**

So I think this involves the component of acceleration in the direction perpendicular to the

flights path at that point?

so an=(v^2)/p

But I don’t know what an is at that point?

Also, for what kind of problems should the polar coordinate system be used over the normal-tangential co-ordinate system?

**1. The problem statement, all variables and given/known data**

**2. Relevant equations**

same as above question

**3. The attempt at a solution**

So at B, I think I can find the component of acceleration perpendicular to the path(which will point towards the center in this case?) using (v^2)/p and then use that to find the resultant force in the same direction using RFn=m(an)

But I don’t know what to do next. Is that enough information to solve simultaneously for both the unknown forces?

http://ift.tt/NM5s7t

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