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13-55. Determine the maximum constant speed at which the pilot can travel around the vertical curve having a radius of curvature $ρ=800m$, so that he experiences a maximum acceleration $a_{n}=8g=78.5m/s_{2}$. If he has a mass of $70kg$, determine the normal force he exerts on the seat of the airplane when the plane is traveling at this speed and is at its lowest point.

Calculate the maximum speed using the centripetal acceleration formula:

Where: v is the maximum spe...

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