Centripetal Force: Find Min Radius of Airplane Path

AI Thread Summary
To find the minimum radius of an airplane's circular path, the pilot's radial acceleration must not exceed 8.88 g, which translates to approximately 86.9 m/s². Using the formula for centripetal acceleration, v²/r = a, where v is the speed of 141 m/s, the equation can be rearranged to solve for the radius r. Substituting the values, the calculation leads to determining the minimum radius required for safe flight. Understanding the relationship between speed, mass, and acceleration is crucial in this scenario. The final result provides the necessary radius to ensure the pilot's safety during the maneuver.
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Homework Statement



An Airplane is flying ina horizontal circle at a speed of 141 m/s. The 94.2 Kg pilot does not want his radial acceleration to exceed 8.88 g.

What is the minimum radius of the circular path?

Homework Equations



v^2/r
Fnet = M x A

The Attempt at a Solution



141^2 / .00888 kg?
 
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Just try equating f=ma with your centripetal force. Then re-arrange for r. Think about what 8.88g is interns of acceleration
 

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