Uniform circular motion airplane problem

AI Thread Summary
An airplane flying in a horizontal circle at 470 km/h with wings tilted at 40° requires a calculation of the radius of its circular path, relying on aerodynamic lift for the necessary force. The initial approach involved setting the force equal to mgsin40, but this method proved ineffective. The discussion highlights the importance of resolving forces accurately, particularly the lift force acting perpendicular to the wing surface. Participants suggest sharing a free body diagram to clarify the forces at play, as visual representation can aid in understanding the problem. The need for a clearer depiction of the forces is emphasized to move forward with the solution.
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An airplane is flying in a horizontal circle at a speed of 470 km/h (Figure 6-39). If its wings are tilted 40° to the horizontal, what is the radius of the circle in which the plane is flying? Assume that the required force is provided entirely by an "aerodynamic lift" that is perpendicular to the wing surface.

m



2. F=mv^2/r



I first tried setting F to mgsin40 and solving for r (thinking the m would cancel from both sides of the equation), but that didn't seem to work. So I'm kind of at a standstill not knowing where to go with this problem
 
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Your diagram isn't visible, but I assume you have a problem resolving forces. Can you post your free body diagram here?
 
maverick280857 said:
Your diagram isn't visible, but I assume you have a problem resolving forces. Can you post your free body diagram here?

- I'm not sure how I could draw one out on here (don't have a scanner to scan it either). I guess I could try describing it.

I have r as my horizontal plane with the airplane set 40 degree's from the horizontal. I have mg (unknown) going toward earth. I have a perpendicular to the plane for my "aerodynamic lift" force. Then a force going towards the center.
 

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