Pitching moment and lift coefficient

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SUMMARY

The discussion focuses on analyzing the pitching moment and lift coefficient of a proposed airplane design in a wind tunnel. At a zero angle of attack, the pitching moment is zero with a lift of 10N, while at a 5-degree angle of attack, the pitching moment is -5Nm and lift is 60N. Key formulas discussed include the pitching moment coefficient \( C_M = \frac{M}{qSc} \) and lift coefficient \( C_L = \frac{L}{qS} \). The participants clarify the need to derive the pitching moment from the provided data and emphasize the importance of including the chord length in calculations.

PREREQUISITES
  • Understanding of aerodynamic forces and moments
  • Familiarity with wind tunnel testing principles
  • Knowledge of pitching moment and lift coefficient calculations
  • Basic grasp of aircraft stability concepts
NEXT STEPS
  • Study the derivation of pitching moment from aerodynamic data
  • Learn about the relationship between lift and angle of attack
  • Explore longitudinal static stability criteria in aircraft design
  • Investigate the effects of wing chord length on lift and moment coefficients
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Aerospace engineers, aerodynamics researchers, and students studying aircraft design and stability will benefit from this discussion.

xzibition8612
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Consider a proposed airplane design shape in a wind tunnel. The forces and moments are measured at the proposed center of gravity location. At zero angle of attack, pitching moment is zero and lift is 10N. At 5 degrees angle of attack, pitching moment is -5Nm and lift is 60N. The chord of the wing is 1 meter.
(a) What is dM/dL (sensitivity of pitching moment to lift coefficient)?
(b) What is dCm/dCL (sensitivity of pitching moment coefficient to lift coefficient)?
(c) Is this design longitudinally statically stable?


I have no idea how to do this. The formula for pitching moment coefficient is Cm=Cmwing+(h-hwing)Clwing-(Vh)(Cltail). I honestly don't think this equation applies in this problem, because there is no h, tail dimensions...etc. So I guess I'm supposed to figure out the pitching moment from the given data. But I need the line equation to do that? How do I find that? Am I even going on the right track?

Thanks a lot
 
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You're forgetting that C_M = \frac{M}{qS} and C_L = \frac{L}{qS}
 
viscousflow said:
You're forgetting that C_M = \frac{M}{qS} and C_L = \frac{L}{qS}

You're forgetting the c in C_M = \frac{M}{qSc} :wink:
 
Ah ha, so I plug it in and that's the answer right? Thanks a lot.
 

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