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Which of the following is an incorrect relation for a flat plate?(a) cm,le=-π \(\frac {\alpha }{2}\)(b) cm,le=-\(\frac {c_l}{4}\)(c) cm,le=-\(\frac {c_l}{2}\)(d) cm,c/4=cm,le+\(\frac {c_l}{4}\)This question was addressed to me in an online quiz.My doubt is from The Symmetric Airfoil in chapter Incompressible Flow over Airfoils of Aerodynamics

Answer»

Right answer is (C) cm,le=-\(\frac {c_l}{2}\)

Explanation: The coefficient of moment about the leading edge is given by cm,le=-π \(\frac {\ALPHA }{2}\). Putting cl = 2πα we GET cm,le=-\(\frac {c_l}{4}\). FINDING the moment coefficient about quarter chord we get,

cm,c/4=cm,le+\(\frac {c_l}{4}\).



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