Mathematical Model of a Wind Tunnel Model

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A wind tunnel model of an aircraft is designed to study rolling motion, featuring two small lifting surfaces symmetrically mounted on a body that can roll freely about the x-axis. The right lifting surface is set at an incidence of -3 degrees, while the left is at +3 degrees, creating a differential lift. The model's wings have a 5 cm chord and a 30 cm span, constructed from aluminum. Participants are encouraged to develop a mathematical model that relates roll moment as the disturbance to roll attitude as the output. The discussion emphasizes the importance of providing initial attempts at solving the problem to facilitate assistance.
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A wind tunnel model of an aircraft, representing only the rolling motion, is
constructed using two small lifting surfaces mounted in the horizontal (i.e. x –
y) plane symmetrically on an axi-symmetric body. The body houses a set of ball
bearings, which permit the complete model to roll about x – axis freely. Further,
the right lifting surface (pointing towards positive y axis) is given an initial
incidence of -3o with respect of the longitudinal axis of the body and similarly,
the left lifting surface (pointing towards negative y axis) is given an initial
incidence of +3o with respect of the longitudinal axis of the body. The wings
have 5 cm chord, 30 cm span (for each half part) and are made of Aluminium.

Generate the mathematical model of the above wind tunnel model in terms of
the roll moment as the disturbance and roll attitude as the output from the
system.
 
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This looks like a homework problem.

Stick it in the HW section and if you need help completing it, then, as the forum guidlines state, you should supply your attempts at the problem, not just the question. We're not a tutorial answering service, but we are willing to help :wink:
 
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