How does a bird create a circular path by tilting its wings?

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Homework Statement


A bird is able to go in a circle because it tilts its wings by theta degrees using a lift force, F. So it curves and eventually forms a full circle. if radius is 30m and the bird's velocity is 6m/s what is that tilt angle.

Homework Equations

The Attempt at a Solution


I calculated stuff like the period and centripetal acceleration, but I'm not even sure if those are needed for this.[/B]
 
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Looks like a baking angle problem. Circling at an angle, centripetal force equations. e.g tan = v^2/rg.
 
Draw a free body diagram?