Smartest of the smarts, please help me!!
A hinge is supporting a door that is hanging down from it (think of a doggie door). When a wind is blowing at the top of the hinge at a constant 11 m/s the door is perfectly horizontal (in the beginning it was perfectly vertical with no wind). If a wind of 11 m/s is needed to rotate the door on the hinge 90 degrees, how fast should the wind blow for the door to rotate only 30 degrees? No weight or length is given and the hinge is frictionless. Again, the wind is blowing at the top of the hinge, not directly at the door. Any help would be greatly appreciated.
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