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Centripetal force

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A model airplane of mass 0.830 kg flies in a horizontal circle at the end of a 54.0 m control wire, with a speed of 35.0 m/s. Compute the tension in the wire if it makes a constant angle of 20.0° with the horizontal. The forces exerted on the airplane are the pull of the control wire, the gravitational force, and aerodynamic lift, which acts at 20.0° inward from the vertical.

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Solution Preview

Forces Flift and T are resolved into vertical and horizontal components as shown in the fig..

As the airplane is in equilibrium in the vertical direction (it does not move up or down), net vertical force acting on it must be zero. Hence,

0.94Flift - 0.34T - mg = 0

Or 0.94Flift - 0.34T = mg = ...

Solution Summary

The centripetal force of a model airplane is determined. A step by step solution provided.