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Q5.30 An aircraft executes a horizontal loop at a speed of 720 km/h with its wings banked at 15°. What is the radius of the loop?

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Convert speed of aircraft in SI units :

                                                            V\ =\ 720\ Km/h\ =\ 720\times\frac{5}{18}\ =\ 200\ m/s

We are familiar with the following relation :

                                                             \tan \Theta \ =\ \frac{v^2}{rg}

or                                                                  r\ =\ \frac{v^2}{g \tan \Theta}

or                                                                        =\ \frac{200^2}{10\times \tan 15^{\circ}}

or                                                                       =\ 14925.37\ m\ =\ 14.9\ Km

Posted by

Devendra Khairwa

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