Question

An aircraft executes a horizontal loop at a speed of 720 km/hr, with its wings banked at 15^o. What is the radius of the loop?

Solution

Here,
Speed of the aircraft, v = 720 km/hr =

fraction numerator 720 space straight x space 1000 over denominator 60 space straight x space 60 end fraction space equals space 200 space m divided by s

straight theta space equals space 15 to the power of straight o comma space straight r space equals space ? thin space As space tan space straight theta space equals space straight v squared over rg Therefore comma space straight r space equals space fraction numerator straight v squared over denominator straight g space tan space straight theta end fraction space space space equals space fraction numerator 200 space cross times space 200 over denominator 9.8 space tan space 15 to the power of straight o end fraction space equals space fraction numerator 4 space straight x space 10 to the power of 4 over denominator 9.8 space cross times space 0.268 end fraction straight r space equals space 15.229 space cross times space 10 cubed space straight m

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