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Q#2 (30) An aircraft flying at altitude where the density is 0.002377 slugs/ft is directed by the air traffic control to initiate a 2g constant speed level turn. The speed of the aircraft is 225 mph. (a) What is the radius of turn? (b) What is the rate of turn? Really an aerospace question.
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Answer #1

Given: Load factor (LF) = 2

density of air = 0.002377 slugs/ft^3 = 0.002377*515.378818 kg/m^3 = 1.22505545039 kg/m^3

Speed of aircraft = 225mph = 362.102 kph = 100.5838889 m/s

Now,

L = sqrt{(mg)^2 + Big(mrac{v^2}{R}Big)^2} = 2mg (given LF = 2)

Therefore,

V) 3

2 3 which gives R = 343.768899295 m

Rate of turn 109 1 tan(θ) dR dt where V is the speed of aircraft in Knots and theta is the bank angle

for 2G turn, theta = 60 degrees

V = 225 mph = 195.52 knots

Rate of turn = 9.66482933233 degrees per second

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