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Q.

What is the radius of the horizontal loop executed by an aircraft at a speed of 720 km h−1 with its wings banked at 150  (Take g=10ms−1,tan150=0.27 )

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a

14.8 km

b

14.8 m

c

29.3 km

d

29.6 m

answer is A.

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Detailed Solution

Here,v=720Kmh−1=720×518ms−1 =200ms−1∴θ=15∘,g=10ms−2    As tanθ=v2rg∴r=v2tan⁡θg=200ms−12tan⁡15∘×10ms−2=14815m=14.8km
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What is the radius of the horizontal loop executed by an aircraft at a speed of 720 km h−1 with its wings banked at 150  (Take g=10ms−1,tan150=0.27 )