CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Runway at airport is in $$(E-W)$$ direction. An aircraft is about to land with speed in air $$120\ km/h$$. If aircraft is encountering a steady side wind due north of speed $$40\ km/h$$. At what angle $$\theta$$ with runway should the pilot direct the aircraft so that the resultant velocity is parallel to the runway and speed at touch down respectively are


A
19.5o,113 m/s
loader
B
70.5o,125 m/s
loader
C
19.5o,126.5 m/s
loader
D
70.5o,113 m/s
loader

Solution

The correct option is D $$70.5^{o}, 113\ m/s$$
$$120\sin \theta=40$$
$$\sin \theta=\dfrac{1}{3}$$
$$\theta=\sin^{-1}\left(\dfrac{1}{3}\right)=70.5^{o}$$
$$\cos \theta=\dfrac{2\sqrt{2}}{3}$$
$$120\cos \theta=120\times 2\times \dfrac{1.414}{36}$$
$$=113\ km/h$$
1879255_1903078_ans_6426ec9454894d2db643c473d4cb6cb6.png

Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image