Flag Mechanics> An aircraft flies at 400 km/h in still ai...
question mark

An aircraft flies at 400 km/h in still air . A wind of 200√2 km/h is blowing from the south . The pilot wishes to travel from A to a point B north east of A . Find the direction he must steer and the time of his journey if AB = 1000 km.

MUKESH KUMAR ROUT , 8 Years ago
Grade 12th pass
anser 2 Answers
Vikas TU

Last Activity: 8 Years ago

we know the resulatnt. that is north east of A.
Therefore,
let v km / h be the change in velocity of aircraft.
then,
perpendiclar / hypertenuse = sin45.
200root2/root((400+v)^2 + (200root2)^2) = sin45.
Solve here for v.

Gkmeruva

Last Activity: 6 Years ago

Vp/sin 45°=Vw/sin x
400/1/√2=200√2/sin x
Sin x*400=200√2*1/√2
Sin x=1/2
x=30°
Time =distance/velocity=
Vpg=√Vp^2+Vw^2+2*Vp*Vw*cos(45+x)
Vpg=√400^2+200√2^2+2*400*200√2cos75°
Vpg=√200(800)+400+800√2*0.2588
=546.399m/s
T=d/V=1000/546-399
T=1.83hr

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...