wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

An airplane pilot sets a compass course due west and maintains an airspeed of 240km/hr1. After flying for 12hr, he finds himself over a town is 150km west and 40km south of his starting point.
1. Find the wind velocity, in magnitude and direction.
2. If the wind velocity were 120 km/hr due south, in what direction should the pilot set his course in order to travel due west? Take the same airspeed.

Open in App
Solution

d2=(1502)+(402)
22500+1600
24100km2
d=24100=155km
θ=tan1(40150)tan10.2667
=150
velocity of pilot with respective to ground (v1)
(v1)
=1550.5=310kmh1
(v2)bevelocityofairand(v3)bevelocityofwind
cosine law
v23v12v222v1v2cos150
(2402)+(3102)2(210)(310)(0.9659)
57600+96100143730
9970
(v3)=100kmh1

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Speed and Velocity
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon