A new high-speed helicopter is travelling at an air speed (that is, a speed relative to the surrounding air) of 400 kmh- with a heading of 70°. There is a wind blowing at a speed of 70 km h- from the south-cast. Take unit vectors i to point east and j to point north. (a) Express the velocity h of the helicopter relative to the air, and the velocity w of the wind, in component form, giving the numerical values in kmh-l to one decimal place. (b) Express the resultant velocity v of the helicopter, relative to the ground, in component form, giving numerical values in kmh-l to one decimal place. (c) Hence find the magnitude and direction of the resultant velocity v of the helicopter, giving the magnitude in kmh- to one decimal place and the direction as a bearing to the nearest degree.

A new high-speed helicopter is travelling at an air speed (that is, a speed relative to the surrounding air) of 400 kmh- with a heading of 70°. There is a wind blowing at a speed of 70 km h- from the south-cast. Take unit vectors i to point east and j to point north. (a) Express the velocity h of the helicopter relative to the air, and the velocity w of the wind, in component form, giving the numerical values in kmh-l to one decimal place. (b) Express the resultant velocity v of the helicopter, relative to the ground, in component form, giving numerical values in kmh-l to one decimal place. (c) Hence find the magnitude and direction of the resultant velocity v of the helicopter, giving the magnitude in kmh- to one decimal place and the direction as a bearing to the nearest degree.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

A new high-speed helicopter is travelling at an air speed (that is, a speed
relative to the surrounding air) of 400 kmh-1 with a heading of 70°. There is
a wind blowing at a speed of 70 km h-1 from the south-east.
Take unit vectors i to point east and j to point north.
(a) Express the velocity h of the helicopter relative to the air, and the
velocity w of the wind, in component form, giving the numerical values
in kmh-l to one decimal place.
(b) Express the resultant velocity v of the helicopter, relative to the ground,
in component form, giving numerical values in kmh-1 to one decimal
place.
(c) Hence find the magnitude and direction of the resultant velocity v of
the helicopter, giving the magnitude in km h- to one decimal place and
the direction as a bearing to the nearest degree.

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