Airtimes

an airplane, flying in the direction of 35 degree east of north at 325 mph in still air, encounter a 40-mph tail wind acting in the direction 50 degree west of north. the airplane maintains its compass heading but, because of the wind, acquires a new ground speed and direction. what are they?
whats the new ground speed?
whats is the new direction angle (thats east of north)?

This question calls for vector addition.

Pretend the sky is on an x-y plane. If the airplane is go east of north at 35°. It is in quadrant I.
Therefore, the i and j component are positive

Airplane = 325mph[sin35°i + cos35°j]

The wind is acting in quadrant II which means it is going in the positive y, negative x.

Wind = 40mph[-sin50°i + cos50°j]

The new vector for the plane is airplane + wind = [325mph*sin35°i - 40mph*sin50°i + 325mph*cos35°j + 40mph*cos50°j] = [155.77mph i + 291.94mph j]

New direction is arctan(155.77/291.94) = 28.08°from the y axis

And a new ground speed of (155.77^2 + 291.94^2)^(1/2) = 330.90mph

Email me if you have any questions

Technorati Tags: Acting, airplane, Axis, Compass Heading, Degree East, encounter, Ground Speed, New Direction, New Ground, Quadrant Ii, sky, Tail Wind, Vector Addition, Whats New, Wind Direction

and how often do they do it?

As the previous answer said, a cross-wind landing is when you have some amount of wind coming from the left or right. That is, when it’s not directly down the runway. airplanes like to land into the wind but it’s not always possible.

Virtually all landings are cross-wind landings. It’s unusual to have the wind coming right down the runway, though runways are usually built so they point into the predominant wind direction. Where I live that means almost every airport has a 13/31 runway because the winds are usually out of the northwest or somewhere between west and north.

Technorati Tags: airplane, airplanes, landings, Northwest, Runways, Wind Direction

an airplane, flying in the direction of 40degree east of north at 475 mph in still air, encounter a 30-mph tail wind acting in the direction 40degree west of north. the airplane maintains its compass heading but, because of the wind, acquires a new ground speed and direction. what are they?
whats the new ground speed?
whats is the new direction angle (thats east of north)?

thank you

http://www.youtube.com/watch?v=eBgLvN10ufA&NR=1

Technorati Tags: Acting, airplane, Amp, Compass Heading, encounter, Ground Speed, New Direction, New Ground, Nr, Tail Wind, Whats New, Wind Direction, Wind Speed