An aircraft has airspeed of 300km/h and it's course is 020°. The speed of the wind is 80km/h blowing from 320°..sketch the diagram to represent this information (ie: the triangle of velocities).
Velocities are vectors, so they can be added and subtracted similar to displacements in the previous problem.
What is important is that to draw the triangle of velocities is to join the head of the first vector to the tail of the next vector.
The resultant is the vector obtained by joining the tail of the first vector to the head of the second vector.
Following link gives a complete description on the subject.
http://www.physicsclassroom.com/class/vectors/Lesson-1/Vector-Addition
Remember, you need to understand the subject before attempting problems, otherwise you would need help for each and every problem presented to you.
To sketch the diagram representing the given information, follow these steps:
1. Draw a horizontal line to represent the ground, labeling it as the baseline.
2. At one end of the baseline, draw a straight line segment extending upwards at an angle of 020° (measured clockwise from the north).
3. Label this line segment as "Airspeed" and indicate its length as 300 km/h.
4. From the other end of the baseline, draw a straight line segment extending upwards at an angle of 320° (measured clockwise from the north). This line segment should intersect the previous line segment.
5. Label this line segment as "Wind" and indicate its length as 80 km/h.
6. Connect the two line segments together, forming a triangle with its base aligned with the baseline.
7. Label the remaining side of the triangle as "Ground Speed", indicating that it represents the resultant velocity of the aircraft relative to the ground.
8. To find the length of the "Ground Speed" side, you can use vector addition. Start by constructing a parallelogram with the "Airspeed" and "Wind" line segments as adjacent sides.
9. Complete the parallelogram by adding the diagonal that connects the endpoints of the "Airspeed" and "Wind" line segments.
10. Measure the length of this diagonal to determine the "Ground Speed" of the aircraft.
That's it! By following these steps, you should have a diagram representing the information provided.