Resultant velocity of a plane and a vector addition diagram

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SUMMARY

The discussion focuses on calculating the resultant velocity of an airplane flying at 300 km/hr with a heading of 35° south of west, influenced by a 78 km/hr wind blowing at 55° south of east. Participants emphasize using trigonometric methods to resolve vectors into their perpendicular components for accurate addition. The second part of the discussion involves finding the resultant force from three concurrent forces: 85 N directed S50°E, 50 N directed N45°E, and 70 N directed N30°W. The use of vector diagrams and component-wise addition is recommended for both problems.

PREREQUISITES
  • Understanding of vector addition and resolution
  • Familiarity with trigonometric functions (sine, cosine)
  • Ability to draw and interpret vector diagrams
  • Knowledge of force vectors and their components
NEXT STEPS
  • Learn how to resolve vectors into components using trigonometry
  • Study vector addition techniques in physics
  • Practice drawing vector diagrams for concurrent forces
  • Explore applications of resultant velocity in aviation physics
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Students studying physics, particularly those focusing on vector analysis and force calculations, as well as educators looking for practical examples to illustrate these concepts.

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--An airplane flies at 300 km/hr with a heading of 35* south of west, as a 78 km/hr wind blows in the direction of 55* south of east. The resultant velocity of the plane is...

--A force of 85 N S50*E, a force of 50 N N45*E, and a force of 70 N N30*W act concurrently on an object. Draw a vector diagram and find the resultant force.


I've tried to do these, I was absent from school a few days and missed instruction on how to work them out..I'd appreciate any help :smile:
 
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If you can use trig to separate the vectors into perpendicular components (say a northward and a westward component) then you can do componentwise addition.

You could also use a protractor and a ruler, but it's harder to get precise answers that way.
 
ok I'm still confused...i'm assuming that was for the 2nd question, does anyone know how to do the first?
 

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