Determine the plane's ground velocity.

  • Thread starter Thread starter a.a
  • Start date Start date
  • Tags Tags
    Ground Velocity
Click For Summary
SUMMARY

The discussion focuses on calculating the ground velocity of a light plane traveling at 175 km/h on a heading of 8° east of north, affected by a 40 km/h wind from 80° east of north. The correct ground velocity is determined to be 167 km/h, contrasting with an incorrect calculation of 191 km/h. The error arose from misapplying the cosine law and incorrectly drawing the velocity triangle, leading to confusion in vector subtraction.

PREREQUISITES
  • Understanding of vector addition and subtraction
  • Familiarity with the cosine law in trigonometry
  • Knowledge of basic navigation concepts
  • Ability to draw and interpret velocity triangles
NEXT STEPS
  • Study vector addition and subtraction in physics
  • Review the cosine law and its applications in navigation
  • Learn how to construct and analyze velocity triangles
  • Explore real-world applications of ground velocity calculations in aviation
USEFUL FOR

Aerospace engineering students, physics learners, and anyone involved in navigation or flight dynamics will benefit from this discussion.

a.a
Messages
126
Reaction score
0

Homework Statement



1 A light plane is traveling at 175km/h on a heading of 8° east of north in a 40-km/h wind from 80° east of north. Determine the plane's ground velocity.

Homework Equations



cosine law


The Attempt at a Solution


I found the resultant to be 191 km/h but the answer is 167 km/h
 
Last edited:
Physics news on Phys.org
Show us your working a.a it will help us see where you have gone wrong if you have. :smile:
 
a.a said:
I found the resultant to be 191 km/h but the answer is 167 km/h

Hi a.a! :smile:

You've added the 2*40*175*cos72 instead of subtracting it.

I expect you've drawn the triangle wrong.

If the velocity of the plane the air and the ground are P A and G, then the question asks for P - G, which is (P - A) + (A - G).

Draw the triangle so that the arrows go the right way. :smile:
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 5 ·
Replies
5
Views
5K
Replies
25
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K