Direction of Resultant Displacement

  • Thread starter mbaha
  • Start date
  • #1
1
0

Homework Statement



Instructions for finding a buried treasure include the following: Go 572.7 paces at 223◦, turn to 156◦
and walk 124 paces, then travel 417 paces at 242◦

I have already found the magnitude...1015.66 paces
Now I need to find the resultant displacement...

What is the direction of the resultant displacement in degrees? Use counterclockwise from due East as the positive angular direction, between the limits of −180◦ and +180◦

Homework Equations


To find magnitude: x=572.7cos(223)+124cos(156)+417cos(242)
x=-418.846-113.28-195.77=-727.896

y=572.7sin223+124sin156+417sin242
y=-390.58+50.4553-368.189=-708.334

-727.896^2+-708.334^2 = sqrt of 529833+501737 = 1015.66 paces


The Attempt at a Solution



To find the direction of the resultant in degrees do I use arctan -708.334/-727.896x
or x1+x2 and y2-y1?
 

Answers and Replies

  • #2
andrevdh
Homework Helper
2,128
116
The arctan will give the required angle. I am not sure at all why you want to use only the x and y components of the first two vectors and not include the third vector since you need to determine the direction of the resultant which would be influenced by the third vector.
 

Related Threads on Direction of Resultant Displacement

  • Last Post
Replies
2
Views
174
  • Last Post
Replies
1
Views
4K
Replies
3
Views
47K
Replies
1
Views
717
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
867
  • Last Post
Replies
4
Views
12K
  • Last Post
Replies
10
Views
18K
  • Last Post
Replies
1
Views
3K
Top