BloomLocke367
  • BloomLocke367
Help with finding Resultant vectors using trig? I kind of know what I'm doing but I want verification I'm doing it correctly.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Jaynator495
  • Jaynator495
*whistles while waiting*
Jaynator495
  • Jaynator495
annnyyyy day now...
Jaynator495
  • Jaynator495
and im waiting and im waiting and im waitng...

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Jaynator495
  • Jaynator495
TYPE FASTER!!!! xD
BloomLocke367
  • BloomLocke367
\(F_1=6.7~N~@ ~54°~W~of~N\) \(F_2=9.2~N~@ ~26°~W~of~S\)
Jaynator495
  • Jaynator495
Jeese i go to help in math for the first time in a long time and people take forever to post the question! xD
BloomLocke367
  • BloomLocke367
sorry XD I had to look up the code for the degree sign
Jaynator495
  • Jaynator495
XD
BloomLocke367
  • BloomLocke367
I'm pretty sure I have to add \(90°\) to the first one because it's in the 3rd quadrant and you always start in the first for these problems (this is technically physics but it's still math lol)
Jaynator495
  • Jaynator495
you help them peachpi lel
Jaynator495
  • Jaynator495
*laughs away*
BloomLocke367
  • BloomLocke367
I know I have to separate it in components and I do that using trig.. so.. hang on.. this will take some time for me to type out lol. please be patient.
IrishBoy123
  • IrishBoy123
draw it :p quicker/easier
BloomLocke367
  • BloomLocke367
I can't.. my cursor goes BEHIND google chrome.. so I have to type it. /sigh
Jaynator495
  • Jaynator495
um, out of curiosity, is it a piticulair site orrr...
BloomLocke367
  • BloomLocke367
IT'S GOOGLE CHROME. ONLY GOOGLE CHROME DOES IT. ALL SITES.
BloomLocke367
  • BloomLocke367
sorry
Jaynator495
  • Jaynator495
LMAO
BloomLocke367
  • BloomLocke367
anyhoo.. let me do math cx
Jaynator495
  • Jaynator495
i still dont know what to tell you... *laughs !!half!! to !^death^!*
BloomLocke367
  • BloomLocke367
\(F_{1x}=6.7Cos(144)\\F_{1y}=6.7Sin(144)\\ F_{2x}=2.9Cos(244)\\F_{2y}=2.9Sin(244)\) I know I then have to add \(F_{1x}\) and \(F_{2x}\) and add \(F_{1y}\) and \(F_{2y}\).
BloomLocke367
  • BloomLocke367
@IrishBoy123
BloomLocke367
  • BloomLocke367
is that correct so far?
BloomLocke367
  • BloomLocke367
@phi
phi
  • phi
yes, that looks good
BloomLocke367
  • BloomLocke367
okay so when I added \(F_{1x}\) and \(F_{2x}\) I got -1.48... but I have a calculator on my phone and I don't know if it's in radians or degrees so I'm not sure that's right...
phi
  • phi
up top you said F2 is 9.2 and in your calculations you are using 2.9 which is it ?
BloomLocke367
  • BloomLocke367
dang it.. it's 9.2.. I accidentally wrote 2.9 :/ okay let me redo them.
BloomLocke367
  • BloomLocke367
-9.45?
phi
  • phi
yes, for the x value
BloomLocke367
  • BloomLocke367
okay now for y...
BloomLocke367
  • BloomLocke367
-4.33?
phi
  • phi
yes
BloomLocke367
  • BloomLocke367
so then I take \(F=\sqrt{(-9.45)^2+(-4.33)^2}\) right?
phi
  • phi
if you want the magnitude, yes
BloomLocke367
  • BloomLocke367
yes that is what we are looking for at this moment. I'll find the degree next using tangent.
BloomLocke367
  • BloomLocke367
I got 10.39. is that right?
BloomLocke367
  • BloomLocke367
and I got 8.01° for the angle measure.. but both x and y are negative.. so it needs to be in the 3rd quadrant and is currently in the first.. so I have to add 180, correct? to get 188.01°
BloomLocke367
  • BloomLocke367
wait.. that doesn't matter because they gave direction.. so instead I would just say 8.01° N of E, right?
BloomLocke367
  • BloomLocke367
I don't know. .this is where I get confused.
phi
  • phi
you probably want to use 3 decimals in the calculation if you want 2 digit accuracy I get mag 10.4 (rounded 10.3979) No I did not get 8 degrees type into google atan(4.331/9.453) in degrees =
BloomLocke367
  • BloomLocke367
wait.. why did you use those numbers? I used -4.33 and -9.45..
phi
  • phi
|dw:1443212499462:dw|
BloomLocke367
  • BloomLocke367
wait nevermind *facepalm*
phi
  • phi
I used 3 digits (you can always round down later) I ignored the 2 minus signs because they cancel each other
BloomLocke367
  • BloomLocke367
I SEE WHAT I DID. I typed 1.33 and not 4.33 XD
BloomLocke367
  • BloomLocke367
24.62?
phi
  • phi
yes, and that will be 24.6 degrees south of west or 65.4 degrees west of south
BloomLocke367
  • BloomLocke367
wait.. why is it south of west?..
phi
  • phi
|dw:1443212895471:dw|
BloomLocke367
  • BloomLocke367
I thought what we calculated was 24.6° N of E... and we would have to figure out S of W.. but I don't know.
BloomLocke367
  • BloomLocke367
Is it because I added what I needed to in the beginning? so I don't have to at the end?
phi
  • phi
you changed 54º W of N to 144º (measured as we do in math, counter clockwise from the positive x-axis). similarly you changed 26º W of S to 244º now add the vectors (head to tail) |dw:1443213168068:dw|
phi
  • phi
you found the components of the dark vector <9, -4> it is pointing south of west. if we find the angle it makes with the (negative) x-axis we get 24.6º
BloomLocke367
  • BloomLocke367
ohhh okay. I think I understand a little bit better. My main issue is figuring out what direction/angle the resultant vector is going.
phi
  • phi
using formulas (as you did) and drawing the vectors are very different ways of solving the problem. If you do it both ways, it is a good way to check your results. the picture gives you a rough idea of the answer and the formulas give the exact numbers.
BloomLocke367
  • BloomLocke367
Alright. The next one has 3 vectors.. I generally understand these they just take me a very long time to do them. :/
BloomLocke367
  • BloomLocke367
Do you mind if I open a new question and tag you?
phi
  • phi
yes, a new post is better

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