Solving Vector Measurement Concerns in Lab

AI Thread Summary
In the lab, there are concerns about accurately calculating vector components X and Y, leading to discrepancies between calculated and measured resultant R values. Using the book's method results in a smaller R_calc, while an alternative approach yields a closer match to the measured value. The discussion highlights the importance of correctly applying trigonometric principles, particularly in non-right triangles, to find the correct components. The user is advised to reconsider their method for determining the vector components to reduce the percentage error. Overall, accurate vector measurement techniques are crucial for reliable lab results.
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http://img366.imageshack.us/img366/5171/phwq5.jpg Hello there. In lab, we measured vectors. I'm having a little concern on how to get X and Y. If I follow the books method, R_calc comes out too small compare to measure R. (Big % error).

X:
15.5+12.4cos37 = 25.4
Y:
0+9.3sin37 = 5.4
R:
square root of (25.4^2+5.4^2) = 26cmIf I do it my way, R is a lot closer to measure.

X:
15.3+12.4= 27.9cm
Y:
0 + 9.3 = 9.3 cm
R:
square root of (27.9^2+9.3^2) = 29.4 cmThe measurements (x1/2; y1/2; R m) are pretty accurate. What am I doing wrong? Thanks for any help.
 
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OK, I will try to point out a couple of things:

Agent said:
http://img366.imageshack.us/img366/5171/phwq5.jpg


Hello there. In lab, we measured vectors. I'm having a little concern on how to get X and Y. If I follow the books method, R_calc comes out too small compare to measure R. (Big % error).

X:
15.5+12.4cos37 = 25.4
I'm not sure I understand what you are attempting, but as I see it your x value is not correct. R is made up of x1 and b in this case. You need to find b, to solve it this way. So use trig to find b instead of x2. But it isn't a right triangle, so the resultant is a little more difficult to solve for.Y:
0+9.3sin37 = 5.4
R:
square root of (25.4^2+5.4^2) = 26cm

This is correct:If I do it my way, R is a lot closer to measure.

X:
15.3+12.4= 27.9cm
Y:
0 + 9.3 = 9.3 cm
R:
square root of (27.9^2+9.3^2) = 29.4 cm


The measurements (x1/2; y1/2; R m) are pretty accurate. What am I doing wrong? Thanks for any help.
 
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