# Wright State University Lake Campus/2016-9/Phy1110/log/Brack Attack25

### Vector Balancing [1]

• The objective of this experiment is to observe the balancing forces behind the vectors formed by a 3 4 5 triangle using three weight holders on a vector table.
• Experimental Steps
• First set two weight holders 90 degrees apart
• Place 200g at 0 degrees, 250g at unknown, and 150g at 90degrees respectively on each weight holder
• Experiment by moving the third weight until the vectors have balanced and the ring is centered
• Do math
• Measure the largest unknown angle on your vector table
• Divide actual angle measurement by the difference between actual and measured angle to determine error percentage
• Results
• We found our largest angle to be 144 degrees and calculated the actual angle to be 143 degrees, resulting in a .7% error
• Calculations
• ${\displaystyle x+\theta =180\deg }$
${\displaystyle \tan \theta ={\frac {3}{4}}}$
${\displaystyle \theta =\left(\operatorname {arctan} {\frac {3}{4}}\right)\cdot {\frac {180\deg }{\pi }}=X}$
${\displaystyle 180-X=\theta _{\text{actual}}}$

${\displaystyle \theta _{\text{actual}}=180-\left(\operatorname {arctan} {\frac {3}{4}}\right)\cdot {\frac {180\deg }{\pi }}}$
1. Copied from Austin Smith and Guy Vandegrift