What Happens to Percent Error as the Number of Vectors Increases?

In summary, as the number of vectors to be added increases, the percent error also increases. This is shown by computing the percent error of 2 vectors (5.88%) and 3 vectors (6.03%). The percent error is calculated by taking the experimental value minus the theoretical value, divided by the theoretical value, and multiplied by 100. As the number of vectors increases, the experimental value also increases, resulting in a larger percent error.
  • #1
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Homework Statement



What will happen to the percent error of graphical or force table method as the number of vectors to be added increases? Give proof.

3 vectors
A = 400 g
B = 450 g
C = 427 g


Homework Equations





The Attempt at a Solution



First, I computed for the percent error of 2 vectors. I used vectors A & B:

% error = [(400 - 425)/425] x 100 = 5.88%

Then, I computed for the percent error of 3 vectors:

% error = [(400 - 425.67)/425.67] x100 = 6.03%

I concluded that as the number of vectors to be added increases, the percent error also increases. I'm not really sure about my answer.
 
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  • #2
I am not sure what you are doing, you seemed to have taken an average of two or three numbers and then compared the first with the average? This is not correct. The percent error is the
((experimental value determined from the graph or force table - theoretical value determined from calculations)/theoretical value)) times 100 , or,

% error = 100(Experimental - Theoretical)/Theoretical.

The theoretical value is always the same. What about the experimental value as you increase the number of vectors in a given experiment?
 

FAQ: What Happens to Percent Error as the Number of Vectors Increases?

What is percent error in relation to vectors?

Percent error in relation to vectors refers to the difference between the actual value of a vector and the estimated or calculated value, expressed as a percentage of the actual value. It is used to evaluate the accuracy of a measured or calculated vector quantity.

How do you calculate percent error for vectors?

To calculate percent error for vectors, you first need to find the absolute value of the difference between the actual value and the estimated value of the vector. Then, divide this value by the actual value and multiply by 100 to get the percent error. The formula is: percent error = (|actual value - estimated value| / actual value) * 100.

What is a common cause of high percent error in vector calculations?

A common cause of high percent error in vector calculations is human error. This can include mistakes in measurements, calculations, or data entry. Another cause could be the use of outdated or inaccurate values for the actual or estimated vector values.

How is percent error used in scientific experiments involving vectors?

Percent error is often used in scientific experiments involving vectors to assess the accuracy of the experimental results. It allows scientists to compare their calculated values with the actual values and determine the level of accuracy of their experiment. This information can then be used to improve the experiment or make adjustments to the calculations.

Can percent error ever be negative in vector calculations?

No, percent error cannot be negative in vector calculations. This is because the absolute value of the difference between the actual and estimated values is always used in the formula, resulting in a positive value. A negative percent error would indicate that the estimated value is greater than the actual value, which is not possible in vector calculations.

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