Questions: Question 5 1 pts Calculate the percent error between the measured quantity, A , and the theoretical quantity, B. A=14 B=17 Enter your answer as a percentage, rounded to the nearest whole number. Do NOT input the "%" symbol.

Question 5
1 pts

Calculate the percent error between the measured quantity, A , and the theoretical quantity, B.

A=14
B=17

Enter your answer as a percentage, rounded to the nearest whole number. Do NOT input the "%" symbol.
Transcript text: Question 5 1 pts Calculate the percent error between the measured quantity, A , and the theoretical quantity, B. \[ \begin{array}{l} A=14 \\ B=17 \end{array} \] Enter your answer as a percentage, rounded to the nearest whole number. Do NOT input the "\%" symbol. $\square$
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Solution

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Solution Steps

Step 1: Identify the Formula for Percent Error

The formula for percent error is given by: \[ \text{Percent Error} = \left( \frac{|A - B|}{|B|} \right) \times 100 \]

Step 2: Substitute the Given Values

Substitute the values of \( A = 14 \) and \( B = 17 \) into the formula: \[ \text{Percent Error} = \left( \frac{|14 - 17|}{|17|} \right) \times 100 \]

Step 3: Calculate the Absolute Difference

Calculate the absolute difference between \( A \) and \( B \): \[ |14 - 17| = 3 \]

Step 4: Divide by the Absolute Value of the Theoretical Quantity

Divide the absolute difference by the absolute value of the theoretical quantity \( B \): \[ \frac{3}{17} \]

Step 5: Multiply by 100 to Convert to Percentage

Multiply the result by 100 to convert it to a percentage: \[ \left( \frac{3}{17} \right) \times 100 \approx 17.647 \]

Step 6: Round to the Nearest Whole Number

Round the result to the nearest whole number: \[ \approx 18 \]

Final Answer

\(\boxed{18}\)

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