To calculate the percent error of a measurement, you need to know the actual or true value of the measurement and the measured value. The formula for percent error is:
\[ \text{Percent Error} = \left( \frac{|\text{True Value} - \text{Measured Value}|}{|\text{True Value}|} \right) \times 100% \]
In your situation, you've mentioned the measured length of the rope is 13 m, but you would need the true value to calculate the percent error.
If you have a true value, you can substitute it into the formula. For example, if the true length of the rope is supposed to be 12 m, the calculation would look like this:
- Identify the true value (say, 12 m).
- Calculate the error: \( |12 - 13| = 1 , \text{m} \)
- Calculate the percent error:
\[ \text{Percent Error} = \left( \frac{1}{12} \right) \times 100% \approx 8.33% \]
Please provide the true value if you'd like a specific percent error calculation.
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