To calculate the percent error of a measurement, you can use the formula:
\[ \text{Percent Error} = \left( \frac{\text{Absolute Error}}{\text{True Value}} \right) \times 100 \]
However, since you haven't provided a "true value" or an accepted value for the length of the rope, we can assume a scenario where the measurement might have an inherent uncertainty. Commonly, if the measurement is done with a standard measurement tool (like a ruler), we may assume an absolute error based on the smallest division of the tool.
For example, if the measurement was done with a ruler that has a smallest division of 1 cm (0.01 m), we could assume that the absolute error is half of that, which is 0.005 m.
Using 12 m as the true value and 0.005 m as the absolute error, we can calculate the percent error:
- Calculate the percent error:
\[ \text{Percent Error} = \left( \frac{0.005}{12} \right) \times 100 \]
- Calculate:
\[ \text{Percent Error} = \left( \frac{0.005}{12} \right) \times 100 \approx 0.04167 \]
- Rounding to the nearest hundredth:
\[ \text{Percent Error} \approx 0.04 \]
Thus, the percent error of your measurement is approximately 0.04%. If you have specific details on the true value or a different accepted value, please provide that information for a more precise calculation.
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