Question

15.
You measure a piece of rope and find its length to be 13 m. Find the percent error of this measurement. Round to the nearest hundredth.

Answer 1

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:

1. Identify the true value (say, 12 m).
2. Calculate the error: \( |12 - 13| = 1 \, \text{m} \)
3. 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.