Question

5.
You measure a piece of rope and find its length to be 12 m. Find the percent error of this measurement. Round to the nearest hundredth.

Answer 1

To calculate the percent error, we first need to know the exact or true value to compare against your measured value. However, since you've only provided the measured length of the rope (12 m) without an exact or theoretical value, I will demonstrate how to calculate the percent error generally.

The formula for percent error is:

\[
\text{Percent Error} = \left( \frac{|\text{Measured Value} - \text{True Value}|}{\text{True Value}} \right) \times 100\%
\]

Assuming you have a true value (let's denote it as \( T \)), you would substitute the measured value into the formula. For example, if the true value is 10 m, the calculation would be:

1. Calculate the absolute error:

\[
|\text{Measured Value} - \text{True Value}| = |12 - 10| = 2
\]

2. Substitute into the percent error formula:

\[
\text{Percent Error} = \left( \frac{2}{10} \right) \times 100\% = 20\%
\]

If you provide a true value for the rope's length, I can give you a specific percent error calculation. To summarize, without the true value, we cannot determine the exact percent error.