To find the absolute and relative errors, we can use the following formulas:

1. Absolute Error: The absolute error is the difference between the true value and the measured value. $\text{Absolute Error} = |\text{True Value} - \text{Measured Value}|$
2. Relative Error: The relative error is the absolute error divided by the true value, often expressed as a percentage. $\text{Relative Error} = \frac{\text{Absolute Error}}{\text{True Value}} \times 100$

Given:

• True Value (T) = 252.14 mm
• Measured Value (M) = 249.02 mm

Now, let's calculate:

Step 1: Calculate the Absolute Error

$\text{Absolute Error} = |252.14 - 249.02| = 3.12 \, \text{mm}$

Step 2: Calculate the Relative Error

$\text{Relative Error} = \frac{3.12}{252.14} \times 100 \approx 1.238\%$

Final Answer:

• Absolute Error = 3.12 mm
• Relative Error = 1.238%

Would you like more details on any of these steps?

Here are 5 related questions to explore:

1. How does relative error change if the measured value is closer to the true value?
2. What is the difference between relative error and percentage error?
3. How can absolute error be reduced in experimental measurements?
4. Why is relative error often more useful than absolute error?
5. What happens to the relative error if the true value is much larger?

Tip: Always ensure your measurement device is calibrated to minimize both absolute and relative errors.