The uncertainty of a triple-beam balance is 0.05g . What is the percent uncertainty in a measurement of 0.445kg ?

To find the percent uncertainty in the measurement, we can use the following formula:

\[
\text{Percent Uncertainty} = \left( \frac{\text{Absolute Uncertainty}}{\text{Measured Value}} \right) \times 100
\]

Given:
- Absolute uncertainty = \( 0.05 \, \text{g} \)
- Measured value = \( 0.445 \, \text{kg} = 445 \, \text{g} \)

Now, substitute the values into the formula:

\[
\text{Percent Uncertainty} = \left( \frac{0.05 \, \text{g}}{445 \, \text{g}} \right) \times 100
\]

Calculating:

\[
\text{Percent Uncertainty} = \left( \frac{0.05}{445} \right) \times 100 \approx 0.01124\%
\]

Thus, the percent uncertainty in the measurement of 0.445 kg is approximately \( 0.011\% \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How does increasing the measured value affect percent uncertainty?
2. What is the difference between absolute and relative uncertainty?
3. How can you reduce the uncertainty of a measurement?
4. What role does uncertainty play in significant figures?
5. How do you calculate uncertainty for measurements involving addition or subtraction?

**Tip:** When measuring small values, the uncertainty can become significant relative to the measurement, so it's important to report it properly.

The uncertainty of a triple-beam balance is 0.05g. What is the percent uncertainty in a measurement of 0.445kg?

Learn how to calculate the percent uncertainty in a measurement of 0.445 kg using a triple-beam balance with an uncertainty of 0.05 g. This problem demonstrates unit conversion and applying the percent uncertainty formula. Suitable for students in Grades 9-12.

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