# Help with uncertainty calculation

• jim421616
In summary, the equation for forced convection heat transfer coefficient over oval shapes is h = 12.5*v^0.6, where v = 5 +/- 0.6 m/s (95% confidence interval). The percentage uncertainty (95% CI) in the value of the convection heat transfer coefficient is 12%. To calculate the percentage uncertainty, the precise formula should be used instead of the approximation 0.12*0.6.
jim421616
Homework Statement
An equation for the forced convection heat transfer coefficient over oval shapes is h = 12.5*v^0.6 where v = 5 +/- 0.6 m/s (95% confidence interval). Calculate the percentage uncertainty (95% CI) in the value of the convection heat transfer coefficient, to 1 d.p.
Relevant Equations
h = 12.5*v^0.6
This is from an online quiz. I thought the answer would be
0.6/5 = 0.12
0.12*0.6 = 0.072
∴ 7.2%

but apparently this is wrong. Can anyone help me out please?

jim421616 said:
Homework Statement:: An equation for the forced convection heat transfer coefficient over oval shapes is h = 12.5*v^0.6 where v = 5 +/- 0.6 m/s (95% confidence interval). Calculate the percentage uncertainty (95% CI) in the value of the convection heat transfer coefficient, to 1 d.p.
Relevant Equations:: h = 12.5*v^0.6

This is from an online quiz. I thought the answer would be
0.6/5 = 0.12
0.12*0.6 = 0.072
∴ 7.2%

but apparently this is wrong. Can anyone help me out please?
0.12*0.6 is only an approximation valid for small percentage errors. 12% is rather large. Use the precise formula.

## 1. What is uncertainty calculation?

Uncertainty calculation is a method used to quantify the amount of uncertainty or error associated with a measurement or prediction. It takes into account the limitations of the measurement instrument or model being used and provides a range of values within which the true value is likely to fall.

## 2. Why is uncertainty calculation important in science?

Uncertainty calculation is important in science because it allows us to understand the reliability and accuracy of our data and results. It also helps us to make informed decisions and conclusions based on our findings.

## 3. How is uncertainty calculated?

Uncertainty is calculated using statistical methods such as standard deviation, confidence intervals, and propagation of uncertainty. These methods take into account the precision and accuracy of the measurement instrument or model, as well as any sources of error.

## 4. What factors can contribute to uncertainty in a measurement?

There are several factors that can contribute to uncertainty in a measurement, including limitations of the measurement instrument, human error, environmental conditions, and inherent variability in the system being measured.

## 5. How can uncertainty be reduced in scientific measurements?

Uncertainty can be reduced by using more precise and accurate measurement instruments, minimizing sources of error, and increasing the number of measurements taken. It is also important to properly document and report the uncertainty associated with a measurement to ensure transparency and reproducibility.

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