How to Find Uncertainty in Physics?

Identify the measured quantity

Determine the instrument precision

Estimate the absolute uncertainty

Calculate the relative uncertainty

Calculate the percentage uncertainty

Combine uncertainties for repeated measurements

Use half the range for repeated readings

Use standard deviation for multiple data points

Add absolute uncertainties for addition and subtraction

Add percentage uncertainties for multiplication and division

Apply uncertainty rules to powers and roots

Report the final value with its uncertainty

Round the uncertainty to one significant figure

Round the measured value to match the uncertainty

State units with the result

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