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swain1
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Homework Statement
If the uncertainty in a measurement of dameter is +-0.02cm is the uncertainty in radius the same or half of this value. The formula given in wikipedia implies that it would be half of the value.
Cheers
swain1 said:Homework Statement
If the uncertainty in a measurement of dameter is +-0.02cm is the uncertainty in radius the same or half of this value. The formula given in wikipedia implies that it would be half of the value.
Cheers
Homework Equations
The Attempt at a Solution
Combining uncertainties refers to the process of quantifying and taking into account the uncertainties associated with multiple variables in a scientific measurement or calculation. It involves considering the individual uncertainties of each variable and determining the overall uncertainty of the final result.
Combining uncertainties is important because it allows for a more accurate and reliable representation of the final result. By taking into account the uncertainties of each variable, we can better understand the potential errors or variations in the measurement or calculation, and make more informed decisions based on the data.
There are several methods for combining uncertainties, including the root-sum-square method, the Monte Carlo method, and the Bayesian method. Each method has its own advantages and is suitable for different types of uncertainties and data sets.
Combined uncertainties are typically expressed using a plus or minus value, indicating the range of possible error in the final result. For example, if the final result is 10 +/- 0.2, this means that the true value could be anywhere between 9.8 and 10.2 due to the combined uncertainties.
Some common sources of uncertainties that can be combined include instrumental errors, human errors, statistical errors, and systematic errors. These uncertainties can arise from various factors such as limitations of the measuring instrument, variations in environmental conditions, and limitations of the experimental setup.