Physics: Calculating Uncertainty & Significant Figures

In summary, the conversation discusses difficulties with calculating uncertainty and percentage uncertainty, as well as finding formulas and resources for help. The participants mention a link to a website that may assist with error analysis, and also ask for additional resources specifically related to division and multiplication.
  • #1
jinx007
62
0
Please help me i usually get a lot of problem to calculate uncertainty and percentage uncertainty...? is there any formula where i can remember it...and what abount the number of significant figures..?
 
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  • #2
http://physicslabs.phys.cwru.edu/MECH/Manual/Appendix_V_Error%20Prop.pdf

Might help with uncertainty/error analysis
 
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  • #3
Feldoh said:
http://physicslabs.phys.cwru.edu/MECH/Manual/Appendix_V_Error%20Prop.pdf

Might help with uncertainty/error analysis


Ohh thanks a lot..if there are other sites like this...ur are most welcome to share it...uncertainty with division, multiplication...
 
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  • #4
http://hug.phys.huji.ac.il/PHYS_HUG/MAABADA/mitkademet_a/errors.pdf
 
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  • #5


I can understand the difficulty in calculating uncertainty and significant figures. These concepts are important in physics as they help us understand the precision and accuracy of our measurements.

To calculate uncertainty, there are a few key steps to follow. First, you need to identify the sources of uncertainty in your measurement. This could include instrument error, human error, or limitations in the measurement technique. Next, you need to determine the magnitude of each source of uncertainty and combine them using the appropriate mathematical operations (e.g. addition, subtraction, etc.). Finally, you need to express the uncertainty in a way that is consistent with the units of your measurement.

As for remembering the formula, it may be helpful to create a cheat sheet or reference guide with the steps outlined above. With practice, you will become more familiar with the process and will be able to easily calculate uncertainty without needing to rely on a specific formula.

In terms of significant figures, these are the digits in a number that carry meaning or contribute to the precision of the measurement. It is important to use the correct number of significant figures when reporting a measurement, as it reflects the precision of the measurement. A general rule is to use all of the digits that are known for certain, plus one estimated digit. For example, if you measure a length to be 4.23 cm, you would report it as 4.2 cm, as the last digit (3) is an estimate.

I hope this helps with your understanding of uncertainty and significant figures. Remember, practice makes perfect, so keep practicing and you will become more comfortable with these concepts.
 

1. What is uncertainty in physics?

Uncertainty in physics refers to the potential error or variation in a measurement or calculation. It is a measure of the range of possible values for a quantity, taking into account the limitations of the equipment used and the skill of the person making the measurement.

2. How is uncertainty calculated in physics?

Uncertainty is calculated by taking into account the precision of the measurement equipment and the number of significant figures used in the measurement. It is typically expressed as a plus or minus value, representing the range of possible values for the measured quantity.

3. What are significant figures in physics?

Significant figures are the digits in a measurement that are considered to be accurate and reliable. These digits are determined by the precision of the measuring device and are used to indicate the degree of uncertainty in a measurement. In physics, it is important to use the correct number of significant figures in calculations to ensure accuracy.

4. How do you round numbers to the correct number of significant figures?

To round numbers to the correct number of significant figures, follow these rules:

  • If the first digit to be dropped is less than 5, the last significant figure remains the same.
  • If the first digit to be dropped is 5 or greater, the last significant figure is increased by 1.
  • If the number to be rounded ends in zeros, the last significant figure is increased by 1 if the digit before the zeros is odd.
  • If the number to be rounded ends in zeros, the last significant figure remains the same if the digit before the zeros is even.

5. How are significant figures used in calculations?

In calculations, significant figures are used to ensure that the result is not more precise than the original data. The final answer should have the same number of significant figures as the measurement with the fewest significant figures. This helps to maintain the correct level of uncertainty and prevent false precision in the final result.

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