How to Calculate Percentage Error in Scientific Measurements?

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In summary, percentage uncertainty is a measure of potential error in a measurement or calculation, expressed as a percentage of the measured value or result. It is calculated by dividing the absolute uncertainty by the measured value and multiplying by 100%. Percentage uncertainty is important in scientific measurements as it allows for understanding and communication of potential error and precision. Factors such as the accuracy and precision of the measuring instrument, the skill of the person taking the measurement, and external conditions can contribute to percentage uncertainty. To reduce percentage uncertainty, one can use more accurate and precise measuring instruments, take multiple measurements and calculate an average, and minimize external factors.
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Shawn-Kgn
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i have these two question i need help

1. given y=3x2 find the percentage error in y if there is a 3.5% in the calculation of x



2. the volume of a sphere is give by V= 4/3 pie r3. find the percentage error in the volume when there is a 2% error in the radius
 
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What have you tried? What is the formula for percentage error in terms of differentials?
 

What is percentage uncertainty?

Percentage uncertainty is a measure of the potential error or variability in a measurement or calculation. It is expressed as a percentage of the measured value or result.

How is percentage uncertainty calculated?

Percentage uncertainty is calculated by dividing the absolute uncertainty (the range of possible values) by the measured value and multiplying by 100%.

Why is percentage uncertainty important in scientific measurements?

Percentage uncertainty allows scientists to understand the potential error in their measurements and to communicate the reliability of their results. It also helps in comparing the precision of different measurements.

What factors can contribute to percentage uncertainty?

The accuracy and precision of the measuring instrument, the skill of the person taking the measurement, and external factors such as environmental conditions can all contribute to percentage uncertainty.

How can percentage uncertainty be reduced?

Percentage uncertainty can be reduced by using more accurate and precise measuring instruments, taking multiple measurements and calculating an average, and minimizing external factors that may affect the measurement.

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