How to Calculate Percentage Error in Scientific Measurements?

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  • Thread starter Thread starter Shawn-Kgn
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SUMMARY

This discussion focuses on calculating percentage error in scientific measurements, specifically using the functions y=3x² and V=4/3πr³. For the first question, a 3.5% error in x results in a percentage error in y calculated using the formula for propagation of uncertainty. For the second question, a 2% error in the radius leads to a percentage error in the volume of the sphere, which can also be determined through differential calculus principles.

PREREQUISITES
  • Understanding of differential calculus
  • Familiarity with the concept of percentage error
  • Knowledge of the formulas for volume of a sphere and polynomial functions
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the propagation of uncertainty in measurements
  • Learn how to apply differential calculus to error analysis
  • Research the formula for percentage error in polynomial functions
  • Explore practical applications of percentage error in scientific experiments
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Students in scientific fields, researchers conducting experiments, and anyone involved in measurements and data analysis will benefit from this discussion.

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?
 

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