Help with Error in gravity due to uncertainty in r.

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SUMMARY

The discussion focuses on deriving an algebraic expression for the error in gravitational acceleration (g) due to the uncertainty in the radius (r), using the formula g = GM/r². Participants emphasize the application of limit error formulas while assuming that errors in the gravitational constant (G) and mass (M) are negligible. The conversation highlights the importance of correctly identifying inputs for the error formula to accurately calculate the uncertainty in gravity.

PREREQUISITES
  • Understanding of gravitational force equations, specifically g = GM/r²
  • Familiarity with limit error formulas in physics
  • Basic algebra skills for manipulating equations
  • Knowledge of uncertainty analysis in measurements
NEXT STEPS
  • Study limit error propagation techniques in physics
  • Learn about uncertainty analysis in gravitational measurements
  • Explore advanced applications of algebraic expressions in physics
  • Review examples of error calculations in gravitational experiments
USEFUL FOR

Students in physics, educators teaching gravitational concepts, and anyone involved in experimental physics requiring error analysis in measurements of gravitational acceleration.

cam borrett
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Homework Statement



Derive an algebraic expression for the error in gravity due to the uncertainty in r. Use limit error formulas and show all steps. Assume that errors in G and M are negligible.

Homework Equations


g=GM/r^2

The Attempt at a Solution


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i use the error formula but not sure about what the input for what...
 
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cam borrett said:
i use the error formula but not sure about what the input for what...

Show us what you did. It is the absolutely easiest way for us to identify where you are going wrong or where your misconception lies.
 

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