SUMMARY
The relative uncertainty of a measured distance R, given as 3.400±0.003m, is calculated to be 8.8×10-4. When determining the relative uncertainty for R-2, the calculation yields -1.76×10-3. However, the negative sign is disregarded as relative uncertainty is always expressed as a positive value, indicating that the magnitude should be taken into account. Thus, the correct relative uncertainty for R-2 is 1.76×10-3.
PREREQUISITES
- Understanding of relative uncertainty calculations
- Familiarity with exponent rules in mathematics
- Basic knowledge of measurement error analysis
- Proficiency in handling significant figures
NEXT STEPS
- Study the concept of relative uncertainty in measurements
- Learn about error propagation in mathematical functions
- Explore the implications of negative exponents in physical formulas
- Review significant figures and their role in uncertainty calculations
USEFUL FOR
Students in physics or engineering, educators teaching measurement and uncertainty, and professionals involved in precision measurement and data analysis.