Understanding Measurements and Uncertainties
Every measurement you take in physics has some level of uncertainty—and that's perfectly normal! The key difference lies between random errors (which vary unpredictably) and systematic errors (which consistently shift your results in one direction).
Random errors pop up because of environmental factors or difficulty reading instruments. You can't eliminate them completely, but taking multiple measurements and calculating the mean helps reduce their impact. Systematic errors, however, come from faulty equipment or poor technique—these you can actually fix.
Accuracy tells you how close you are to the true value, whilst precision shows how consistent your repeated measurements are. Think of it like darts: accurate throws cluster around the bullseye, precise throws cluster together (but might miss the target entirely).
Remember: After discarding outliers, your absolute uncertainty is ± (range of measurements ÷ 2). If you've only got one measurement, use the resolution of your measuring equipment instead.
Percentage uncertainty helps you compare the reliability of different measurements: just divide absolute uncertainty by the actual value, then multiply by 100.