The percent error is defined as the percent difference between the theoretical value and the measurement:
[tex]E_{\%}=\frac{v_m-v_t}{v_t}\times100\%[/tex]Replace 2.314 in for the theoretical value and 2.317 in for the measured value to find the percent error:
[tex]E_{\%}=\frac{2.317\text{ in}-2.314\text{ in}}{2.314\text{ in}}\times100\%=0.1296...\%\approx0.13\%[/tex]Therefore, the machinist's percent error was approximately 0.13%.
