Question

EXPERIMENT 1 Experimental Error and Data Analysis (c) In an experiment to determine the value of , a cylindrical can of potato chips is measured to have an average value of 6.90 cm for its diameter and an average value of 22.29 cm for its circumference. What is the value of n to the correct number of significandfigures? (Hint: c=d, r=? Solve for the unknown first)) Experimental value of ER 2. Expressing Experimental Error (a) If the accepted value of ne is 3.14, what are the absolute, fractional and percent error values of the experimental value found in 1(c)? Absolute error of experimental value of Fractional error of experimental value of Percent error of experimental value of

Answer 1

1.

(c) The experimental value of pi is

$\pi_{exp} = \frac{22.29}{6.90} = 3.23$

2.

(a) The absolute error is

(b) The fractional error is

$e_{frac} = \frac{0.09}{3.14} = 0.02$

(c) The percentage error is

0.09 €% x 100 = 2% 3.14