2- Use equation (3) page (3) to calculate the average density of each cylinder 4m p = nd i 3- Calculate the standard error of the density Ap, where: Am Al 2Ad Ap = +lpl + + 17 ld3- Calculate the density and the random error in the density of the cylinder, ll your answers in table (1) Table (1) Cylinder 1 Accuracy of the . Standard error used dewce Measured quantity Mass (3) Diameter (cm) Length (cm) (B) To determine the density of a cylinder, the mass (m), length (i), and diameter (d) were measured four times independently to reduce the random errors. Use the data in table (1) for the two cylinders to calculate the density and the random (standard) error for each cylinder. Table (2) Trial 1 2 w 207.90 207.90 207.90 207.90 3 4 Average Cylinderz 21.72 2159 2159 2171 - - The masses were measured by a digital balance with an accuracy of 0.01 g. - The length of the cylinder was measured using a Vernier caliper of accuracy 0.002 cm (0.02 mm). - The diameter of both objects was measured using a micrometer of accuracy of 0.001 cm (0.01 mm). EALCULATIONS AND DATA ANALYSIS: 1- Calculate the average, the random {standard} error for cylinder 2 and write your answers the table below: + \"M 2- Write each density in the forrnf i Ax. 3- According to your results, what is the type of materials used in both parts of the experiment? (use the Table ofdensities page 2 in the lab manual] Cylinder [1}: material ..................actual value for the density: Cylinder {2}: material ............... actual value for the density: 4- Calculate the percentage error of the density for each cylinder. . . . . . 4 5- Show that the equation ofdensrty for a solid cylinder Is 9 = E\"; 5- How can you measure the density of a non-uniform object? I!- A glass stopper has a volume of 16 cm3 and a mass of 403. Calculate the density of glass in gfcrn3 and in kgfrn3. Material Density (g/cm3) Aluminum 2.70 Topaz 3.6 Silver 10.49 Brass 8.52 Vanadium 6.1 Copper 8.92 Zink 7.14 Gold 19.3 Iron 7.86