Lab Report #2 Standing Waves lab

was found at 0.30 kg of mass and error of 0.0005 kg. The sixth node was at 0.19 kg of weight and an error of 0.0005 kg. The seventh node was found at 0.13 kg and an error of 0.0005 kg. The eighth and final node was found at 0.10 kg and an error of 0.0005 kg. The error was found by dividing half the smallest increment and which resulted in a 0.0005 kg error. The distance between nodes was measured using a ruler stick and can be seen in the table below along with the average and error in the average. Table 1: Data from Investigation 1 Nodes: L # (m) L " (m) L & (m) L % (m) L , (m) L - (m) L . (m) L /0+ (m) δL /0+ (m) n=3 0.775 0.775 x x x x x 0.775 0.00354 n=4 0.530 0.532 0.532 x x x x 0.531 0.00289 n=5 0.405 0.406 0.407 0.403 x x x 0.405 0.00250 n=6 0.324 0.325 0.323 0.328 0.325 x x 0.325 0.00224 n=7 0.265 0.265 0.268 0.273 0.272 0.272 x 0.269 0.00204 n=8 0.229 0.26 0.227 0.223 0.231 0.231 0.23 0.233 0.00189 The lengths between the nodes were measured using a ruler stick. The average distance between adjacent nodes was calculated by adding the lengths and dividing by how many nodes there were and dividing by that number. The error of L /0+ was calculated by using the following formula: ࠵?L /0+ = √3 3 ࠵?࠵? The wavelength and error in wavelength were obtained as well as the tension force and the error were found by adding washers until the wave vanished. The wave velocity, wave velocity squared, and their respective errors were also found which can be seen in the table below. Table 2: Lambda, Tension, Velocity, and Velocity Squared along with the associated errors n λ (m) δλ (m) Fs (N) δFs (N) ࠵? 1’()*+ (m/s) δ ࠵? 1’()*+ (m/s) ( ࠵? 1’()*+ )^2 (m/s) (δ ࠵? 1’()*+ )^2 (m/s) 3 1.55 0.00707 10.84 1.56 186.0 0.849 34596.0 316.0 4 1.06 0.00577 5.15 0.920 128.0 0.693 16261.4 177.0