# WSU PHYSICS 101 - Lab 12 Data and Observation

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Lab 12 Data and Observation Taylor Rhodes and Ryan Oliveira Independent length string weight mass nodes Dependent Frequency When plucked the string goes up and down and creates a node in the middle of the string The vibration period is very short 1 26 gms m string Amplitude 4 5 V Mass 5 kg Length m 0 76 m 0 99 m 1 175 m 1 47 m 1 64 m Frequency Hz 134 80 Hz 103 437 Hz 87 33 Hz 69 96 Hz 62 32 Hz The length is inversely proportional to frequency 1 Length m Frequency Hz 1 32 1 01 0 85 0 68 0 61 134 80 103 437 87 33 69 96 62 32 When we graphed the normal length vs frequency the graph wasn t linear but when we graphed 1 length vs frequency our graph was linear indicating that frequency is inversely proportional to length Now changing mass String 1 26 gms m Amplitude 4 5 V Length 0 97 m Mass kg 1 3 5 7 10 Frequency Hz 48 47 81 68 106 93 127 12 154 99 The relationship between weight and frequency is a power function Changing the number of Nodes Mass 3 kg Length 1 5 m N node 1 2 3 4 5 Frequency Hz 52 92 105 24 156 56 208 77 260 76 Number of nodes has a linear relationship to frequency Change String Length 1 64 m Mass 5 kg Sting Mass gms m 1 26 1 74 2 08 5 34 5 48 9 70 12 58 Frequency Hz 62 32 52 16 48 25 33 15 32 15 22 86 15 862 The graph shows that frequency is a power function of string weight Frequency as a Function of mass per unit length equation o o o

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