Lab 7-Vibration String

Lab 7-Vibration String - Vibrating Spring Experiment#7 June...

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Vibrating Spring Experiment #7 June 5, 2007 Section 3 Lab Station 9
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Introduction: The purpose of this lab is to discover various properties of a vibrating spring. We drive the spring using a wave generator and use a computer program to record the data is received by the sensors. We are then able to use this data to calculate values such as the wave velocity, frequency, amplitude, etc. We can then compare these values that are obtained through the actual experiment to the theoretical values that are obtained by using the formulas we derive in class. We were able to see the differences in the amplitude as we changed the frequency and modes of the string. Finally, this experiment also allowed us to determine the properties that exist in nodes by converting what would be an anti-node to a node. Equations: Predicted Wave Velocity: pred T v μ = Tension: T = Measured Wave Velocity: 2 1 2 meas aN v t t = - Density of Stretched String: 0 1 L Z = Sum of Lengths of Stretched String: Z = Density of Unstretched String: 0 M L = Mass of Stretched String: 1 0 1 ML M L L = = Predicted Frequency: ( ) 2 pred pred n n v f a = T = tension µ = linear density of stretched string m = mass of unstretched string g = gravity a = length of horizontal portion of string n = mode µ 0 = linear density of unstretched string L 1 = length of string from clamp to pulley Z = total length of stretched string L = total length of unstretched string M = mass of stretched string
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Procedure: The procedure of this lab was separated into three different parts. Each part had its own objective in gathering data. The following is a visual diagram of the set up of the equipment. We first set up the equipment for the project by ensuring that the light sensor is aimed directly at the string in order to get correct data. This sensor measures any changes in the light that is shot onto the string by the laser beam. The laser must be set up so that it is hitting the string exactly. Once the equipment is properly set up, we can then move onto the data specific procedures of this experiment. The remaining portion of this section will talk about what procedures were taken in each specific part of the experiment. Part 1. In part 1 of the experiment we measure the mass and length of the unstretched string and use this value to calculate the density of the string. Once this is accomplished, we then attach the string to the clamp and run it over the pulley with a mass attached to the end of it. We then are left with a stretched string. We then perform the same calculations to the stretched string
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This note was uploaded on 05/08/2008 for the course PHYS 4AL taught by Professor Slater during the Spring '08 term at UCLA.

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Lab 7-Vibration String - Vibrating Spring Experiment#7 June...

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