Question

Question 1. What does the slope of the plot of tension force vs. position represent?

Question 2. For the second run, do you notice nonlinear behavior at high tension forces? Does this indicate the material is becoming stiffer or slinkier?

Question 3. What does the trend in the graph indicate will happen if you keep adding even more tension to the wire?

Question 4. For a wire that has twice the radius of our wire, how much would it stretch in comparison to our wire if the other experimental conditions were the same? The same? Twice? Half? Four times as much?

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Errors: Part I:

Errors: Part II:

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Conclusion:

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Lab 6: Elasticity in Materials Submitted by: Madison Kruse Purpose: Atoms bound together in a material behave like tiny springs. If you recall Hooke's Law, the extension of a spring from equilibrium is linear for small forces: where is the spring constant, is the applied force, and is the change in length of the spring. The spring constant is a material-dependent proportionality constant that tells us how much force is required to stretch the spring: thus a stiff spring has a higher spring constant, and a slinky spring has a lower spring constant Obviously the size and shape of the spring affect how it behaves under force, so if we want to compare different materials independent of their size and shape, we can instead look at their Young's modulus. The Young's modulus and spring constant are related by Where is Young's modulus, is the cross-section area of the material and is the length of the material. To leam about the elasticity of a particular material such as copper, the spring constant and Young's modulus are a good place to start. In this experiment, a copper wire is stretched between a pin vise and a rotary motion sensor (RMS), then increasing amounts of weight are hung from the end of the wire. The tension in the wire causes the wire to elongate which results in a measurable rotation of the rotary motion sensor. Learning Goals for This Lab Understand what factors affect material elongation Gain familiarity with material properties including Young's modulus and spring constant Apparatus: Part I: Computer with PASCO interface and PASCO Capstone software, rotary motion sensor, stand with pin vise, 32 gauge copper wire, 50 g mass hanger, 20 g and 50 g slotted masses, meter stick Procedure: Part I: Data: Part I: 54.0 cm pin vise to top of mass hanger 50 g mass hanger Set Run #1 User Data 2 (units) 20 0.0000 40 3.0000E-5 Position (m) 5.5000E-5 9.0000E-5 100 -1.3500E-4 120 1.5000E-4 0 2.50E-05 4.50E-05 -6.50E-05 -8.50E-05 1.10E-04 1.30E-04 1.70E-04 1.85E-04 100 120 120 160 180 200 220 240 2.15E-04 2.25E-04 -2.35E-04 2.60E-04 -2.75E-04 2.95E-04 3.25E-04 0.0025 0.0025 0.0025 0.0025 380 400 0.0025 Precautions: Part 1: It is a wire so if some disturbance it will swing, so make sure you hold it so it is not swinging violently, then read value Questions: Part II: Ouestion 1 What does the slope of the plot of tension force vs. position represent? Question 2 For the second run, do you notice nonlinear behavior at high tension forces? Does this indicate the material is becoming stiffer or slinkier? Ouestion What does the trend in the graph indicate will happen if you keep adding even more tension to the wire? Question 4 For a wire that has twice the radius of our wire, how much would it stretch in comparison to our wire if the other experimental conditions were the same? The same? Twice? Half? Four times as much? Errors: Part I: Errors: Part II: Conclusion:

Answer 1

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