LAB A 103 - Objective To Determine Youngs Modulus of elasticity of a thin wire by stretching Theory The following equations were used to calculate

LAB A 103 - Objective To Determine Youngs Modulus of...

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Objective: To Determine Young’s Modulus of elasticity of a thin wire by stretching Theory: The following equations were used to calculate necessary values 1. Stress = F/A 2. Strain = ΔL/L 3. Y = Stress/Strain = (F/A)/( ΔL/L) 4. A = [π(d^2)]/4 Experimental Procedure: Please refer to lab manual Results: Data Tables L 1 = 10.72 mm; L= 725 mm; D= .72 mm A = 4.07 * 10 -7 m 2 Table 1 Weight m (kg) Applied Force F= mg (N) Reading of the Micrometer Screw L 2 (mm) ΔL=L 2 -L 1 (mm) Strain ΔL/L Stress F/A (N/m 2 ) 1 9.8 10.79 0.07 0.0000965 2.41*10 7 2 19.6 10.86 0.14 0.000193 4.82*10 7 3 29.4 10.95 0.23 0.000317 7.22*10 7 4 39.2 11.03 0.31 0.000427 9.63*10 7 5 49 11.1 0.38 0.000524 1.20*10 8 6 58.8 11.2 0.48 0.000662 1.44*10 8 7 68.6 11.3 0.58 0.0008 1.69*10 8
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Table 2 Weight m (kg) Applied Force F= mg (N) Reading of the Micrometer Screw L 2 (mm) ΔL=L 2 -L 1 (mm) Strain ΔL/L Stress F/A (N/m 2 ) 7 68.6 11.3 0.58 0.0008 1.69*10 8 6 58.8 11.2 0.48 0.000662 1.44*10 8 5 49 11.1 0.38 0.000524 1.20*10 8 4 39.2 11.03 0.31 0.000427 9.63*10 7 3 29.4 10.96 0.24 0.000331 7.22*10 7 2 19.6 10.86 0.14 0.000193 4.82*10 7 1 9.8 10.77 0.05 0.0000689 2.41*10 7 Calculations: For calculations see attached calculations sheet Discussion and Questions: 1. When the elastic limit is not exceeded, the deformation is recoverable so comparing
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