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Gnesinka [82]
3 years ago
15

A hanging wire made of an alloy of nickel with diameter 0.19 cm is initially 2.8 m long. When a 59 kg mass is hung from it, the

wire stretches an amount 0.286 cm. A mole of nickel has a mass of 59 grams, and its density is 8.90 g/cm3.
(a) Based on these experimental measurements, what is Young's modulus for this alloy of nickel?
Engineering
1 answer:
Makovka662 [10]3 years ago
4 0

Answer:

Young's modulus for this alloy of nickel is 1.997×10^11 N/m^2

Explanation:

Young's modulus = stress/strain

Stress = Force (F)/Area (A)

F = mg = 59 kg × 9.8 m/s^2 = 578.2 N

A = πd^2/4 = 3.142 × (0.19/100)^2/4 = 2.836×10^-6 m^2

Stress = 578.2/2.836×10^-6 = 2.039×10^8 N/m^2

Strain = extension/length = 2.86×10^-3 m/2.8 m = 1.021×10^-3

Young's modulus = 2.039×10^8/1.021×10^-3 = 1.997×10^11 N/m^2

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A polyethylene rod exactly 10 inches long with a cross-sectional area of 0.04 in2 is used to suspend a weight of 358 lbs-f (poun
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Answer:

Final length of the rod = 13.90 in

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Cross Sectional Area of the polythene rod, A = 0.04 in²

Original length of the polythene rod, l = 10 inches

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\sigma = \frac{Force}{Area} \\\sigma = \frac{358}{0.04} \\\sigma = 8950 psi

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strain = \sigma ( \frac{1}{E} + \frac{t}{\eta} )\\Strain = 8950 ( \frac{1}{25000} + \frac{3600}{10^{9} } )\\Strain = 0.39022

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