catartPerchanvados catartPerchanvados
  • 08-01-2017
  • Physics
contestada

What force must be applied to each end of the rod to prevent it from contracting when it is cooled from 120 ∘c to 10 ∘c?

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MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 20-01-2017
linear thermal expansion coef brass 19e-6 /K 
∆L = αL∆T = (19e-6)(1.85)(110) = 0.00387 meter or 3.87 mm 

Second part involves linear elasticity. 
for brass, young's modulus is 15e6 psi or 100 GPa 
cross-sectional area of rod is π(0.008)² = 0.0002 m² 
F = EA∆L/L 
F = (100e9)(0.0002)(0.00387) / (1.85) 
F = 42000 or 42 kN 
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