Show work At 30 degree C Jin aluminum ring has an inner diameter of 2 cm and a b

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At 30 degree C Jin aluminum ring has an inner diameter of 2 cm and a brass rod has a diameter of 2.03 cm. If the temperature coefficient of expansion for brass is 1.9 times 10-5 (degree C)-1 and the temperature coefficient of expansion for aluminum is 2.4 times 10-5 (degree C)-1, to what temperature must the ring be heated so that it will just slip over the rod? Answer in units of degree C To what temperature must both be heated so that the ring just slips over the rod? Answer in units of degree C A bridge is made with segments of concrete 62 m long (at the original temperature). If the linear expansion coefficient is 1.2 times 10-5 (degree C)-1 how much spacing is needed to allow for expansion For an increase in temperature of 47 degree F? Answer in units of cm

Explanation / Answer

2.03 = 2*(1+2.4*10^-5*(t-30))

t = 655

2) 2*(1+2.4*10^-5*(t-30)) = 2.03*(1+1.9*10^-5*(t-30))

t= 3030

2)

dL = L*alfa*dt = 62*1.2*10^-5*(5/9)*47 = 1.9427cm

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