How shall I do it
Asked by pukai7229
29th October 2018,
9:42 PM
Answered by Expert
Answer:
Area of the hole in steel plate will expand according to the equation of thermal expansion as given by
A = A0×(1+β×ΔT) .................(1)
where A0 is initial area, A is expanded area, β is area expansion coefficient and ΔT is temperature difference.
we have the area expansion coefficient data, β = 2 α = 2×1.1×10-5 C-1
Since Area of hole is proportioanl to diameter d of hole, we write eqn.(1) as, d2 = d02 × ( 1 + β×ΔT ) ..............(2)
substituting the respective values in eqn.(2), we get, 1 = (0.9997)2 × ( 1 + 2.2×10-5 ×ΔT ) ..................(3)
From eqn.(3) we get ΔT = 27.3 °C
hence the steel plate is to be heated to 30+27.3 = 57.3 °C
Answered by Expert
30th October 2018,
1:35 AM
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