If a cylinder of diameter 1.0 cm at 30°C is to be
solid into a hole of diameter 0.9997 cm in a steel
plate at the same temperature, then minimum
required rise in the temperature of the plate is :
(Coefficient of linear expansion of steel
=
solid into a hole of diameter 0.9997 cm in a steel
plate at the same temperature, then minimum
required rise in the temperature of the plate is :
(Coefficient of linear expansion of steel
=
Asked by kesavasanjeev
12th August 2019,
12:40 PM
Answered by Expert
Answer:
Let DT be the final diameter of the hole in steel plate after heating, Do be the initial diameter,
α is the linear thermal expansion coefficient of steel and ΔT is the increase in temperature, then we have
DT = Do ( 1 + α ΔT ) or ΔT = ( DT - Do )/ ( α Do) = 3×10-4 / ( 13×10-6 × 0.9997 ) = 23°C
Required rise in temperature is 23° C
Answered by Expert
12th August 2019,
2:01 PM
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