A hole in an aluminum plate has a diameter of 1.178 cm at

Step 1 of 5

(a)

Here we need to calculate the new diameter \(\left(d^{1}\right)\) of the hole in an aluminum plate when the temperature of the plate is increased from \(T_{i}=23^{\circ} C\) to \(T_{f}=199^{\circ} C\) and if the initial diameter of the hole is \(d=1.178 \mathrm{~cm}\).

Given data,

Initial temperature, \(T_{i}=23^{\circ} C\)

Initial diameter, \(d_{o}=1.178 \mathrm{~cm}\)

Final temperature, \(T_{f}=199^{\circ} \mathrm{C}\)

Coefficient of linear expansion of aluminum, \(\alpha=24 \times 10^{-6} K^{-1}\)

To find,

Final diameter, \(d^{1}=?\)