A metal disk of radius 10 cm has a hole at a distance of 2.5 cm from the center. The size of the hole is 1 cm in diameter. If you heat the disk, what will happen to the size of the disk .

Respuesta :

The size of the disc will Increase

The hole will enlarge in proportion to the metal if the disc is homogeneous and isotropic (the same in all directions). This is evident because, since the hole's edge is constructed of metal, the thermal expansion equation dL=LdT holds true for all lengths related to the metal, including the circle of the hole. Additionally, if the diameter of the hole increases, so does its circumference.

The analysis becomes more challenging if your disc has distinct areas formed of various metal kinds or if the metal that makes up your disc has an anisotropic crystal structure, meaning that it expands by different amounts in different directions. But given the total change in size is still an expansion, I believe the hole would become bigger in all scenarios.

Hence ,The size of the disc will Increase

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