Question

20 mm. 6. A disk-shaped part is to be cast out of aluminum. The diameter of the disk = 500 mm and its thickness If the mold constant 2.0 sec/mm² in Chvorinov's rule, how long will it take the casting to solidify? 7. In casting experiments performed using a certain alloy and type of sand mold, it took 155 sec for a cube-shaped casting to solidify. The cube was 50 mm on a side. (a) Determine the value of the mold constant in Chvorinov's rule. (b) If the same alloy and mold type were used, find the total solidification time for a cylindrical casting in which the diameter mm and length = 50 mm.

Answer 1

To calculate the side length of a hollow cube made of aluminum foil with a known mass of 100 grams and surface density of 15 g/cm², we find the total surface area of the foil mass and then determine the area of one face by dividing by 6 (since a cube has 6 faces).

Step-by-step explanation:

Calculating the Side Length of a Hollow Cube Made of Aluminum Foil

To determine the side length of a hollow cube made of aluminum foil with a surface density of 15 g/cm² and a mass of 100 grams, we must first calculate the total surface area that 100 grams of this foil would cover.

Given that the surface density is 15 g/cm², we can divide the total mass of the cube by the surface density:

Total surface area = Mass / Surface density

Total surface area = 100 g / 15 g/cm² = 6.6667 cm²

Since a cube has 6 faces, we can then divide the total surface area by 6 to find the area of one face:

Area of one face = Total surface area / 6

Area of one face = 6.6667 cm² / 6

Area of one face ≈ 1.1111 cm²

Now, we find the side length (l) by taking the square root of the area of one face:

l = √Area of one face

l = √1.1111 cm² ≈ 1.05 cm

So, the side length of the cube is approximately 1.05 cm, which corresponds to option a.