How many piece if 16mm makes a ton?

Answer 1

To determine how many pieces of 16mm diameter material make up a ton, you need to consider the length of each piece. The weight of a piece of material is determined by its volume, and in this case, it's the volume of a cylinder.

The formula for calculating the weight of a cylindrical object is:

Weight (in kilograms) = Volume (cubic meters) x Density (kg/m³)

For steel, the density is typically around 7.8 grams per cubic centimeter (g/cm³) or 7,800 kilograms per cubic meter (kg/m³).

Let's assume each piece of 16mm diameter material is a cylinder with a length of L meters.

The volume of a cylinder is given by the formula:

Volume = π * (radius^2) * length

The radius of the cylinder with a diameter of 16mm is half of that, which is 8mm or 0.008 meters.

So, the volume of each piece is:

Volume = π * (0.008^2) * L = π * 0.000064 * L = 0.00020106 * L cubic meters

Now, let's calculate how many pieces are needed to make a ton (1,000 kilograms):

1 ton = 1,000 kg

Using the density of steel:

Weight (in kilograms) = Volume (cubic meters) * Density (kg/m³)

1,000 kg = 0.00020106 * L * 7,800 kg/m³

Now, solve for L:

L = (1,000 kg) / (0.00020106 * 7,800 kg/m³) ≈ 6.42 meters

So, each piece of 16mm diameter material, with a length of approximately 6.42 meters, would weigh about 1 ton. Keep in mind that this calculation assumes the material is made of steel with a density of 7,800 kg/m³. If the material is different or the density varies, the length needed to make a ton would change accordingly.