Area to Weight Calculator, Formula, Area to Weight Calculation

Area to Weight Calculator:

Enter the values of area, A_(cm2) and characteristic density, CD_(g/cm2) to determine the value of Weight, W_(g).

Area to Weight Formula:

The physics of area to weight involves understanding how the weight of an object is related to its surface area and the material’s density. Weight is the force exerted by gravity on an object, and it is a function of the object’s mass.

When dealing with thin or flat objects, such as sheets, plates, or membranes, the mass and therefore the weight can be directly calculated from the object’s surface area if the material’s density is known.

Density is a measure of mass per unit volume, but in the context of thin objects, the concept of characteristic density is used, which represents the mass per unit area. This allows the weight to be calculated by multiplying the area of the object by this characteristic density.

The relationship between area and weight is linear, meaning that as the area increases, the weight increases proportionally, assuming the density remains constant.

Weight, W_(g) in grams is calculated by the product of area, A_(cm2) in centimetre square and characteristic density, CD_(g/cm2) in grams per centimetre square.

Weight, W_(g) = A_(cm2) * CD_(g/cm2)

W_(g) = weight in grams, g.

A_(cm2) = area in centimetre square, cm².

CD_(g/cm2) = characteristic density in grams per centimetre square, g/cm².

Area to Weight Calculation:

1. A steel plate has an area of 200 cm², and the characteristic density of the steel is 0.5 g/cm². Calculate the weight of the steel plate.

Given: A_(cm2) = 200cm², CD_(g/cm2) = 0.5g/cm².

Weight, W_(g) = A_(cm2) * CD_(g/cm2)

W_(g) = 200 * 0.5

W_(g) = 100g.

2. A copper sheet weighs 240 grams, and the characteristic density of copper is 0.8 g/cm². Calculate the area of the copper sheet.

Given: W_(g) = 240g, CD_(g/cm2) = 0.8g/cm².

Weight, W_(g) = A_(cm2) * CD_(g/cm2)

A_(cm2) = W_(g) / CD_(g/cm2)

A_(cm2) = 240 / 0.8

A_(cm2) = 300cm².