Acrylic Square Hollow Tube Weight Calculator, Formula, Acrylic Square Hollow Tube Weight Calculation

Acrylic Square Hollow Tube Weight Calculator:

Enter the values of width, W_(cm), thickness of the tube, T_(cm) and Length, L_(cm) to determine the value of Weight, W_(g).

Acrylic Square Hollow Tube Weight Formula:

Acrylic, also known as polymethyl methacrylate (PMMA), is a thermoplastic that is lighter than glass yet offers similar transparency and better impact resistance. The density of acrylic typically ranges around 1.18 to 1.20 g/cm³, which contributes to its lightweight nature.

The square hollow tube is designed with a square cross-section that has an outer dimension (width) and a thickness, creating a hollow interior. This design optimizes material usage, reducing the weight while maintaining sufficient strength and rigidity.

The weight (or mass) of the tube is directly proportional to the density of the acrylic material and the volume of material used. Density, being mass per unit volume, is a fundamental property that links the mass to the volume.

Weight, W_(g) in grams equals the difference between the square of width, W_(cm) in centimetres and the square of the difference between width, W_(cm) and thickness of the tube, T_(cm) in centimetres all multiplied by Length, L_(cm) in centimetres and density of the acrylic material, d_(g/cm3) in grams per cubic centimetre.

Weight, W_(g) = [ W²_(cm) – (W_(cm)– T_(cm))² ] * L_(cm) * d_(g/cm3)

W_(g) = weight in grams, g.

W_(cm)= width in centimetres, cm.

T_(cm) = thickness of the tube in centimetres, cm.

L_(cm) = length in centimetres, cm.

d_(g/cm3) = density of the acrylic material in grams per cubic centimetre, g/cm³.

Acrylic Square Hollow Tube Weight Calculation:

1.An acrylic square hollow tube has a width of 6 cm, a thickness (T) of 0.8 cm, a length (L) of 150 cm, and a density of acrylic is 1.18 g/cm³. Calculate the weight of the tube.

Given:W_(cm)= 6cm, T_(cm) = 0.8cm, L_(cm) = 150cm, d_(g/cm3) = 1.18g/cm³.

Weight, W_(g) = [ W²_(cm) – (W_(cm)– T_(cm))² ] * L_(cm) * d_(g/cm3)

W_(g) = [6² – (6 – 0.8)²] * 150 * 1.18

W_(g) = 8.96 * 150 *1.18

W_(g) = 1585.92g.

2. An acrylic square hollow tube has a width of 8 cm, a wall thickness (T) of 1.5 cm, and a density of acrylic is 1.19 g/cm³. If the tube weighs 5000 g, calculate the length of the tube.

Given:W_(cm)= 8cm, T_(cm) = 1.5cm, W_(g) = 5000g, d_(g/cm3) = 1.19g/cm³.

Weight, W_(g) = [ W²_(cm) – (W_(cm)– T_(cm))² ] * L_(cm) * d_(g/cm3)

L_(cm) = W_(g) / [ W²_(cm) – (W_(cm)– T_(cm))² ] * d_(g/cm3)

L_(cm) = 5000 / [64 – (42.25)] * 1.19

L_(cm) = 5000 / 25.8825

L_(cm) = 193.2cm.