Copper Round Hollow Tube Weight Calculator:
Enter the values of outer radii, R(cm), inner radii, r(cm) and tube’s length, L(cm) to determine the value of weight of an copper round hollow tube, W(g).
Copper Round Hollow Tube Weight Formula:
Copper, known for its excellent thermal and electrical conductivity, also exhibits a high density, making it a relatively heavy metal compared to other commonly used materials. A hollow tube design allows for a balance between strength and reduced weight, as it removes unnecessary material from the centre where it contributes least to the structural integrity.
The weight of the tube is determined by its outer and inner radii, length, and the density of copper.The density of copper remains constant, so the weight increases with larger dimensions.
The outer radius directly affects the overall diameter, contributing significantly to the volume, while the inner radius defines the thickness of the tube walls, impacting how much material is removed. Length is a linear factor, directly proportional to the weight, making longer tubes heavier.
The weight of an copper round hollow tube, W(g) in grams is calculated by multiplying the difference between the squares of the outer radii, R(cm) in centimetres and inner radii, r(cm) in centimetres by pi, then multiplying by the tube’s length, L(cm) in centimetres and finally by the material’s density, d(g/cm3) in grams per cubic centimetres.
Weight of an copper round hollow tube, W(g) = 3.14 * (R2(cm) – r2(cm)) * L(cm) * d(g/cm3)
W(g) = weight of an copper round hollow tube in grams, g.
R(cm) = outer radii in centimetres, cm.
r(cm) = inner radii in centimetres, cm.
L(cm) = length in centimetres, cm.
d(g/cm3) = density in grams per cubic centimetres, g/cm3.
Copper Round Hollow Tube Weight Calculation:
1.A copper round hollow tube has an outer radius of 4 cm, an inner radius of 3 cm, a length of 150 cm, and the density of copper is 8.96 g/cm3. Calculate the weight of the tube.
Given: R(cm) = 4cm, r(cm) = 3cm, L(cm) = 150cm, d(g/cm3) = 8.96 g/cm3.
Weight of an copper round hollow tube, W(g) = 3.14 * (R2(cm) – r2(cm)) * L(cm) * d(g/cm3)
W(g) = 3.14 * (42 – 32) * 150 * 8.96
W(g) = 3.14 * 7 * 150 * 8.96
W(g) = 29541g.
2. A copper round hollow tube with an outer radius of 5 cm, an inner radius of 4 cm, and a density of 8.96 g/cm3 weighs 5000 grams. Find the length of the tube.
Given: R(cm) = 5cm, r(cm) = 4cm, W(g) = 5000g, d(g/cm3) = 8.96 g/cm3.
Weight of an copper round hollow tube, W(g) = 3.14 * (R2(cm) – r2(cm)) * L(cm) * d(g/cm3)
L(cm) = W(g) / 3.14 * (R2(cm) – r2(cm)) * d(g/cm3)
L(cm) = 5000 / 3.14 * (52 – 42) * 8.96
L(cm) = 19.85cm.