What is the mass of a 2 m length of Schedule 40 pipe with an outside diameter of 101.6 mm?

To determine the mass of a 2 m length of Schedule 40 pipe with an outside diameter of 101.6 mm, we need to consider the materials and dimensions of the pipe. Schedule 40 pipes, commonly made of materials like steel or PVC, have specific wall thicknesses that affect their overall mass.

The outside diameter provided is 101.6 mm. For Schedule 40 steel pipe, the wall thickness can be found in standard tables that specify dimensions according to pipe size. For a pipe of this diameter, the wall thickness is typically around 5.54 mm, which gives an inside diameter of approximately 90.52 mm.

First, we calculate the volume of the pipe using the formula for the volume of a cylinder, which is the difference between the outer cylinder and the inner cylinder:

1. Calculate the volume of the outer cylinder:

• Outer radius ( R = 101.6 , \text{mm} / 2 = 50.8 , \text{mm} )

• Length ( L = 2000 , \text{mm} )

• Volume of the outer cylinder ( V_{outer} = \pi R^2 L = \pi (50.