Question

The bigger the pipe the more water it can carry. Increase the pipe size increase the carrying capacity. For a double in pipe size you increase its carrying capacity 4 fold.

True or False

Answer 1

The statement is true; doubling the diameter of a pipe increases its carrying capacity fourfold because the cross-sectional area increases by a factor of four.

Step-by-step explanation:

The statement that a doubling in pipe size increases its carrying capacity fourfold is true. This is because the carrying capacity of a pipe is determined by its cross-sectional area rather than its diameter alone. When you double the diameter of a pipe, the radius also doubles, and since the area of a circle is πr² (where r is the radius), the new area is four times the original area. Therefore, a pipe with twice the diameter has four times the cross-sectional area, allowing it to carry four times the volume of fluid assuming other factors remain constant. This observation is important for understanding fluid dynamics and the principles of conservation of mass in a fluid system, which state that the mass entering a cross-sectional area must be equal to the mass that leaves that area.