why does an ideal fluid move faster through a pipe with decreasing diameter?
a. the pressure within the fluid increases
b. the pressure within the fluid decreases
c. the pipe exerts more pressure on the fluid
d. the fluid moves downhill
C?
the pressure in a fluid is related to the speed of flow
Lord no. The fluid increases its speed because the constriction at the pipe inlet rasises pressure, so the pressure difference between the inlet and outlet is greater. Force makes things move, and if they are moving faster, it takes greater force, hence, greater pressure.
The correct answer is a. the pressure within the fluid increases.
To understand why, let's consider Bernoulli's principle, which states that in a steady flow of an ideal fluid, the total energy of the fluid is conserved. This principle relates the pressure, velocity, and height of the fluid.
When a fluid flows through a pipe, it experiences a change in velocity and pressure as the pipe diameter changes. According to the principle, as the diameter of the pipe decreases, the fluid's velocity increases.
Why does this happen? According to the principle, in order for the total energy of the fluid to remain constant, if the velocity increases, the pressure must decrease. This decrease in pressure creates a pressure difference, and the fluid accelerates to equalize it.
So, contrary to what might be expected, the fluid moves faster through a pipe with decreasing diameter because the pressure within the fluid increases as a result of the reduction in cross-sectional area. This increase in pressure drives the flow of the fluid.