Water enters a fountain through a pipe with a cross-sectional area A₁ at a flowrate Q. The pressure in the inlet pipe is p₁. The water then leaves through a nozzle with a cross- sectional area A₂ and at an angle 0, as shown in Figure Q5. Both the inlet and the nozzle are at a height h₂, and the jet reaches a maximum height h3. You may assume that viscosity is negligible. a) Find the horizontal force on the block b) What is the horizontal-component (u₂), vertical component (v₂) and magnitude (V₂) of the velocity of the jet as it leaves the nozzle? c) What is the maximum height of the jet? You may assume that the horiztonal component of velocity is the same at every point in the jet.

Water enters a fountain through a pipe with a cross-sectional area A₁ at a flowrate Q. The pressure in the inlet pipe is p₁. The water then leaves through a nozzle with a cross- sectional area A₂ and at an angle 0, as shown in Figure Q5. Both the inlet and the nozzle are at a height h₂, and the jet reaches a maximum height h3. You may assume that viscosity is negligible. a) Find the horizontal force on the block b) What is the horizontal-component (u₂), vertical component (v₂) and magnitude (V₂) of the velocity of the jet as it leaves the nozzle? c) What is the maximum height of the jet? You may assume that the horiztonal component of velocity is the same at every point in the jet.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

.....

Water enters a fountain through a pipe with a cross-sectional area A₁ at a flowrate Q. The
pressure in the inlet pipe is p₁. The water then leaves through a nozzle with a cross-
sectional area A₂ and at an angle 0, as shown in Figure Q5. Both the inlet and the nozzle
are at a height h₂, and the jet reaches a maximum height h3.
You may assume that viscosity is negligible.
a) Find the horizontal force on the block
b) What is the horizontal-component (u₂), vertical component (v₂) and magnitude (V₂)
of the velocity of the jet as it leaves the nozzle?
c) What is the maximum height of the jet? You may assume that the horiztonal
component of velocity is the same at every point in the jet.
o↑
P₁
A₁
A₂
0
h₂
h3
Figure Q5: Jet emitting from a fountain.

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