Fluid/Stream Que work shown need guidance

In summary: V)=0In summary, the conversation discusses the use of kinematics equations to solve for the range and maximum height of a water stream coming from a hole in a can filled with water. The calculations involve finding the vertical and horizontal velocities, using kinematics equations and the principles of conservation of mass. The final answer for the maximum height is 19.82 cm, and the same velocity is used to calculate the range of the stream. The Lagrangian concept can also be used in these types of problems.
  • #1

Homework Statement

A can is filled with water to a depth of 37cm. A hole 12 cm above the obttom of the can produces a stream that is directed at a 34 degree angle ave the horizontal. Find the range and max height of this stream.

Homework Equations

by kinetcs

The Attempt at a Solution


=sqrt 2x9.81x (0.37m-0.12m)
= 2.21m/s

using the angles to get the vertical velocity: 2.21m/sxsin34=1.26m/s

I then use the eqn vf^2=vi^2+2ad where a=g
ultimately getting 7.8cm which I add to the 12cm to get approx 20cm as max height

as for the range, am i able to use the same velocity except with the x-component velocity?

Anyways, I'm slightly confused now. Thanks for any help!
Last edited:
Physics news on Phys.org
  • #2
jen333: Generally always maintain four significant digits throughout all your intermediate calculations, then round only the final answer to three significant digits. Your stream maximum height looks correct, y2 = 19.82 cm. You are doing quite well, so far, except for a minor typographic mistake; the stream initial vertical velocity, neglecting exit minor head loss, would be v1y = v1*sin(theta) = (2.214 m/s)sin(34 deg) = 1.238 m/s. Yes, you would use the same stream initial velocity, v1, to compute the stream horizontal velocity, vx. Next, use one of your kinematics equations to compute the stream final vertical velocity, v3y, when the stream hits the ground. Hopefully this will get you started. Continue using the kinematics equations to solve the problem.
  • #3
The x component of the velocity is already there: the x component is constante Vx=Vo*cos(angle), and it eqaution of the motion can be found easily: X=Vx(t)+Vo.
in terms of stream function you can use dy/dx=Vy/Vx
  • #4
Also in this kind of problems you can use the Lagrangain concept, you don't need the Eulerian concept. but for the mass flow rate and so on you, need to use the principe of the conservation of mass.the continuity equation
  • #5

Great job on your attempt at solving this problem! Your approach using the kinematics equations is correct. To answer your question about the range, yes, you can use the same velocity but with the x-component. This is because the horizontal motion of the stream is unaffected by the vertical motion.

To find the range, you can use the equation x = v*t, where x is the range, v is the horizontal velocity, and t is the time. To find the time, you can use the equation y = vi*t + 1/2*a*t^2, where y is the vertical displacement (in this case, the height of the can), vi is the initial vertical velocity, and a is the acceleration due to gravity. Solving for t and substituting it into the first equation will give you the range.

Remember to convert your units to be consistent (i.e. convert meters to centimeters for the final answer). Keep up the good work!

Related to Fluid/Stream Que work shown need guidance

1. What is fluid/stream queue work?

Fluid/stream queue work refers to the study and analysis of fluids in motion, specifically the behavior of fluids as they flow through a system or channel. This can include the study of fluid dynamics, hydrodynamics, and fluid mechanics.

2. Why is the study of fluid/stream queue work important?

The study of fluid/stream queue work is important because it has many practical applications in fields such as engineering, physics, and environmental science. It helps us understand the behavior of fluids in various systems, which is crucial for designing and improving technologies such as pumps, turbines, and pipelines.

3. What are some common techniques used in fluid/stream queue work?

Some common techniques used in fluid/stream queue work include experimental methods, such as flow visualization and pressure measurement, as well as computational methods, such as numerical simulations and mathematical modeling. These techniques help us study and analyze the complex behavior of fluids in motion.

4. What are some real-world examples of fluid/stream queue work?

There are many real-world examples of fluid/stream queue work, such as the study of air flow around airplanes, the design of water treatment systems, and the analysis of blood flow in the human body. Other examples include the study of ocean currents, the behavior of rivers and streams, and the flow of gases in industrial processes.

5. How can I get started with fluid/stream queue work?

If you are interested in learning more about fluid/stream queue work, you can start by taking courses in fluid mechanics, physics, and mathematics. You can also read books and research papers on the subject, and participate in hands-on experiments and projects to gain practical experience. Additionally, networking with professionals in the field and attending conferences and workshops can help you further your knowledge and skills in this area.