Calculating Power Needed to Move 1.97M Gallons of Water

[monze5]

does anyone know how i could go about calculating how much power is needed to move 1,972,080 gallons of water at a constant rate of 25mph or 475,200,000 ft/s?...my friend and i are trying to figure out how to draw up a pool of water that would do this and i don't know how i could go about solving that...the dimensions of the pool are 120x110x20 ft ergo giving the gallons of water i stated above. thank you for your time.

 

[Doc Al]

Followups here: https://www.physicsforums.com/showthread.php?t=86188

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[charng]

Calculating the power needed to move 1.97 million gallons of water at a constant rate of 25mph or 475,200,000 ft/s is a complex task that requires a thorough understanding of fluid dynamics and mechanical engineering principles. It would involve considering various factors such as the density of water, the force required to move it, and the efficiency of the system.

To accurately calculate the power needed, you would need to know the specific design and specifications of the pool, including the type of pump or mechanism used to move the water, the length and diameter of the pipes, and the elevation of the pool. You would also need to take into account any friction losses and the energy required to overcome them.

One way to approach this problem would be to use the Bernoulli's principle, which states that the energy of a fluid is constant along a streamline. This principle can be used to calculate the pressure and velocity of the water in the pipes, which can then be used to determine the power needed to maintain a constant flow rate.

Another approach would be to use the Navier-Stokes equation, which describes the motion of fluid particles. This equation takes into account factors such as viscosity, turbulence, and pressure gradients to calculate the force required to move the water at a given rate.

In order to accurately calculate the power needed, it would be best to consult with a professional engineer or use specialized software designed for this purpose. It is also important to consider the safety and sustainability of such a large-scale project, as well as the potential environmental impact.

In conclusion, calculating the power needed to move 1.97 million gallons of water at a constant rate of 25mph is a complex task that requires advanced knowledge and specialized tools. It is important to consult with experts and consider all factors before attempting such a project.