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A small circular hole 6.00 $\mathrm{mm}$ in diameter is cut in the side of a large water tank, 14.0 $\mathrm{m}$ below the water level in the tank. The top of the tank is open to the air. Find the speed at which the water shoots out of the tank.

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$v=16.565 \mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 13

Fluid Mechanics

Temperature and Heat

Simon Fraser University

Hope College

University of Winnipeg

McMaster University

Lectures

03:45

In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids.

09:49

A fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases and plasmas. Fluids display properties such as flow, pressure, and tension, which can be described with a fluid model. For example, liquids form a surface which exerts a force on other objects in contact with it, and is the basis for the forces of capillarity and cohesion. Fluids are a continuum (or "continuous" in some sense) which means that they cannot be strictly separated into separate pieces. However, there are theoretical limits to the divisibility of fluids. Fluids are in contrast to solids, which are able to sustain a shear stress with no tendency to continue deforming.

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Okay, so in this problem, we have a water tank. So let's try to draw the tank in here. Do you think is open? So we can say that the water is in here and on one of the sides of the tank, we make a small hole. So with the hole in here, so the water can flow. Okay, so let's see, uh, this is the distance below the surface off the water that's called these H, and that is equal 14 meters. And and this problem just want to know what should be the speed off the water when he shoots out of it. Think so. To answer this, we just need to remember about the story chalice teary in which say's that they speed off the E flex off water in this case is going to be equal. They square hurt off to G age, where age is the distance below the surface of the water where the water is in the hallways. So with this equation, we can calculate now the speed that the problem, once it's always going to be V equals, describe bridge off two times nine point eight, which is the gravitational acceleration uh, times 14. All this in the square roots. So the if, look, speech is going to be equal 16 0.6 meters 1st 2nd and that's the final answer to this problem. Thanks. For what?

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