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(II) $(a)$ Determine the total force and the absolute pressure on the bottom of a swimming pool 28.0 $\mathrm{m}$ by 8.5 $\mathrm{m}$ whose uniform depth is 1.8 $\mathrm{m} .(b)$ What will be the pressure against the side of the pool near the bottom?

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a) $2.8 \times 10^{7} \mathrm{N}$b) $1.2 \times 10^{5} \mathrm{N} / \mathrm{m}^{2}$

Physics 101 Mechanics

Chapter 13

Fluids

Fluid Mechanics

University of Michigan - Ann Arbor

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.

02:57

($a$) Determine the total …

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(II) $(a)$ What are the to…

04:08

A rectangular swimming poo…

01:06

Find the pressure at the b…

01:29

Consider a rectangular swi…

01:31

A $3.0-\mathrm{m}$ -deep s…

02:05

A swimming pool is 5.0 m l…

03:01

Swimming Pool A swimming P…

so for party, we want to find the absolute pressure. This is given by equation 13 6 b and we can say that the absolute pressure is equaling the atmospheric pressure plus the gauge pressure equaling the density time, the acceleration due to gravity times the height H. So this would be equaling 1.13 times 10 to the fifth Cass cows plus 1000 kilograms per cubic meter. The density of water multiplied by 9.80 meters per second squared multiplied by 1.8 meters, and we find that the absolute pressure Pete is giving us 1.19 times 10 to the fifth. Moscow's uh Moscow is equaling Newton per square meter. You can use either Ah unit noon per square meter. One noon per square meter is equal in one pascal and so the force is equaling the pressure times The area this would be equaling were around at the very end, so we can use 1.189 times 10 to the Newton per square meter and then this would be multiplied by 28.0 meters, multiplied by 8.5 meters, and we find that the force is equaling 2.8 times 10 to the seventh Newton's. This would be our answer for the force. This would be our answer for the absolute pressure. And then for part B, the pressure against the side of the pool, which is near the bottom, will be. The press will be the same pressure at the bottom. We can say pressure is not directional, so pressure on side of pool will be equal to pressure. Well inside, a pool near bottom will be equal to pressure on bottom. And so here the pressure is again 1.19 times 10 to the fifth Pascal's again, or 1.19 times 10 to the Fifth Newtons per square meter. This would be our answer for part B. That is the end of the solution. Thank you for watching.

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