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Find the gauge pressure in pascals inside a soap bubble 7.00 $\mathrm{cm}$ in diameter. The surface tension of this soap is 25.0 dynes/cm.

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Physics 101 Mechanics

Chapter 13

Fluid Mechanics

Temperature and Heat

Rutgers, The State University of New Jersey

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.

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Find the gauge pressure in…

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What is the excess pressur…

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What is the gauge pressure…

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When two soap bubbles touc…

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The excess pressure inside…

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What is the pressure, in p…

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In a $47-\mathrm{cm}$ -tal…

in this problem were asked to find the gauge pressure in past scales of a soap bubble with a diameter of seven centimeters were also given a surface tension of 25 Dynes per centimeter. So in order to solve this problem, we need to know that our gauge pressure is going to be equal 24 times our surface tension divided by are the radius of our bubble and that specifically for a bubble. It has two surfaces as opposed to a drop of liquid on Lee with one surface. The first thing we're going to need to do is we're going to need to put our given information into standard units into, um s I units. So with our 25 Dynes per centimeter to Goto s I units, we need to know that one dime per centimeter is equal to 10 to the negative three new ins per meter which is in S I units. So we take our provided quantity. When we put it into us, I that would be 25 times 10 to the negative three new ends per meter. So that's going to be the surface tension will plug into our equation. We also need to figure out what our radius is now. We were given a diameter of seven centimeters, which means that our radius would be half that 3.5 centimeters and we need to put that into S I units as well. We need to put that in two meters. 3.5 centimeters is 0.35 meters and that's going to be the radius that we will substitute into our gauge pressure equation. So let's substitute in our values our surface tension multiplied by four on the numerator and our radius and meters in the denominator. And that gives us a final answer in Pascal's of 2.857 Pascal's now all of our values. In the setup of this problem, they were all reported to three sig figs. We were told it was 7.0 centimeters and 25.0, so I can round this to three sig figs. If I would like a CZ, well, that would be 2.86 Pascal's

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