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Suppose you have a coffee mug with a circular cross section and vertical sides (uniform radius). What is its inside radius if it holds 375 $\mathrm{g}$ of coffee when filled to a depth of 7.50 $\mathrm{cm} ?$ Assume coffee has the same density as water.

$r=4.0 \mathrm{cm}$

Physics 101 Mechanics

Chapter 11

Fluid Statics

Fluid Mechanics

University of Washington

Hope College

University of Sheffield

University of Winnipeg

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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we're told we have a coffee mug with the circular cross section, and vertical sides says that it has a uniform radius. Wanna know what is the inside greatest if Cole if it holds 375 grams of coffee when filled toe adept of 7.5 centimeters and to assume that coffee has the same density of water well, water has the density of one ground per cubic centimeter. We're told we have a mass of 375 grams, so the volume is simply the mass divided by the density, and that gives us 375 cubic centimeters. We know the volume of the fluid in the cup is the cross is the still under occupied by the coffee. So that's pi r squared times H where h is 7.5 centimeters and we know that must be 375 cubic centimeter. So we console for our to get roughly four centimeters

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