10_1425_web_Lec_25_Hydrostatics

10_1425_web_Lec_25_Hydrostatics - Hydrostatics Physics 1425...

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Hydrostatics Physics 1425 Lecture 25 Michael Fowler, UVa
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Basic Concepts Density Pressure: Pascal’s Principle
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The Crown and the Bathtub Around 250 BC, the king of Syracuse commissioned a new crown ,and gave the goldsmith about 1 kg of gold (size of a D battery). A 1 kg crown was duly delivered, but the king suspected it had silver mixed in (much cheaper!). How could he find out without messing up the crown? He asked his friend Archimedes…
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A Dense Problem Archimedes knew that one kg of solid silver would be almost twice the volume of the one kg of gold . But how do you measure the volume of a crown? The answer came to him in the bathtub … if he filled the tub to the brim, then got in, the water spilled was exactly equal to his own volume ! So, dunk the crown in a bucket filled to the brim—measure the outflow. x One kg gold One kg silver 3 cm
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Density Density is mass per unit volume. Standard notation: ρ = M / V Our units: kg/m 3 , kilograms per cubic meter. Gold: 19,300 kg/m 3 . Silver: 10,500 kg/m 3 . Granite: 2,700 kg/m 3 . Water: 1,000 kg/m 3 . Air: 1.29 kg/m 3 . Helium: 0.179 kg/m 3 .
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Clicker Question Assuming the average student in this class weighs 70 kg, what is the volume of that average student’s body?
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10_1425_web_Lec_25_Hydrostatics - Hydrostatics Physics 1425...

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