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Density

# Density - PHY 122 LAB Density(linearized plot Introduction...

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PHY 122 LAB : Density (linearized plot) Introduction In this lab we will determine the density of clay by weighing a set of hand-made spheres. We fit a model function for mass vs. diameter using a linearized plot and a log-log plot. The aim is to understand how scientists "model" physical effects. This means that they simple guess what the formula describing some effect might be, then try to fit measurements to this formula. Here we assume you can "guess" (or derive) how density depends on diameter and mass for a simple case. A famous example of modeling is the Wright brothers wind-tunnel experiments in 1904, to find the best shape for an aircraft wing. They modeled the dependence of lift force on toy wings in a wind-tunnel, on wing area, wind speed and angle of attack, then fitted measurements to a guessed formula which was dimensionally correct. In this way they discovered an aerodynamic law, still used today. This says that the lift force goes as the square of the speed, so aircraft going twice as fast get four times as much lift force, and hence don't need such big wings. Note that "theory" (eg Einstein's) is different from "modeling". Theory depends on

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Density - PHY 122 LAB Density(linearized plot Introduction...

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