Physics I Lab Manual 2011 89

Physics I Lab - we learn to compute numerical solutions to Newton’s equation of motion that include the effect of air resistance Many real-world

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Experiment 13 Numerical Analysis Objective To examine the accuracy of numerical solutions to analytical expressions and to determine the effect of a velocity-dependent drag force on a moving object by using computer-assisted numerical methods to solve Newtons equation of motion. Concepts Projectile kinematics homework problems instruct you to neglect air resistance because the velocity-dependent drag force invalidates the simple constant-acceleration solution. Fortu- nately nature ignores this hint; otherwise raindrops would hit with lethal impact. This week
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Unformatted text preview: we learn to compute numerical solutions to Newton’s equation of motion that include the effect of air resistance. Many real-world engineering and science calculations are set up this way. For a moving spherical object, such as a baseball, the forces acting on the object are gravity and a drag force due to air resistance. The drag force has two main characteristics; it opposes the direction of motion and it increases in magnitude with increasing velocity. We shall assume the drag force is proportional to the velocity squared. 79...
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This note was uploaded on 01/27/2012 for the course PHY 2048l taught by Professor Staff during the Fall '08 term at University of Central Florida.

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