mar03 - MIT OpenCourseWare http/ocw.mit.edu 6.055J 2.038J...

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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 6.055J / 2.038J The Art of Approximation in Science and Engineering Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . s r r r |{z} 34 6.055 / Art of approximation F drag . v ∼ ρ A Since the air density ρ is the same for the large and small cone, the relation simplifies to F drag . v ∝ A The cross-sectional areas are easy to measure with a ruler, and the ratio between the small- and large-cone terminal velocities is even easier. The experiment is set up to make the drag force easy to measure: Since the cones fall at their respective terminal velocities, the drag force equals the weight. So W . v ∝ A Each cone’s weight is proportional to its cross-sectional area, because they are geometri- cally similar and made out of the same piece of paper. With W ∝ A , the terminal velocity becomes A v ∝ A = A 0 ....
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This note was uploaded on 02/24/2012 for the course MECHANICAL 6.055J taught by Professor Sanjoymahajan during the Spring '08 term at MIT.

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mar03 - MIT OpenCourseWare http/ocw.mit.edu 6.055J 2.038J...

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