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Unformatted text preview: 1 For an object of “diameter D”, flinear=bv=βDv fquad = cv2 = (1/2)c0 A ρair v2 Which form of drag dominates most microbiology contexts? A) linear B) quadratic C) ?? For a sphere in air, fquad/flinear≈(1600 s/m2) Dv 2 For an object of “diameter D”, flinear=bv=βD fquad = cv2 = (1/2)c0 A ρair v2 For a sphere in air, fquad/flinear≈(1600 s/m2) Dv Which form of drag dominates most sports events? A) linear B) quadratic C) ?? 3 Where are you now? A) Done with page 1 B) Done with page 2 C) Done with page 3 If you are done with page 3, try these: Like in section IIc, find the terminal velocity of an object of mass m when air drag force is... 1) ... quadratic with respect to speed ( c1 = 0, c2 ≠ 0) 2) ...a combo of both linear and quadratic terms ( c1 ≠ 0, c2 ≠ 0) Finally, if you still have time, find an expression for v(t) from part I. (You sketched this qualitatively in IB). You will need to solve an ODE! 4 An object falling in air satisfies the ODE (from Newton’s 2nd law): The equation has three dimensionful parameters (m, g, b) m d v/ d t =  mg b v a) Use those three dimensionful parameters to create “Natural” scales of mass (M0), length (L0), and time (T0)...
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 Spring '11
 STEVEPOLLOCK
 terminal velocity

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