It turns out that the fluid-mechanical drag coefficienput value and the drag coeffeicient depends on Reynolds number, Re, which is defined:
Re=V*D/v(air)
(Here the kinematic viscosity of air, v(air), is about 21x10^(-6) m^2/sec).
(a.) Re Number values for this problem: We need to get a feel for what actually are typical Re numbers for this problem. So to do this, lets assume:
(i) The dropped ball has a D= 1/10 m, &
(ii) A reasonable range for its mass is 1/10 (kg)With this value doe D and this range for M, create a MATLAB finction which takes the drag coefficient (Cd) as an input value and plots Re(V(t)), versus mass M.
The goal is to find a Cd value in which the computed Reynolds-number range seems consistent, with the value of Cd used to compute the plot.
(iii) Please provide a MatLab function as well as a plot that has a legend expalining whats what and labeled axis'.
(iv) Explain what value of Cd would be your best choice for this problem and why, (there is not "right" answer here; the goal is to expalin the trade-offs of using one value as opposed to another)