Concept explainers
As noted in Prob. 1.3, drag is more accurately represented as depending on the square of velocity. A more fundamental representation of the drag force, which assumes turbulent conditions (i.e., a high Reynolds number), can be formulated as
where
(a) Write the pair of differential equations for velocity and position(see Prob. 1.18) to describe the vertical motion of a sphere with diameter
(b) Use Euler's method with a step size of
(c) Develop a plot of your results (i.e., y and v versus t) and use it to graphically estimate when the sphere would hit the ground.
(d) Compute the value for the bulk second-order drag coefficient
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