Identify the terminal velocity-hydrodynamic mass


Solve the following problem:

Q: Consider a steel sphere (SG = 7.85) of diameter 2 cm, dropped from rest in water at 20°C. Assume a constant drag coefficient CD = 0.47. Accounting for the sphere's hydrodynamic mass, estimate

(a) its terminal velocity; and

(b) the time to reach 99% of terminal velocity, compare these to the results when hydrodynamic mass is neglected, Vterminal ˜ 1.95 m/s and t99% ˜ 0.605 s, and discuss.

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Mechanical Engineering: Identify the terminal velocity-hydrodynamic mass
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