1- A bungee jumper with a mass of 68.1 kg leaps from a stationary hot air balloon. Use Eqes below Fu = -cau² where ca is a proportionality constant called the lumped drag coefficient (kg/m) The net force is the difference between the downward and upward force. dv dt Cd = g -v² - as Air resistance m to compute velocity for the first 12 s of free fall. Also determine the terminal velocity that will be attained for an infinitely long cord (or alternatively, the jumpmaster is having a particularly bad day!). Use a drag coefficient of 0.25 kg/m.

As shown in Figure D, three water reservoirs are connected by three pipes. The diameters in each pipe is 1 ft and the Fanning friction factor in each pipe is 0.02. The effective lengths of each pipe are given in the Figure along with other relevant data. Determine the flow rate into or out of each reservoir as well as the Reynolds number in each pipe. (Hint: Start the computations by assuming that the water flows into reservoir B).

1. An incompressible fluid of kinematic viscosity v = μ/p= 10-4 m²/s flows steadily through a circular pipe of diameter d = 10 cm. The pipe flow is fully developed. Friction Factor If the average velocity V is 2 m/s, is the flow laminar or turbulent? What is the value of the friction factor, f? If the pipe is perfectly smooth on its internal surface and V is 20 m/s, the pipe flow is turbulent (double check yourself). Evaluate its friction factor using the Moody chart below. Repeat (c) by numerically solving the Colebrook formula (using, for example, Matlab). Attach the source code you used. Suppose that the pipe internal surface is rough. Also suppose that increasing V up to 200 m/s yields no change in the value of f found in (a). Determine the relative roughness, e/d, using the Colebrook formula. 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.015 0.01 Laminar Flow 64 Material Concrete, coarse Concrete, new smooth Drawn tubing Glass, Plastic Perspex Iron, cast Sewers, old Steel, mortar…

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A spherical object with a volume of 1 ft' and a specific gravity of 2.80 is found to have a terminal velocity of 10 ft/s in an oil with a density of 58 lbm/ft’. Determine the viscosity of the oil. Note: when the spherical object falls at its terminal velocity, £F = 0. Buoyancy, drag and gravitational forces are acting on the sphere.