Fluid dynamics is the study of the motion of liquids, gases and plasmas. Flow is

Question

Fluid dynamics is the study of the motion of liquids, gases and plasmas. Flow is dependent on the intrinsic properties of the matter itself, such as compressibility, viscosity and density. Example systems are a liquid flowing through a pipe or capillary, air moving across an aeroplane wing, and plasma motion in a stars magnetic field. An elevator is created by using a hose hanging from the top of a 10 m building. The hose is diverted into 4 jets at the corners of a platform pointing downwards. The nozzles at the exits are 5 cm in diameter and have a maximum velocity of 15 m/s. The platform and person ontop have a combined mass of 150 kg. Determine the minimum water jet velocity needed to raise the system?

Explanation / Answer

The minimum velocity is given as

v = (2gh)^1/2

where g = 9.8 m/s^2 and h = 10 m

Substituting the values, we get,

v = (2*9.81*10)^1/2 = 14m/s (answer)

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