In a machine, an ideal fluid with a density of 0.9*10^3 kg/m^3 and a pressure of 1.3*10^5 Pa flows at a velocity of 6.0 m/s through a level tube with a readius of 0.5 cm. This tube connects to a level tube that has a radius of 1.5 cm. How fast does the water flow in the larger tube?
a. 54 m/s
b. 18 m/s
c. 0.67 m/s
d. 0.33 m/s
An ideal fluid is one that is incompressible and has no viscosity. Ideal fluids do not actually exist, but sometimes it is useful to consider what would happen to an ideal fluid in a particular fluid flow problem in order to simplify the problem.
If it incompressible, then consider the law of mass flow.
Density*velocity*area=constant
or 6m/s*(1/2)^2 *PI=V*(3/2)^2 * PI
solve for Velocity V.
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