A fan powered by a 0.5 hp motor and delivers air at a rate of 85 m3 / min. Calculate the speed of the air moving by the fan if the air has a density of 1.18 kg / m3. Help me please

Respuesta :

s the following graph a bipartite graph or not, and why?

The speed of the air is required.

The speed of the air is 21.12 m/s.

[tex]\rho[/tex] = Density = [tex]1.18\ \text{kg/m}^3[/tex]

P = Power = 0.5 hp

V = Volume flow rate = [tex]85\ \text{m}^3/\text{min}[/tex]

Mass flow rate is given by

[tex]m=\rho V\\\Rightarrow m=1.18\times \dfrac{85}{60}\\\Rightarrow m=1.672\ \text{kg/s}[/tex]

From the energy balance equations velocity is given by

[tex]v=\sqrt{\dfrac{2P}{m}}\\\Rightarrow v=\sqrt{\dfrac{2\times 0.5\times 745.7}{1.672}}\\\Rightarrow v=21.12\ \text{m/s}[/tex]

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