The ducted fan unit shown in the figure has mass m = 100 kg and is supported in the vertical position on its flange at A. The unit draws in air with a density p = 1.200 kg/m³ and a velocity V₁ = 5 m/s through an inlet with diameter D₁ = 1.00 m. It discharges air through two outlets at the bottom of the fan. The mass flow rate through each outlet is 1/2 of the entering mass flow rate, and the velocity at each outlet is V₂ V3 = 15 m/s. Both inlet and outlet pressures are atmospheric.
The ducted fan unit shown in the figure has mass m = 100 kg and is supported in the vertical position on its flange at A. The unit draws in air with a density p = 1.200 kg/m³ and a velocity V₁ = 5 m/s through an inlet with diameter D₁ = 1.00 m. It discharges air through two outlets at the bottom of the fan. The mass flow rate through each outlet is 1/2 of the entering mass flow rate, and the velocity at each outlet is V₂ V3 = 15 m/s. Both inlet and outlet pressures are atmospheric.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Problem 9.3
For Problem 5.30 in the text (Chapter 5 Problems start on page 5-56 of the text) - only do the
following for this problem:
a. Draw a system diagram appropriate for determining the mass flow rates at the
inlets and outlets.
b. Draw a Kinetic Diagram and a Free Body Diagram appropriate for solving for the
reaction force at the flange. (The Flange is where the fan is supported at point A
in the diagram.)

Transcribed Image Text:Problem 5.30
The ducted fan unit shown in the figure has mass m
= 100 kg and is supported in the vertical position on
its flange at 4. The unit draws in air with a density
p = 1.200 kg/m³ and a velocity V₁ = 5 m/s through
an inlet with diameter D₁ = 1.00 m. It discharges air
through two outlets at the bottom of the fan. The
mass flow rate through each outlet is 1/2 of the
entering mass flow rate, and the velocity at each
outlet is V₂ V3 = 15 m/s. Both inlet and outlet
pressures are atmospheric.
Determine the vertical force R, in newtons, applied
to the flange of the fan unit by the supports.
D₁ = 1.00 m
V3= 15 m/s
V₁ = 5 m/s
H
0=55° 0= 55°
Fan Blades
V₂ = 15 m/s
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