## Related questions with answers

Question

The 60-W fan of a central heating system is to circulate air through the ducts. The analysis of the flow shows that the fan needs to raise the pressure of air by 50 Pa to maintain flow. The fan is located in a horizontal flow section whose diameter is 30 cm at both the inlet and the outlet. Determine the highest possible average flow velocity in the duct.

Solution

VerifiedStep 1

1 of 2$\textbf{Givens:}$

$\dot{W}=60\; W$

$\Delta p=50\; Pa$

$D=30\; cm=0.3\; m\;\; \to \;\; A=\frac{\pi D^2}{4}=0.0707\; m^2$

$\textbf{Solution:}$

$\text{Power }(\dot{W})=\dot{m} \frac{\Delta p}{\rho}=\rho A V_{avg}\times \frac{\Delta p}{\rho}=A V_{avg} \Delta p$

So,

$V_{avg,max}=\frac{\dot{W_{max}}}{A \Delta p}=\frac{60}{0.0707\times 50}=\mathbf{17}\; m/s$

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Thermodynamics: An Engineering Approach

8th Edition•ISBN: 9780073398174Michael A. Boles, Yunus A. Cengel3,184 solutions

#### Fundamentals of Electric Circuits

6th Edition•ISBN: 9780078028229 (2 more)Charles Alexander, Matthew Sadiku2,120 solutions

#### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th Edition•ISBN: 9780133942651 (8 more)Randall D. Knight3,508 solutions

#### Advanced Engineering Mathematics

10th Edition•ISBN: 9780470458365 (5 more)Erwin Kreyszig4,134 solutions

## More related questions

1/4

1/7