Answered: Air with a density of 0.45 kg/m3 enters…

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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Question

Air with a density of 0.45 kg/m³ enters an experimental jet engine at a rate of 175 m/s. The inlet area of the engine is 7.0 ft². After fuel is burned, the air and combustion byproducts leave the engine with a velocity of 695 m/s through an outlet area of 6.0 ft². What is the average density of the gas exiting the engine? Express your answer in kg/m³, slugs/ft³, and lbm/ft³.

Expert Solution

Step 1

Given:

at inlet,

velocity = 175 m/s

density = 0.45 kg/m³

area = 7 ft²

At exit,

velocity = 695 m/s

area = 6 ft²

To find:

density at exit

Conversion formula:

1ft² = 0.093 m²

1 kg/m³ = 0.00194 slug/ft³

1 kg/m³ = 0.0624 lbm/ft³

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