diameter pipe with a density of 0.0035 slugs/ft³ and a uniform speed of 696 ft/s. (a) Determine the rate (slugs/s) at which the mass of air in the tank is increasing or decreasing. (b) Determine the average time rate of change of air density within the tank. Compressor 10 ft³/s - 0.00238 slugs/ft³ (a) (b) DM Dt Dp Dt i i Tank volume 20 ft³ 1.2 in. slugs/s slugs/ft³.s 696ft/s 0.0035 slugs/ft³
diameter pipe with a density of 0.0035 slugs/ft³ and a uniform speed of 696 ft/s. (a) Determine the rate (slugs/s) at which the mass of air in the tank is increasing or decreasing. (b) Determine the average time rate of change of air density within the tank. Compressor 10 ft³/s - 0.00238 slugs/ft³ (a) (b) DM Dt Dp Dt i i Tank volume 20 ft³ 1.2 in. slugs/s slugs/ft³.s 696ft/s 0.0035 slugs/ft³
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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![**Problem Description:**
Air at standard conditions enters the compressor shown in the figure at a rate of 10 ft³/s. It exits the tank through a 1.2-inch diameter pipe with a density of 0.0035 slugs/ft³ and a uniform speed of 696 ft/s.
(a) **Mass Flow Rate Calculation:**
Determine the rate (in slugs/s) at which the mass of air in the tank is either increasing or decreasing.
(b) **Density Rate of Change Calculation:**
Determine the average time rate of change of air density within the tank.
---
**Diagram Explanation:**
- **Compressor System:** The system includes a tank with a volume of 20 ft³.
- **Inflow:** Air enters the compressor at a flow rate of 10 ft³/s with a density of 0.00238 slugs/ft³.
- **Outflow:** Air exits through a pipe with a speed of 696 ft/s and a density of 0.0035 slugs/ft³.
- **Pipe Diameter:** The pipe has a diameter of 1.2 inches.
---
**Equations:**
(a) \(\frac{DM}{Dt} = \) [Input field for slugs/s]
(b) \(\frac{D\rho}{Dt} = \) [Input field for slugs/ft³·s]
---
Use these details to complete the calculations for both mass flow rate and density change rate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fece3d40f-e8f0-464a-aada-c18e494e1994%2F131d23ce-5837-425d-8214-bf4559dd8b12%2F8g7bsi_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
Air at standard conditions enters the compressor shown in the figure at a rate of 10 ft³/s. It exits the tank through a 1.2-inch diameter pipe with a density of 0.0035 slugs/ft³ and a uniform speed of 696 ft/s.
(a) **Mass Flow Rate Calculation:**
Determine the rate (in slugs/s) at which the mass of air in the tank is either increasing or decreasing.
(b) **Density Rate of Change Calculation:**
Determine the average time rate of change of air density within the tank.
---
**Diagram Explanation:**
- **Compressor System:** The system includes a tank with a volume of 20 ft³.
- **Inflow:** Air enters the compressor at a flow rate of 10 ft³/s with a density of 0.00238 slugs/ft³.
- **Outflow:** Air exits through a pipe with a speed of 696 ft/s and a density of 0.0035 slugs/ft³.
- **Pipe Diameter:** The pipe has a diameter of 1.2 inches.
---
**Equations:**
(a) \(\frac{DM}{Dt} = \) [Input field for slugs/s]
(b) \(\frac{D\rho}{Dt} = \) [Input field for slugs/ft³·s]
---
Use these details to complete the calculations for both mass flow rate and density change rate.
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