Note that historical accounts vary on the total number of antiaircraft searchlights used -- either 130 searchlights ("Scenario l") or 150 searchlights (“Scenario 2"). Let's investigate both in a very basic way. Initial assumptions: - "Heavy" antiaircraft searchlights characteristics: 990 million candelas (each powered by a 24 kW, 8-cylinder searchlight generator). - Each searchlight generator when fully loaded consumes 5 gallons of fuel per hour. The fuel capacity of each generator is unknown -- let's assume 25 gallons (or 5 hours of fuel). 150-cm-Flakscheinwerfer 34 at the Luftwaffenmuseum Berlin-Gatow (photo by Denis Apel). Question 1 a) How much fuel would be consumed (per hour) for "Scenario 1"? (..and how much for 10 hours?) b) How much fuel would be consumed (per hour) for “Scenario 2'? (..and how much for 10 hours?) Conveniently a portable fuel container held slightly more than 5 gallons of fuel. Let's assume that a 'refueling event took 12 minutes from the perspective of a fuel container. This means that it took 12 minutes (roundtrip) to ferry fuel between a 'Refueling Point’ and a searchlight generator, including the time to fill the fuel container, the time to empty the fuel container, and the back-and-forth transit times. So, a single fuel container might possibly support at most 5 well-timed 'refueling events' per hour during steady-state operations (we will risk this assumption for the sake of simplicity). Question 2 Based on Question 1: a) What is the steady-state minimum number of fuel containers needed to sustain "Scenario 1"? b) What is the steady-state minimum number of fuel containers needed to sustain “Scenario 2'? Next let's assume a safety factor of 1.5 to ensure that sufficient fuel containers are available: c) What is the revised minimum number of fuel containers needed to sustain “Scenario 1"? d) What is the revised minimum number of fuel containers needed to sustain “Scenario 2"? Question 3 Assume that 'Refueling Points' could give fuel continuously, meaning one new customer with fuel container could potentially arrive and be serviced every 6 minutes (during steady-state operations): a) What is the minimum number of 'Refueling Points' needed to support “Scenario l"? b) What is the minimum number of 'Refueling Points' needed to support “Scenario 2'?
Note that historical accounts vary on the total number of antiaircraft searchlights used -- either 130 searchlights ("Scenario l") or 150 searchlights (“Scenario 2"). Let's investigate both in a very basic way. Initial assumptions: - "Heavy" antiaircraft searchlights characteristics: 990 million candelas (each powered by a 24 kW, 8-cylinder searchlight generator). - Each searchlight generator when fully loaded consumes 5 gallons of fuel per hour. The fuel capacity of each generator is unknown -- let's assume 25 gallons (or 5 hours of fuel). 150-cm-Flakscheinwerfer 34 at the Luftwaffenmuseum Berlin-Gatow (photo by Denis Apel). Question 1 a) How much fuel would be consumed (per hour) for "Scenario 1"? (..and how much for 10 hours?) b) How much fuel would be consumed (per hour) for “Scenario 2'? (..and how much for 10 hours?) Conveniently a portable fuel container held slightly more than 5 gallons of fuel. Let's assume that a 'refueling event took 12 minutes from the perspective of a fuel container. This means that it took 12 minutes (roundtrip) to ferry fuel between a 'Refueling Point’ and a searchlight generator, including the time to fill the fuel container, the time to empty the fuel container, and the back-and-forth transit times. So, a single fuel container might possibly support at most 5 well-timed 'refueling events' per hour during steady-state operations (we will risk this assumption for the sake of simplicity). Question 2 Based on Question 1: a) What is the steady-state minimum number of fuel containers needed to sustain "Scenario 1"? b) What is the steady-state minimum number of fuel containers needed to sustain “Scenario 2'? Next let's assume a safety factor of 1.5 to ensure that sufficient fuel containers are available: c) What is the revised minimum number of fuel containers needed to sustain “Scenario 1"? d) What is the revised minimum number of fuel containers needed to sustain “Scenario 2"? Question 3 Assume that 'Refueling Points' could give fuel continuously, meaning one new customer with fuel container could potentially arrive and be serviced every 6 minutes (during steady-state operations): a) What is the minimum number of 'Refueling Points' needed to support “Scenario l"? b) What is the minimum number of 'Refueling Points' needed to support “Scenario 2'?
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
Related questions
Question
Please help with question 2 only.
Transcribed Image Text:Note that historical accounts vary on the total number of antiaircraft searchlights used -- either 130 searchlights
("Scenario l") or 150 searchlights (“Scenario 2"). Let's investigate both in a very basic way.
Initial assumptions:
- "Heavy" antiaircraft searchlights characteristics: 990 million candelas (each powered by a 24 kW, 8-cylinder
searchlight generator).
- Each searchlight generator when fully loaded consumes 5 gallons of fuel per hour. The fuel capacity of each
generator is unknown -- let's assume 25 gallons (or 5 hours of fuel).
150-cm-Flakscheinwerfer 34 at the Luftwaffenmuseum
Berlin-Gatow (photo by Denis Apel).
Question 1
a) How much fuel would be consumed (per hour) for "Scenario 1"? (..and how much for 10 hours?)
b) How much fuel would be consumed (per hour) for “Scenario 2'? (..and how much for 10 hours?)
Conveniently a portable fuel container held slightly more than 5 gallons of fuel. Let's assume that a
'refueling event took 12 minutes from the perspective of a fuel container. This means that it took 12 minutes
(roundtrip) to ferry fuel between a 'Refueling Point’ and a searchlight generator, including the time to fill the fuel
container, the time to empty the fuel container, and the back-and-forth transit times. So, a single fuel container
might possibly support at most 5 well-timed 'refueling events' per hour during steady-state operations (we will
risk this assumption for the sake of simplicity).
Question 2
Based on Question 1:
a) What is the steady-state minimum number of fuel containers needed to sustain "Scenario 1"?
b) What is the steady-state minimum number of fuel containers needed to sustain “Scenario 2'?
Next let's assume a safety factor of 1.5 to ensure that sufficient fuel containers are available:
c) What is the revised minimum number of fuel containers needed to sustain “Scenario 1"?
d) What is the revised minimum number of fuel containers needed to sustain “Scenario 2"?
Question 3
Assume that 'Refueling Points' could give fuel continuously, meaning one new customer with fuel
container could potentially arrive and be serviced every 6 minutes (during steady-state operations):
a) What is the minimum number of 'Refueling Points' needed to support “Scenario l"?
b) What is the minimum number of 'Refueling Points' needed to support “Scenario 2'?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY