FIR201 Assignment 1A (1)
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Math in the Fire Service Bobby Roseberry Fire Science Department, Eastern Gateway Community College
FIR 201 Fire Service Hydraulics
Professor Mansfield October 29, 2023
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Math in the Fire Service Using math is a very practical operation that we rely on. Everyone uses some type of math on a daily basis and don't even realize it. When you go into a store and shop you are using math by either figuring out a discount, what your total is, or if using cash making sure to give enough cash to cover your purchase and how much change you should get back. In the fire service math can be used pretty frequently on the scene of an incident. When laying a hose from the hydrant to the scene, we are calculating to make sure we have enough hose to reach, deploying an attack line in the structure making sure there is enough hose, and when making sure
we are flowing enough water for the incident by calculating the pressures needed and gallons per
minute needed. The purpose of this paper is to discuss my academic and practical applications of
math, and the key takeaway from the review of Appendix A.
Literature Review
During high school I was placed in advanced placement math classes due to doing so well in the normal math classes. After graduating from high school I obtained my Associates in Criminal Justice where I had to take a statistics math class and then with the process of obtaining
my Associates of Fire Science, I was required to take Quantitative Reasoning math. My experience working with math in the practical application occurs daily I my job along with at times using it in the fire service . Working as a correctional officer I used just your basic math on
a daily basis when having to figure out how much contraband an inmate had on them. I am also a
part of our Special Response Team and will have to at times figure out the square feet and volume of a room and then will determine how much chemical munitions will need to be deployed in that area to effectively cover the area. In the fire service math is used to figure out how much pressure you need to provide the correct amount of water for the situation, and getting
the correct ratio with using a CAF system. Appendix A was a very good review of all the math that can and will be used in the fire service on the fire ground. The key takeaway I got from the
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appendix A was the refresher on the correct may to use the order of operation and that if not done correctly it will not give the correct answer needed. Conclusion
Math will always be used on a daily basis by almost everyone. The fire service will always require some form of math that needs completed on an emergency scene to figure out the proper flow, pressure, water needed, and if a truck is equipped with a CAF system then you will need to know the correct percentage of foam, compressed air and water for the mixture to be effected. In a lot of emergency cases on a scene most firefighters don't think about using math but instead will guess, so times this may work and sometimes it may not.
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Answer the Following Question
1.
95
+ 72
167 2.
2789
-1453
1336
3.
84
*29
756
1680
2436
First you would take 9*4 = 36, place the 6 under the line , carry the 3 over above the 8, then multiply 8*9=72 + 3 = 75, so the first set of multiplication would give a total of 756. Then place a 0 below the 6, multiply 2*4=8, place the 8 under the 5, then multiply 2*8= 16, place 16 beside the 8, then add both lines together to get the answer of 2,436.
4.
(2+3)*(4+5)=
5 * 9 = 45
5.
792/132= 6
792 divided by 132, you will check to see how many times 132 will go into 792 by multiplying 132 by a single number, when checked 132 will go into 792 6 times.
6.
5
2
= 5*5= 25
7.
√
❑
= 12 Need to figure out what whole number times itself would equal 144, when checking the whole numbers 12*/12=144.
8.
Solve the volume Length = 4 ft.
Width = 5 ft.
Height = 20 ft.
Volume = Length * Width * Height/ V= L*W*H= Volume = 4 * 5 * 20 = = 20 * 20 = Volume = 400
ft
3
9.
Solve for Inches 12 ft. = inches
12 * 12= 144 inches
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We know there is 12 inches in 1 foot, so we will take 12 inches and multiply it by 12 feet and will receive 144 inches as the answer. 10. Round to the closest whole number:
5.612345000120
= 6
When rounding to the closest number we will look at the number in tenth place, which is 6, so 6 is past five so the number will round up, giving us an answer of 6.
11. Round to the closest whole number:
5.412345000120
= 5
When rounding to the closest whole number you will look at the number in the tenth place, which is 4 and below 5 show the number in the whole number will not change giving an answer of 5 12. Solve the following using appropriate order of operation:
√
❑
√
❑
√
❑
= 5
13. Solve the following using appropriate order of operation:
6(362*3)
6(1086)
= 6516
14. Solve the following:
52*25*5=
1300*5= = 6500
15. Solve for feet:
264 inches = ?feet 264 inches / 12 inches = ?feet
= 22 feet We know there is 12 inches in 1 foot, so we will divide 264
inches by 12 inches to get feet, and it will equal 22 feet. 16. Solve the following:
5,287 - 2,398=
5,287
-2,398
2,889
In order to carry out the subtraction, first you will need to borrow from the 8 in the top row making it a 7 and then in return makes the 7 a 17, then subtract 17- 8 which gives you 9, then the 7 is lower than the 9, so you will need to borrow from the 2 making it a 1
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and then making the 7 a 17, now subtract 17 - 9 which gives you 8, then you will need to
subtract the next number, however 1 is lower than 3, so you will need to borrow from the 5 making it a 4 and in return make the 1 a 11. Now you will subtract 11 - 3 and get an answer of 8, and the last subtraction needed down is 4 -2 giving an answer of 2. After all the subtraction you receive an answer of 2,889.
17. Solve for volume:
Length = 6 ft
Width = 9 ft
Height = 12 ft.
Volume = ?
Volume = Length * Width * Height Volume = 6 * 9 *12 Volume = 648
ft
3
18. Solve for area:
Length = 2 ft
Width = 3 ft
Area= ?
Area = Length * Width
Area = 2 * 3 Area = 6
ft
2
19. Solve the following:
5
5
= = 5 *5 *5 * 5 * 5 = 25 * 5 * 5 * 5
= 125 * 5 * 5 = 625 * 5 = 3125
20. Solve for area
Length = 5 ft
Width = 4 ft
Area = ?
Area = Length * Width
Area = 5 * 4
Area = 20
ft
2
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Appendix A
Warren TWP Vol. Fire Dept.- Standard Operating Guidelines
SOG 2-3- Incident Management 1. General
1.1 Purpose. The purpose of this standard is to provide a management system for operating
incidents, both emergency and non-emergency.
1.2 Scope. This standard operating guideline shall apply to all members of Warren Twp Vol Fire
Dept.
1.3 Enforcement. Enforcement of this standard operating guideline is the responsibility of the
department’s officers. Any person deviating from the provisions of this guideline may be
required, at the discretion of the officer in charge, to submit in writing, within five (5) calendar
days, an explanation for such deviation to the requesting officer who will forward the
explanation up the chain of command for further review.
2. Incident Command System
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2.1 Use. The National Incident Management System (NIMS) shall be used as the management
system for operating at all incidents, including those of an emergent and/or routine nature. The
command system shall assure central control and the necessary command structure in order to
effectively manage an incident. Only those positions within the system that are needed for
effective command and control shall be implemented at any incident scene.
3. System Positions
3.1 Positions. The following are the radio identification titles and the position title as well as a
brief responsibility statement for each position within the Incident Command System.
3.2 Command. The
Incident Commander is the person responsible for the all of the incident
activities.
3.3 Operations. The Operations Section Chief is responsible for those units who are operating
at the scene of an incident and is responsible to make tactical decisions in support of the Incident
Commander’s strategic plan.
3.4 Liaison. The Liaison Officer is responsible for interaction with those agencies that are
assisting or cooperating with the incident’s primary agency.
3.5 Safety. The Safety Officer is responsible for the safety of all personnel and equipment.
3.6 Plans. The Planning Section Chief is responsible for understanding the current situation and
predicting from a strategic and tactical standpoint the probable course of the incident, and
developing courses of action for those scenarios.
3.7 Accountability. The
Personnel Accountability Unit Leader Is responsible for maintaining a
record of all personnel operating at an incident and performs roll calls of personnel as necessary.
3.8 Logistics. The
Logistics Section Chief is responsible for managing those units that provide
manpower, apparatus, equipment, facilities, and personal needs in support of incident activities.
3.9 Rehab. The
Rehabilitation Group is responsible for providing rehabilitation services to
firefighters including drinks, food, and rest so they can return to duty.
3.10 Staging. The
Staging Area Officer is responsible for establishing and maintaining a staging
area for incoming resources and holds them until directed to release to perform a given
assignment.
3.11 Water Supply. The
Water Supply Officer is responsible for the handling of all details in
the supply of water at a quantity matching or exceeding fire flow needs or advising command of
limitations of the same.
3.12 Division/Group. Division/Group Supervisors are responsible for the performance of
tactical tasks assigned. Those division/groups assume the radio title of the task they are
performing, i.e. Ventilation, Interior, Roof, Salvage, etc or the geographical location of the
division, i. e. A, B, C, 1, 2, East, West ect.
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3.13 Medical. The
Medical Unit Leader Is responsible for the management of the Emergency Medical Service elements within the incident. Ambulance company supervisory personnel most commonly fill this role.
4.0 Organization Chart
4.1 The Organizational Chart shown in Appendix F shall be utilized in Incident Command Operations. Only those positions necessary to effectively manage the incident shall be filled. An individual may be assigned to assume multiple roles within the organizational structure as needed.
5. Command Procedures
5.1 All incidents shall have an Incident Commander as defined by the Incident Command
System. The Incident Commander is responsible and in charge of the incident at all times, even
if other senior officers are present and command has not been shifted to the senior officer.
5.2 A more senior ranking officer may assume command of an incident providing the change of
command is done face to face and the relieving officer has received a full briefing from the
incident commander of all the relevant tactical and strategic operations in progress. Upon any
change in command an announcement must be made over the radio to notifying all units of the
change.
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