Introduction: Fire Hose Math
You are going to make a graph and some equations on what water pressure is the best on a fire truck.
Supplies
- Graph paper
- Lined Paper
- Pencil
- Caculator
Step 1: Creating Graph
when you have your graph paper write a graph about 30 squares high and 36 squares long. One a different page draw another graph the same size (30 high 36 long).
Step 2: Labeling Graph
You can title both graphs what ever you want. On the left side of your first graph label it Nozzle Reaction. On the bottem on the same graph label it PSI. On your second graph, on the left side label it Friction loss and on the bottem label it PSI. On the left side of your Nozzle Reaction graph label it starting from 10 at the bottom to 300 and on your friction loss graph label it from 1 at the bottom to 30. To make your points on the PSI line of your graphs you are going to label every 9 lines 40, then 50, then, 75, and 100 on both graphs.
Step 3: Finding Points for Nozzle Reaction (40 PSI)
To find your points for the nozzle reaction graph you need to find the nozzle reaction. On your piece of lined paper write 40 PSI and underneath it write nr= .0505 x 110 x the square root of 40. Now we have to find the sqaure root of 40 type 40 and hit the button on your calculator that solves the sqaure root, and you should get 6.324. Then write nr=.0505 x 100 x 6.324. Next you multiply .0505 x 110 which is 7.575 and you need to write nr=5.555 x 6.324 and multiply those together and you might get a decimal but round and you should get nr= 35. then on your graph go above 40 and mark it at (40, 35)
Step 4: Finding Point for Nozzle Reaction (50 PSI)
For 50 PSI you are going to do the same a you did for 40 but in stead of finding the sqaure root for 40 you are going to fnd it for 50. nr=.0505 x 122 x the sqaure root of 50. find the squre root of 50 which is 7.051 then write nr= .0505 x 122 x 7.071. Multiply .0505 x 122 which is 6.161 so write nr= 6.161 x 7.071. Next multiply those and you should get nr= 44 but if you get a decimal don forget to round. Then graph the point on your graph which is (50,44)
Step 5: Finding Point for Nozzle Reaction (75 PSI)
For 75 PSI you are going to do the same a you did for 40, and 50 but in stead of finding the sqaure root for 40 or 50 you are going to fnd it for 75. nr=.0505 x 150 x the sqaure root of 75. find the squre root of 75 which is 8.6602 then write nr= .0505 x 150 x 8.6602. Multiply .0505 x 150 which is 7.575 so write nr= 7.575 x 8.6602. Next multiply those and you should get nr= 66 but if you get a decimal don forget to round. Then graph the point on your graph which is (75,66)
Step 6: Finding Point for Nozzle Reaction (100 PSI)
For 100 PSI you are going to do the same a you did for 40, 50, and 75 but in stead of finding the sqaure root for 40, 50, 75 you are going to fnd it for 100. nr=.0505 x 173 x the sqaure root of 100. find the squre root of 100 which is 10 then write nr= .0505 x 173 x 10. Multiply .0505 x 173 which is 8.7365 so write nr= 8.7365 x 10. Next multiply those and you should get nr= 87 but if you get a decimal don forget to round. Then graph the point on your graph which is (100,87)
Step 7: Finding Point for Friction Loss (40 PSI)
On a different sheet of lined paper write 40 PSI on top of your paperand underneath write fL= c x q/100 x L/100. next to fill in the numbers write fL= 1 3/4 x 110/100 x 200/100. Next divide 110 by 100 and 200 by 100 so you should get fL= 1 3/4 x 1.1 x 2. next multiply 1.1 x 2 and you should get fL= 1 3/4 x 2.2. Next you need to multiply 1 3/4 times 2.2 and you might get a decimal but if you round you should get fL= 4. Then graph it on your friction loss graph at (40,4)
Step 8: Finding Point for Friction Loss (50 PSI)
Write 50 PSI on top of your paperand underneath write fL= c x q/100 x L/100. next to fill in the numbers write fL= 1 3/4 x 122/100 x 200/100. Next divide 122 by 100 and 200 by 100 so you should get fL= 1 3/4 x 1.22 x 2. next multiply 1.22 x 2 and you should get fL= 1 3/4 x 2.44. Next you need to multiply 1 3/4 times 2.44 and you might get a decimal but if you round you should get fL= 4. Then graph it on your friction loss graph at (50,4)
Step 9: Finding Point for Friction Loss (75 PSI)
Write 75 PSI on top of your paperand underneath write fL= c x q/100 x L/100. next to fill in the numbers write fL= 1 3/4 x 150/100 x 200/100. Next divide 150 by 100 and 200 by 100 so you should get fL= 1 3/4 x 1.5 x 2. next multiply 1.5 x 2 and you should get fL= 1 3/4 x 3. Next you need to multiply 1 3/4 times 3 and you might get a decimal but if you round you should get fL= 5. Then graph it on your friction loss graph at (75,5)
Step 10: Finding Point for Friction Loss (100 PSI)
Write 100 PSI on top of your paperand underneath write fL= c x q/100 x L/100. next to fill in the numbers write fL= 1 3/4 x 173/100 x 200/100. Next divide 173 by 100 and 200 by 100 so you should get fL= 1 3/4 x 1.73 x 2. next multiply 1.73 x 2 and you should get fL= 1 3/4 x 3.46. Next you need to multiply 1 3/4 times 3.46 and you might get a decimal but if you round you should get fL= 6. Then graph it on your friction loss graph at (100,6)
Step 11: Ploting Points (Nozzle Reaction)
Next after you did all your math you are going to graph all your points. The first point is (40,35), the second point is (50,44), the third point is (75,66), and the last point is (100,87). Once you have all your points make a line going through all the points so you can see how much high it goes.
Step 12: Ploting Points (Friction Loss)
Next after you did all your math you are going to graph all your points. The first point is (40,4), the second point is (50,4), the third point is (75,5), and the last point is (100,6). Once you have all your points make a line going through all the points so you can see how much high it goes.