Calculating Volume of Water Flow From a Pipe & Sprayer

In summary, the conversation discusses a problem involving a pipe with an area of 4 cm2 and a sprayer with 4 holes, each with an area of 0.5 cm2. The problem asks for the volume of water that comes out of each hole in 1 minute, with a given water speed of 2.5 m/s. Using the equations A1v1=A2v2 and Q = V/t = Av, the solution is found to be 15 liters for each hole, which does not match any of the given choices. The participants in the conversation are confused and cannot find a mistake in the solution.
  • #1
songoku
2,384
351

Homework Statement


A pipe has area 4 cm2 and is connected to sprayer that has 4 holes each of 0.5 cm2. If the speed of water in pipe 2.5 m/s, the volume of water that comes out from each of the holes in 1 minute is ... liters
a. 0.1
b. 0.6
c. 1
d. 6
e. 10

Homework Equations


A1v1=A2v2

Q = V/t = Av

The Attempt at a Solution


Q = Av = 4 cm2 x 250 cm/s = 1000 cm3/s

V = Q.t = 1000 x 60 = 60 000 cm3 = 60 liter

V in each holes = 60 / 4 = 15 liters ?

My answer doesn't even close to the choices...:cry:

Where is my mistake? Thanks
 
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  • #2
Weird, I agree with your answer.
 
  • #3
I also agree.
 
  • #4
I agree with Redbelly98 but disagree with ashishsinghal.
 
  • #5
okay, that's funny.
 
  • #6
lol, that's really funny

thanks for all your help guys :)
 

FAQ: Calculating Volume of Water Flow From a Pipe & Sprayer

How do you calculate the volume of water flow from a pipe?

To calculate the volume of water flow from a pipe, you will need to measure the diameter of the pipe in inches and the velocity of the water in feet per second. Then, use the formula: Volume = Cross-sectional area x Velocity. The cross-sectional area can be calculated by dividing the diameter by 2 and squaring it, then multiplying by π (3.14).

What is the equation for calculating the velocity of water flow?

The equation for calculating the velocity of water flow is: Velocity = Flow rate / Cross-sectional area. The flow rate can be measured in gallons per minute or cubic feet per second, depending on the units used for the cross-sectional area.

How do you determine the cross-sectional area of a pipe?

The cross-sectional area of a pipe can be determined by measuring the diameter of the pipe in inches, dividing it by 2, and squaring it. Then, multiply this value by π (3.14) to find the area in square inches. If the diameter is already given in feet, simply square it and multiply by π to find the area in square feet.

What factors can affect the volume of water flow from a pipe?

Several factors can affect the volume of water flow from a pipe, including the diameter of the pipe, the velocity of the water, the length of the pipe, and any obstructions or restrictions in the pipe. The temperature and pressure of the water can also impact the flow rate.

How does the volume of water flow change when using a sprayer?

The volume of water flow can change when using a sprayer due to the nozzle size and type, as well as the pressure at which the water is being sprayed. A smaller nozzle or higher pressure can result in a higher flow rate, while a larger nozzle or lower pressure can decrease the flow rate.

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