What fraction of the tank will be filled in 1.85 hours with all pipes in operation?

  • Thread starter powergirl
  • Start date
In summary, there are two inlet pipes (a large one and a small one) and one outlet pipe for a large water tank. Filling the tank with the large inlet pipe takes 2 hours, while filling it with the small inlet pipe takes 6 hours. The outlet pipe can empty the full tank in 8 hours. If all three pipes are in operation, after 1.85 hours, the tank will be filled to 1.00 (full) and some water may have spilled.
  • #1
powergirl
A large water tank has two inlet pipes (a

large one and a small one) and one outlet

pipe. It takes 2 hours to fill the tank

with the large inlet pipe. On the other

hand, it takes 6 hours to fill the tank

with the small inlet pipe. The outlet

pipe allows the full tank to be emptied

in 8 hours.

What fraction of the tank (initially

empty) will be filled in 1.85 hours if

all three pipes are in operation? Give

your answer to two decimal places (e.g.,

0.25, 0.5, or 0.75).
 
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  • #2
It should be full (1.00) and some had already been spilled.

Daniel.
 
  • #3
Yes,U R right
 

1. What is the formula for calculating the fraction of the tank filled in a given time?

The formula for calculating the fraction of the tank filled in a given time is: (water flow rate * time) / tank capacity. This will give you the fraction of the tank that will be filled in the given time.

2. How do you determine the water flow rate for each pipe?

To determine the water flow rate for each pipe, you will need to know the diameter, length, and material of the pipe. Using this information, you can calculate the flow rate using the Hazen-Williams equation or other flow rate equations.

3. Is the fraction of the tank filled in 1.85 hours affected by the number of pipes in operation?

Yes, the fraction of the tank filled in 1.85 hours is affected by the number of pipes in operation. The more pipes in operation, the faster the tank will fill, resulting in a higher fraction of the tank being filled in the given time.

4. How can the tank capacity be determined?

The tank capacity can be determined by measuring the dimensions of the tank and calculating its volume. Alternatively, the tank capacity may be provided by the tank manufacturer or can be found in engineering specifications.

5. Can the fraction of the tank filled in 1.85 hours be accurately predicted?

The fraction of the tank filled in 1.85 hours can be predicted with a certain degree of accuracy, but it may vary depending on factors such as changes in water flow rate or interruptions in the operation of the pipes. Other variables, such as temperature and pressure, may also affect the accuracy of the prediction.

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