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A municipal corporation is required to treat 1000 m3/day of water. It is found that an overflow rate of 20 m/day will produce a satisfactory removal of the discrete suspended particles at a depth of 3 m. The diameter (in meters, rounded to the nearest integer) of a circular settling tank designed for the removal of these particles would be______
Correct answer is '8'. Can you explain this answer?
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Designing a Circular Settling Tank for Water Treatment
In order to design a circular settling tank for water treatment, we need to consider the required treatment capacity and the overflow rate. Let's break down the given information step by step to determine the diameter of the settling tank.
Step 1: Calculate Surface Area
The overflow rate is given as 20 m/day, which represents the settling velocity of the suspended particles. To achieve satisfactory removal of these particles at a depth of 3 m, we can calculate the required surface area of the settling tank using the following formula:
Surface Area = Flow Rate / Overflow Rate
Given that the flow rate is 1000 m3/day and the overflow rate is 20 m/day, we can substitute these values into the formula:
Surface Area = 1000 m3/day / 20 m/day = 50 m2
Step 2: Calculate Diameter
The surface area of a circular settling tank can be calculated using the formula for the area of a circle:
Surface Area = π * (Diameter/2)^2
Rearranging the formula, we can solve for the diameter:
Diameter = √(Surface Area * 4 / π)
Substituting the calculated surface area into the formula:
Diameter = √(50 m2 * 4 / π) ≈ 7.98 m
Rounding the diameter to the nearest integer, we get a value of 8 m.
Therefore, the diameter of the circular settling tank designed for the removal of these particles would be 8 meters, which is the correct answer.
Summary:
- The required surface area of the settling tank is calculated using the flow rate and overflow rate.
- The diameter of the settling tank is then determined using the surface area.
- The calculated diameter is rounded to the nearest integer, resulting in a diameter of 8 meters.
In order to design a circular settling tank for water treatment, we need to consider the required treatment capacity and the overflow rate. Let's break down the given information step by step to determine the diameter of the settling tank.
Step 1: Calculate Surface Area
The overflow rate is given as 20 m/day, which represents the settling velocity of the suspended particles. To achieve satisfactory removal of these particles at a depth of 3 m, we can calculate the required surface area of the settling tank using the following formula:
Surface Area = Flow Rate / Overflow Rate
Given that the flow rate is 1000 m3/day and the overflow rate is 20 m/day, we can substitute these values into the formula:
Surface Area = 1000 m3/day / 20 m/day = 50 m2
Step 2: Calculate Diameter
The surface area of a circular settling tank can be calculated using the formula for the area of a circle:
Surface Area = π * (Diameter/2)^2
Rearranging the formula, we can solve for the diameter:
Diameter = √(Surface Area * 4 / π)
Substituting the calculated surface area into the formula:
Diameter = √(50 m2 * 4 / π) ≈ 7.98 m
Rounding the diameter to the nearest integer, we get a value of 8 m.
Therefore, the diameter of the circular settling tank designed for the removal of these particles would be 8 meters, which is the correct answer.
Summary:
- The required surface area of the settling tank is calculated using the flow rate and overflow rate.
- The diameter of the settling tank is then determined using the surface area.
- The calculated diameter is rounded to the nearest integer, resulting in a diameter of 8 meters.
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A municipal corporation is required to treat 1000 m3/day of water. It is found that an overflow rate of 20 m/day will produce a satisfactory removal of the discrete suspended particles at a depth of 3 m. The diameter (in meters, rounded to the nearest integer) of a circular settling tank designed for the removal of these particles would be______Correct answer is '8'. Can you explain this answer?
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A municipal corporation is required to treat 1000 m3/day of water. It is found that an overflow rate of 20 m/day will produce a satisfactory removal of the discrete suspended particles at a depth of 3 m. The diameter (in meters, rounded to the nearest integer) of a circular settling tank designed for the removal of these particles would be______Correct answer is '8'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A municipal corporation is required to treat 1000 m3/day of water. It is found that an overflow rate of 20 m/day will produce a satisfactory removal of the discrete suspended particles at a depth of 3 m. The diameter (in meters, rounded to the nearest integer) of a circular settling tank designed for the removal of these particles would be______Correct answer is '8'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A municipal corporation is required to treat 1000 m3/day of water. It is found that an overflow rate of 20 m/day will produce a satisfactory removal of the discrete suspended particles at a depth of 3 m. The diameter (in meters, rounded to the nearest integer) of a circular settling tank designed for the removal of these particles would be______Correct answer is '8'. Can you explain this answer?.
A municipal corporation is required to treat 1000 m3/day of water. It is found that an overflow rate of 20 m/day will produce a satisfactory removal of the discrete suspended particles at a depth of 3 m. The diameter (in meters, rounded to the nearest integer) of a circular settling tank designed for the removal of these particles would be______Correct answer is '8'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A municipal corporation is required to treat 1000 m3/day of water. It is found that an overflow rate of 20 m/day will produce a satisfactory removal of the discrete suspended particles at a depth of 3 m. The diameter (in meters, rounded to the nearest integer) of a circular settling tank designed for the removal of these particles would be______Correct answer is '8'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A municipal corporation is required to treat 1000 m3/day of water. It is found that an overflow rate of 20 m/day will produce a satisfactory removal of the discrete suspended particles at a depth of 3 m. The diameter (in meters, rounded to the nearest integer) of a circular settling tank designed for the removal of these particles would be______Correct answer is '8'. Can you explain this answer?.
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