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A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUE
- a)Flow is from S1 to S2 and head loss is 0.53 m
- b)Flow is from S2 to S1 and head loss is 0.53 m
- c)Flow is from S1 to S2 and head loss is 1.06 m
- d)Flow is from S2 to S1 and head loss is 1.06 m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A smooth pipe of diameter 200 mm carries water. The pressure in the pi...
Applying Bernoulli’s equation between section S1 and S2
as area is constant velocity head will be same
thus flow from S1 to S2 and head loss is 1.06 m.
Most Upvoted Answer
A smooth pipe of diameter 200 mm carries water. The pressure in the pi...
Given information:
- Diameter of the pipe = 200 mm
- Pressure at section S1 (elevation: 10 m) = 50 kPa
- Pressure at section S2 (elevation: 12 m) = 20 kPa
- Velocity at section S2 = 2 m/s
- Density of water = 1000 kg/m^3
- Acceleration due to gravity = 9.8 m/s^2
Analysis:
To determine the flow direction and head loss, we can use Bernoulli's equation. Bernoulli's equation states that the total energy of a fluid is conserved along a streamline. It can be expressed as:
P1/ρ + V1^2/2 + g*z1 = P2/ρ + V2^2/2 + g*z2
Where:
P1 and P2 are the pressures at sections S1 and S2 respectively,
ρ is the density of water,
V1 and V2 are the velocities at sections S1 and S2 respectively,
g is the acceleration due to gravity,
z1 and z2 are the elevations at sections S1 and S2 respectively.
Calculation:
1. Convert the diameter of the pipe to meters:
Diameter = 200 mm = 0.2 m
2. Calculate the cross-sectional area of the pipe:
A = π*(Diameter/2)^2 = π*(0.1^2) = 0.0314 m^2
3. Calculate the velocity at section S1 using the continuity equation:
A1*V1 = A2*V2
0.0314*V1 = 0.0314*2
V1 = 2 m/s
4. Substitute the given values into Bernoulli's equation for sections S1 and S2:
50,000/1000 + 2^2/2 + 9.8*10 = 20,000/1000 + 2^2/2 + 9.8*12
5. Simplify the equation:
50 + 2^2/2 + 98 = 20 + 2^2/2 + 9.8*12
6. Solve for the head loss (Δz = z2 - z1):
Δz = 12 - 10 = 2 m
7. The correct answer is option 'C':
- Flow is from S1 to S2 (the pressure decreases from 50 kPa to 20 kPa).
- The head loss is 2 m.
Conclusion:
The flow is from section S1 to section S2 and the head loss is 2 m. Therefore, option 'C' is the correct answer.
- Diameter of the pipe = 200 mm
- Pressure at section S1 (elevation: 10 m) = 50 kPa
- Pressure at section S2 (elevation: 12 m) = 20 kPa
- Velocity at section S2 = 2 m/s
- Density of water = 1000 kg/m^3
- Acceleration due to gravity = 9.8 m/s^2
Analysis:
To determine the flow direction and head loss, we can use Bernoulli's equation. Bernoulli's equation states that the total energy of a fluid is conserved along a streamline. It can be expressed as:
P1/ρ + V1^2/2 + g*z1 = P2/ρ + V2^2/2 + g*z2
Where:
P1 and P2 are the pressures at sections S1 and S2 respectively,
ρ is the density of water,
V1 and V2 are the velocities at sections S1 and S2 respectively,
g is the acceleration due to gravity,
z1 and z2 are the elevations at sections S1 and S2 respectively.
Calculation:
1. Convert the diameter of the pipe to meters:
Diameter = 200 mm = 0.2 m
2. Calculate the cross-sectional area of the pipe:
A = π*(Diameter/2)^2 = π*(0.1^2) = 0.0314 m^2
3. Calculate the velocity at section S1 using the continuity equation:
A1*V1 = A2*V2
0.0314*V1 = 0.0314*2
V1 = 2 m/s
4. Substitute the given values into Bernoulli's equation for sections S1 and S2:
50,000/1000 + 2^2/2 + 9.8*10 = 20,000/1000 + 2^2/2 + 9.8*12
5. Simplify the equation:
50 + 2^2/2 + 98 = 20 + 2^2/2 + 9.8*12
6. Solve for the head loss (Δz = z2 - z1):
Δz = 12 - 10 = 2 m
7. The correct answer is option 'C':
- Flow is from S1 to S2 (the pressure decreases from 50 kPa to 20 kPa).
- The head loss is 2 m.
Conclusion:
The flow is from section S1 to section S2 and the head loss is 2 m. Therefore, option 'C' is the correct answer.
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Question Description
A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer?.
A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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Here you can find the meaning of A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation:10 m) is 50 kPa. At section S2 (elevation:12 m) the pressure is 20 kPa and velocity is 2 ms-1. Density of water is 1000 kgm-3 and acceleration due to gravity is 9.8 ms-2. Which of the following is TRUEa)Flow is from S1 to S2 and head loss is 0.53 mb)Flow is from S2 to S1 and head loss is 0.53 mc)Flow is from S1to S2 and head loss is 1.06 md)Flow is from S2 to S1 and head loss is 1.06 mCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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