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A glass tube with a 90° bend is open at both the ends. It is inserted into a flowing stream of oil, S = 0.90, so that one opening is directed up stream and the other is directed upward. Oil inside the tube is 50mm higher than the surface of flowing oil. The velocity measured by the tube is, nearly,
- a)0.89 m/s
- b)0.99 m/s
- c)1.40 m/s
- d)1.90 m/s
Correct answer is option 'B'. Can you explain this answer?
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A glass tube with a 90° bend is open at both the ends. It is inse...
v^2/2g = h
v = √.2 x 9.81 x 0.05
v = 0.09 m/s
Most Upvoted Answer
A glass tube with a 90° bend is open at both the ends. It is inse...
Apply Bernoulli eqn P1=P2 and you can directly use 2g*50/1000 underroot
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A glass tube with a 90° bend is open at both the ends. It is inse...
To determine the velocity measured by the tube, we need to consider the pressure difference between the two ends of the tube.
Key Given Information:
- A glass tube with a 90-degree bend is open at both ends.
- The tube is inserted into a flowing stream of oil, where the oil has a specific gravity (S) of 0.90.
- One opening of the tube is directed upstream, while the other is directed upward.
- The oil inside the tube is 50 mm higher than the surface of the flowing oil.
1. Understanding the Situation:
The tube is inserted into a flowing stream of oil with one end directed upstream and the other end open to the atmosphere. The oil inside the tube is elevated due to the pressure difference.
2. Pressure Difference Calculation:
The pressure difference between the two ends of the tube can be calculated using the following equation:
ΔP = ρgh
Where:
- ΔP is the pressure difference
- ρ is the density of the fluid (oil)
- g is the acceleration due to gravity
- h is the height difference
Since the oil inside the tube is 50 mm higher than the surface of the flowing oil, we can convert this to meters (50 mm = 0.05 m) and substitute the values:
ΔP = (0.90 * ρwater * g) * 0.05
3. Calculation of Velocity:
The pressure difference can be equated to the dynamic pressure at the opening of the tube. The dynamic pressure can be calculated using Bernoulli's equation:
P + 0.5ρv² = constant
Where:
- P is the pressure
- ρ is the density of the fluid
- v is the velocity of the fluid
Since one opening of the tube is directed upstream, the velocity measured by the tube will be the velocity of the flowing oil minus the velocity of the oil inside the tube.
Therefore, the velocity measured by the tube can be calculated using the equation:
v = √(2ΔP/ρ)
Substituting the values, we can solve for v.
4. Final Calculation and Answer:
Using the given specific gravity (S = 0.90), the density of the oil can be calculated as:
ρ = S * ρwater
Substituting the value of ρ and ΔP into the equation for velocity, we can calculate the velocity measured by the tube.
After performing the calculations, the correct answer is option 'B' - 0.99 m/s.
Key Given Information:
- A glass tube with a 90-degree bend is open at both ends.
- The tube is inserted into a flowing stream of oil, where the oil has a specific gravity (S) of 0.90.
- One opening of the tube is directed upstream, while the other is directed upward.
- The oil inside the tube is 50 mm higher than the surface of the flowing oil.
1. Understanding the Situation:
The tube is inserted into a flowing stream of oil with one end directed upstream and the other end open to the atmosphere. The oil inside the tube is elevated due to the pressure difference.
2. Pressure Difference Calculation:
The pressure difference between the two ends of the tube can be calculated using the following equation:
ΔP = ρgh
Where:
- ΔP is the pressure difference
- ρ is the density of the fluid (oil)
- g is the acceleration due to gravity
- h is the height difference
Since the oil inside the tube is 50 mm higher than the surface of the flowing oil, we can convert this to meters (50 mm = 0.05 m) and substitute the values:
ΔP = (0.90 * ρwater * g) * 0.05
3. Calculation of Velocity:
The pressure difference can be equated to the dynamic pressure at the opening of the tube. The dynamic pressure can be calculated using Bernoulli's equation:
P + 0.5ρv² = constant
Where:
- P is the pressure
- ρ is the density of the fluid
- v is the velocity of the fluid
Since one opening of the tube is directed upstream, the velocity measured by the tube will be the velocity of the flowing oil minus the velocity of the oil inside the tube.
Therefore, the velocity measured by the tube can be calculated using the equation:
v = √(2ΔP/ρ)
Substituting the values, we can solve for v.
4. Final Calculation and Answer:
Using the given specific gravity (S = 0.90), the density of the oil can be calculated as:
ρ = S * ρwater
Substituting the value of ρ and ΔP into the equation for velocity, we can calculate the velocity measured by the tube.
After performing the calculations, the correct answer is option 'B' - 0.99 m/s.
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A glass tube with a 90° bend is open at both the ends. It is inserted into a flowing stream of oil, S = 0.90, so that one opening is directed up stream and the other is directed upward. Oil inside the tube is 50mm higher than the surface of flowing oil. The velocity measured by the tube is, nearly,a)0.89 m/sb)0.99 m/sc)1.40 m/sd)1.90 m/sCorrect answer is option 'B'. Can you explain this answer?
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A glass tube with a 90° bend is open at both the ends. It is inserted into a flowing stream of oil, S = 0.90, so that one opening is directed up stream and the other is directed upward. Oil inside the tube is 50mm higher than the surface of flowing oil. The velocity measured by the tube is, nearly,a)0.89 m/sb)0.99 m/sc)1.40 m/sd)1.90 m/sCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A glass tube with a 90° bend is open at both the ends. It is inserted into a flowing stream of oil, S = 0.90, so that one opening is directed up stream and the other is directed upward. Oil inside the tube is 50mm higher than the surface of flowing oil. The velocity measured by the tube is, nearly,a)0.89 m/sb)0.99 m/sc)1.40 m/sd)1.90 m/sCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A glass tube with a 90° bend is open at both the ends. It is inserted into a flowing stream of oil, S = 0.90, so that one opening is directed up stream and the other is directed upward. Oil inside the tube is 50mm higher than the surface of flowing oil. The velocity measured by the tube is, nearly,a)0.89 m/sb)0.99 m/sc)1.40 m/sd)1.90 m/sCorrect answer is option 'B'. Can you explain this answer?.
A glass tube with a 90° bend is open at both the ends. It is inserted into a flowing stream of oil, S = 0.90, so that one opening is directed up stream and the other is directed upward. Oil inside the tube is 50mm higher than the surface of flowing oil. The velocity measured by the tube is, nearly,a)0.89 m/sb)0.99 m/sc)1.40 m/sd)1.90 m/sCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A glass tube with a 90° bend is open at both the ends. It is inserted into a flowing stream of oil, S = 0.90, so that one opening is directed up stream and the other is directed upward. Oil inside the tube is 50mm higher than the surface of flowing oil. The velocity measured by the tube is, nearly,a)0.89 m/sb)0.99 m/sc)1.40 m/sd)1.90 m/sCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A glass tube with a 90° bend is open at both the ends. It is inserted into a flowing stream of oil, S = 0.90, so that one opening is directed up stream and the other is directed upward. Oil inside the tube is 50mm higher than the surface of flowing oil. The velocity measured by the tube is, nearly,a)0.89 m/sb)0.99 m/sc)1.40 m/sd)1.90 m/sCorrect answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice A glass tube with a 90° bend is open at both the ends. It is inserted into a flowing stream of oil, S = 0.90, so that one opening is directed up stream and the other is directed upward. Oil inside the tube is 50mm higher than the surface of flowing oil. The velocity measured by the tube is, nearly,a)0.89 m/sb)0.99 m/sc)1.40 m/sd)1.90 m/sCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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