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Consider the given configuration, if the pressure in pipe A reduces by 5 kN/m2, find out the new manometric height.
Correct answer is 'Range: 6.1 to 6.2'. Can you explain this answer?
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Consider the given configuration, if the pressure in pipe A reduces b...
Using hydro-static law pA = pB
⇒ p + 10 cm of water = 10 cm of Hg ⋯ ① If p decreases by 5 kPa, level of Hg in left limb i.e. A will rise up to A′ and C will fall to C′ . Thus new configuration will be as follows.
Equating pressure at !′ and B′ pA′ = pB′ p′ + (10 − x)cm of water = (10 − 2x)cm of Hg p′ + 10 cm of water − x cm of water = 10 cm of Hg − 2x cm of Hg Also p′ = p − 5 kPa ∴ p − 5 kPa + 10 cm of water − x cm of water = 10 cm of Hg − 2x cm of Hg ⋯ ② Substituting ① in ②
−5 kPa − x cm of water = −2x cm of Hg
−5 kPa = x cm of water − 2x cm of Hg
∴ −5000 =x / 100 × 1000 × 9.81 − 2x / 100 × 13600 × 9.81
∴ 5000 = 2x / 100 × 13600 × 9.81 − x / 100 × 1000 × 9.81
5000 = x ( 2/100 × 13600 × 9.81 −1 / 100× 1000 × 9.81)
x = 5000 / 2570.22
x = 1.9453 cm
∴ New Manometric height
10 − 2x = 6.1 cm
Most Upvoted Answer
Consider the given configuration, if the pressure in pipe A reduces b...
Using hydro-static law pA = pB
⇒ p + 10 cm of water = 10 cm of Hg ⋯ ① If p decreases by 5 kPa, level of Hg in left limb i.e. A will rise up to A′ and C will fall to C′ . Thus new configuration will be as follows.
Equating pressure at !′ and B′ pA′ = pB′ p′ + (10 − x)cm of water = (10 − 2x)cm of Hg p′ + 10 cm of water − x cm of water = 10 cm of Hg − 2x cm of Hg Also p′ = p − 5 kPa ∴ p − 5 kPa + 10 cm of water − x cm of water = 10 cm of Hg − 2x cm of Hg ⋯ ② Substituting ① in ②
−5 kPa − x cm of water = −2x cm of Hg
−5 kPa = x cm of water − 2x cm of Hg
∴ −5000 =x / 100 × 1000 × 9.81 − 2x / 100 × 13600 × 9.81
∴ 5000 = 2x / 100 × 13600 × 9.81 − x / 100 × 1000 × 9.81
5000 = x ( 2/100 × 13600 × 9.81 −1 / 100× 1000 × 9.81)
x = 5000 / 2570.22
x = 1.9453 cm
∴ New Manometric height
10 − 2x = 6.1 cm
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Consider the given configuration, if the pressure in pipe A reduces by 5 kN/m2, find out the new manometric height.Correct answer is 'Range: 6.1 to 6.2'. Can you explain this answer?
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Consider the given configuration, if the pressure in pipe A reduces by 5 kN/m2, find out the new manometric height.Correct answer is 'Range: 6.1 to 6.2'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Consider the given configuration, if the pressure in pipe A reduces by 5 kN/m2, find out the new manometric height.Correct answer is 'Range: 6.1 to 6.2'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the given configuration, if the pressure in pipe A reduces by 5 kN/m2, find out the new manometric height.Correct answer is 'Range: 6.1 to 6.2'. Can you explain this answer?.
Consider the given configuration, if the pressure in pipe A reduces by 5 kN/m2, find out the new manometric height.Correct answer is 'Range: 6.1 to 6.2'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Consider the given configuration, if the pressure in pipe A reduces by 5 kN/m2, find out the new manometric height.Correct answer is 'Range: 6.1 to 6.2'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the given configuration, if the pressure in pipe A reduces by 5 kN/m2, find out the new manometric height.Correct answer is 'Range: 6.1 to 6.2'. Can you explain this answer?.
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