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A certain pressure transducer measures the stagnation pressure (the total pressure). The density of the fluid is 1.03 g/cm3 and the velocity of flow is 100 cm/s. (2001)
(a) Calculate the dynamic pressure (pressure due to the velocity of flow) in N/m2.
(b) If the total pressure measured by the transducer is 10000 N/m2, find the static pressure in mm of Hg.
Correct answer is '1.03 × 103, 74.95'. Can you explain this answer?
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Verified Answer
A certain pressure transducer measures the stagnation pressure (the t...
Static pressure = rgh
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(a) Dynamic load
(b) Total pressure = pgh
or 10,000 N/m2, = 1,000 x 9.8 x h
Most Upvoted Answer
A certain pressure transducer measures the stagnation pressure (the t...
Given:
- Density of the fluid (ρ) = 1.03 g/cm³ = 1030 kg/m³
- Velocity of flow (V) = 100 cm/s = 1 m/s
(a) Calculation of Dynamic Pressure:
Dynamic pressure (q) is given by the equation:
q = 0.5 * ρ * V²
Substituting the given values:
q = 0.5 * 1030 * (1)²
q = 0.5 * 1030 N/m²
q = 515 N/m²
Therefore, the dynamic pressure is 515 N/m².
(b) Calculation of Static Pressure:
Total pressure (P) = Stagnation pressure
We are given that the total pressure measured by the transducer is 10000 N/m².
Static pressure (P0) is given by the equation:
P0 = P - q
Substituting the given values:
P0 = 10000 - 515
P0 = 9485 N/m²
Conversion to mm of Hg:
1 N/m² = 0.00750062 mm of Hg
P0 (in mm of Hg) = 9485 * 0.00750062
P0 ≈ 71.14 mm of Hg
Therefore, the static pressure is approximately 71.14 mm of Hg.
Summary:
- Dynamic pressure is the pressure due to the velocity of flow and is calculated using the formula q = 0.5 * ρ * V².
- Substituting the given values, the dynamic pressure is found to be 515 N/m².
- Static pressure is the difference between the total pressure and the dynamic pressure. It is calculated using the formula P0 = P - q.
- Substituting the given values, the static pressure is found to be approximately 71.14 mm of Hg.
- Density of the fluid (ρ) = 1.03 g/cm³ = 1030 kg/m³
- Velocity of flow (V) = 100 cm/s = 1 m/s
(a) Calculation of Dynamic Pressure:
Dynamic pressure (q) is given by the equation:
q = 0.5 * ρ * V²
Substituting the given values:
q = 0.5 * 1030 * (1)²
q = 0.5 * 1030 N/m²
q = 515 N/m²
Therefore, the dynamic pressure is 515 N/m².
(b) Calculation of Static Pressure:
Total pressure (P) = Stagnation pressure
We are given that the total pressure measured by the transducer is 10000 N/m².
Static pressure (P0) is given by the equation:
P0 = P - q
Substituting the given values:
P0 = 10000 - 515
P0 = 9485 N/m²
Conversion to mm of Hg:
1 N/m² = 0.00750062 mm of Hg
P0 (in mm of Hg) = 9485 * 0.00750062
P0 ≈ 71.14 mm of Hg
Therefore, the static pressure is approximately 71.14 mm of Hg.
Summary:
- Dynamic pressure is the pressure due to the velocity of flow and is calculated using the formula q = 0.5 * ρ * V².
- Substituting the given values, the dynamic pressure is found to be 515 N/m².
- Static pressure is the difference between the total pressure and the dynamic pressure. It is calculated using the formula P0 = P - q.
- Substituting the given values, the static pressure is found to be approximately 71.14 mm of Hg.
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A certain pressure transducer measures the stagnation pressure (the total pressure). The density of the fluid is 1.03 g/cm3 and the velocity of flow is 100 cm/s. (2001)(a) Calculate the dynamic pressure (pressure due to the velocity of flow) in N/m2.(b) If the total pressure measured by the transducer is 10000 N/m2, find the static pressure in mm of Hg.Correct answer is '1.03 × 103, 74.95'. Can you explain this answer?
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A certain pressure transducer measures the stagnation pressure (the total pressure). The density of the fluid is 1.03 g/cm3 and the velocity of flow is 100 cm/s. (2001)(a) Calculate the dynamic pressure (pressure due to the velocity of flow) in N/m2.(b) If the total pressure measured by the transducer is 10000 N/m2, find the static pressure in mm of Hg.Correct answer is '1.03 × 103, 74.95'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A certain pressure transducer measures the stagnation pressure (the total pressure). The density of the fluid is 1.03 g/cm3 and the velocity of flow is 100 cm/s. (2001)(a) Calculate the dynamic pressure (pressure due to the velocity of flow) in N/m2.(b) If the total pressure measured by the transducer is 10000 N/m2, find the static pressure in mm of Hg.Correct answer is '1.03 × 103, 74.95'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain pressure transducer measures the stagnation pressure (the total pressure). The density of the fluid is 1.03 g/cm3 and the velocity of flow is 100 cm/s. (2001)(a) Calculate the dynamic pressure (pressure due to the velocity of flow) in N/m2.(b) If the total pressure measured by the transducer is 10000 N/m2, find the static pressure in mm of Hg.Correct answer is '1.03 × 103, 74.95'. Can you explain this answer?.
A certain pressure transducer measures the stagnation pressure (the total pressure). The density of the fluid is 1.03 g/cm3 and the velocity of flow is 100 cm/s. (2001)(a) Calculate the dynamic pressure (pressure due to the velocity of flow) in N/m2.(b) If the total pressure measured by the transducer is 10000 N/m2, find the static pressure in mm of Hg.Correct answer is '1.03 × 103, 74.95'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A certain pressure transducer measures the stagnation pressure (the total pressure). The density of the fluid is 1.03 g/cm3 and the velocity of flow is 100 cm/s. (2001)(a) Calculate the dynamic pressure (pressure due to the velocity of flow) in N/m2.(b) If the total pressure measured by the transducer is 10000 N/m2, find the static pressure in mm of Hg.Correct answer is '1.03 × 103, 74.95'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain pressure transducer measures the stagnation pressure (the total pressure). The density of the fluid is 1.03 g/cm3 and the velocity of flow is 100 cm/s. (2001)(a) Calculate the dynamic pressure (pressure due to the velocity of flow) in N/m2.(b) If the total pressure measured by the transducer is 10000 N/m2, find the static pressure in mm of Hg.Correct answer is '1.03 × 103, 74.95'. Can you explain this answer?.
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A certain pressure transducer measures the stagnation pressure (the total pressure). The density of the fluid is 1.03 g/cm3 and the velocity of flow is 100 cm/s. (2001)(a) Calculate the dynamic pressure (pressure due to the velocity of flow) in N/m2.(b) If the total pressure measured by the transducer is 10000 N/m2, find the static pressure in mm of Hg.Correct answer is '1.03 × 103, 74.95'. Can you explain this answer?, a detailed solution for A certain pressure transducer measures the stagnation pressure (the total pressure). The density of the fluid is 1.03 g/cm3 and the velocity of flow is 100 cm/s. (2001)(a) Calculate the dynamic pressure (pressure due to the velocity of flow) in N/m2.(b) If the total pressure measured by the transducer is 10000 N/m2, find the static pressure in mm of Hg.Correct answer is '1.03 × 103, 74.95'. Can you explain this answer? has been provided alongside types of A certain pressure transducer measures the stagnation pressure (the total pressure). The density of the fluid is 1.03 g/cm3 and the velocity of flow is 100 cm/s. (2001)(a) Calculate the dynamic pressure (pressure due to the velocity of flow) in N/m2.(b) If the total pressure measured by the transducer is 10000 N/m2, find the static pressure in mm of Hg.Correct answer is '1.03 × 103, 74.95'. Can you explain this answer? theory, EduRev gives you an
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