GATE Exam > GATE Questions > A certain pressure transducer measures the s...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A certain pressure transducer measures the stagnation pressure (the t...
Static pressure = rgh
View all questions of this test
(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.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning 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? defined & explained in the simplest way possible. Besides giving the explanation 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?, 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
ample number of questions to practice 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? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup