GATE Exam  >  GATE Questions  >  In a steady and incompressible flow of a flui... Start Learning for Free
In a steady and incompressible flow of a fluid (density = 1.25 kg m-3), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density = 13600 kg m-3). Considering gravitational acceleration as 10 m s-2, the fluid speed (in m s-1) is ______________
    Correct answer is between '79,82'. Can you explain this answer?
    Verified Answer
    In a steady and incompressible flow of a fluid (density = 1.25 kg m-3)...
    View all questions of this test
    Most Upvoted Answer
    In a steady and incompressible flow of a fluid (density = 1.25 kg m-3)...
    Given:
    - Density of fluid (ρ) = 1.25 kg/m³
    - Difference between stagnation and static pressures (ΔP) = 30 mmHg = 30 mm * 13.6 kg/m³ * 10 m/s² = 4080 kg/m²
    - Gravitational acceleration (g) = 10 m/s²

    To find:
    Fluid speed (V)

    Assumptions:
    - Steady flow
    - Incompressible flow

    Explanation:
    The difference between stagnation and static pressure at the same location in the flow is given by the Bernoulli's equation:

    ΔP = ρ * g * Δh + 0.5 * ρ * V²

    Where:
    - ΔP is the pressure difference
    - ρ is the density of the fluid
    - g is the gravitational acceleration
    - Δh is the difference in elevation (which is neglected in this case)
    - V is the fluid speed

    Solving the equation:
    We can rearrange the equation to solve for V:

    ΔP = 0.5 * ρ * V²

    V² = (2 * ΔP) / ρ

    V = sqrt((2 * ΔP) / ρ)

    Substituting the given values:

    V = sqrt((2 * 4080) / 1.25)
    = sqrt(6528)
    ≈ 80.79 m/s

    Conclusion:
    The fluid speed is approximately 80.79 m/s. Since the correct answer is between 79 and 82 m/s, the calculated value falls within this range.
    Explore Courses for GATE exam

    Similar GATE Doubts

    In a steady and incompressible flow of a fluid (density = 1.25 kg m-3), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density = 13600 kg m-3). Considering gravitational acceleration as 10 m s-2, the fluid speed (in m s-1) is ______________Correct answer is between '79,82'. Can you explain this answer?
    Question Description
    In a steady and incompressible flow of a fluid (density = 1.25 kg m-3), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density = 13600 kg m-3). Considering gravitational acceleration as 10 m s-2, the fluid speed (in m s-1) is ______________Correct answer is between '79,82'. 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 In a steady and incompressible flow of a fluid (density = 1.25 kg m-3), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density = 13600 kg m-3). Considering gravitational acceleration as 10 m s-2, the fluid speed (in m s-1) is ______________Correct answer is between '79,82'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a steady and incompressible flow of a fluid (density = 1.25 kg m-3), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density = 13600 kg m-3). Considering gravitational acceleration as 10 m s-2, the fluid speed (in m s-1) is ______________Correct answer is between '79,82'. Can you explain this answer?.
    Solutions for In a steady and incompressible flow of a fluid (density = 1.25 kg m-3), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density = 13600 kg m-3). Considering gravitational acceleration as 10 m s-2, the fluid speed (in m s-1) is ______________Correct answer is between '79,82'. 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 In a steady and incompressible flow of a fluid (density = 1.25 kg m-3), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density = 13600 kg m-3). Considering gravitational acceleration as 10 m s-2, the fluid speed (in m s-1) is ______________Correct answer is between '79,82'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a steady and incompressible flow of a fluid (density = 1.25 kg m-3), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density = 13600 kg m-3). Considering gravitational acceleration as 10 m s-2, the fluid speed (in m s-1) is ______________Correct answer is between '79,82'. Can you explain this answer?, a detailed solution for In a steady and incompressible flow of a fluid (density = 1.25 kg m-3), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density = 13600 kg m-3). Considering gravitational acceleration as 10 m s-2, the fluid speed (in m s-1) is ______________Correct answer is between '79,82'. Can you explain this answer? has been provided alongside types of In a steady and incompressible flow of a fluid (density = 1.25 kg m-3), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density = 13600 kg m-3). Considering gravitational acceleration as 10 m s-2, the fluid speed (in m s-1) is ______________Correct answer is between '79,82'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a steady and incompressible flow of a fluid (density = 1.25 kg m-3), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density = 13600 kg m-3). Considering gravitational acceleration as 10 m s-2, the fluid speed (in m s-1) is ______________Correct answer is between '79,82'. 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.
    10M+ students study on EduRev