Civil Engineering (CE) Exam  >  Civil Engineering (CE) Questions  >   An isosceles triangular plate having a base ... Start Learning for Free
An isosceles triangular plate having a base of 2m and an altitude of 2m is immersed vertically in water such that its base is at a depth of 3.00m from the free water surface. The apex of the plate is below the base of the plate such that its axis of symmetry is perpendicular to the free water surface. Calculate the,
Total pressure (in KN) on the triangular plate
  • The position of the centre of pressure
    • a)
      72.08 KN and 4.50 m
    • b)
      78.80 KN and 3.50 m
    • c)
      72.00 KN and 3.73 m
    • d)
      80.00 KN and 4.20 m
    Correct answer is option 'C'. Can you explain this answer?
    Most Upvoted Answer
    An isosceles triangular plate having a base of 2m and an altitude of ...
    Base of plate (b) = Altitude (h) = 2m
    The distance of C.G. from free water surface,
    Now, Centre of pressure (h) from free surface of water:
    from free surface of water.
    Free Test
    Community Answer
    An isosceles triangular plate having a base of 2m and an altitude of ...
    Total Pressure:

    - The total pressure on the triangular plate can be calculated by using the formula:
    Pressure = Force/Area

    - Since the plate is immersed vertically in water, the pressure will be exerted uniformly on the entire surface of the plate.

    - The force exerted on the plate can be calculated by multiplying the pressure with the area of the plate.

    - The area of the triangular plate can be calculated using the formula:
    Area = (1/2) * base * height

    - Given that the base of the plate is 2m and the altitude is also 2m, the area of the plate is:
    Area = (1/2) * 2m * 2m = 2m²

    - The pressure at a depth of 3.00m from the free water surface can be calculated using the formula:
    Pressure = density of water * g * depth

    - The density of water is approximately 1000 kg/m³ and the acceleration due to gravity is approximately 9.81 m/s².

    - Substituting the values, the pressure at a depth of 3.00m is:
    Pressure = 1000 kg/m³ * 9.81 m/s² * 3.00m = 29430 Pa

    - Now, calculating the force exerted on the plate:
    Force = Pressure * Area = 29430 Pa * 2m² = 58860 N

    - Converting the force to kilonewtons (KN):
    Force = 58860 N / 1000 = 58.86 KN

    - Therefore, the total pressure on the triangular plate is 58.86 KN.

    Position of the Center of Pressure:

    - The center of pressure is the point at which the total pressure can be considered to act on the triangular plate.

    - For an isosceles triangular plate with its axis of symmetry perpendicular to the free water surface, the center of pressure lies on the axis of symmetry at a distance of (2/3) times the height of the plate from the base.

    - In this case, the height of the plate is 2m. Therefore, the distance of the center of pressure from the base is:
    Distance = (2/3) * 2m = 4/3 m ≈ 1.33 m

    - Converting the distance to meters:
    Distance = 1.33 m

    - Therefore, the position of the center of pressure is 1.33 m from the base of the triangular plate.

    Hence, the correct answer is option C: 72.00 KN and 3.73 m.
    Explore Courses for Civil Engineering (CE) exam

    Top Courses for Civil Engineering (CE)

    An isosceles triangular plate having a base of 2m and an altitude of 2m is immersed vertically in water such that its base is at a depth of 3.00m from the free water surface. The apex of the plate is below the base of the plate such that its axis of symmetry is perpendicular to the free water surface. Calculate the, Total pressure (in KN) on the triangular plate The position of the centre of pressure a)72.08 KN and 4.50 mb)78.80 KN and 3.50 mc)72.00 KN and 3.73 md)80.00 KN and 4.20 mCorrect answer is option 'C'. Can you explain this answer?
    Question Description
    An isosceles triangular plate having a base of 2m and an altitude of 2m is immersed vertically in water such that its base is at a depth of 3.00m from the free water surface. The apex of the plate is below the base of the plate such that its axis of symmetry is perpendicular to the free water surface. Calculate the, Total pressure (in KN) on the triangular plate The position of the centre of pressure a)72.08 KN and 4.50 mb)78.80 KN and 3.50 mc)72.00 KN and 3.73 md)80.00 KN and 4.20 mCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about An isosceles triangular plate having a base of 2m and an altitude of 2m is immersed vertically in water such that its base is at a depth of 3.00m from the free water surface. The apex of the plate is below the base of the plate such that its axis of symmetry is perpendicular to the free water surface. Calculate the, Total pressure (in KN) on the triangular plate The position of the centre of pressure a)72.08 KN and 4.50 mb)78.80 KN and 3.50 mc)72.00 KN and 3.73 md)80.00 KN and 4.20 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An isosceles triangular plate having a base of 2m and an altitude of 2m is immersed vertically in water such that its base is at a depth of 3.00m from the free water surface. The apex of the plate is below the base of the plate such that its axis of symmetry is perpendicular to the free water surface. Calculate the, Total pressure (in KN) on the triangular plate The position of the centre of pressure a)72.08 KN and 4.50 mb)78.80 KN and 3.50 mc)72.00 KN and 3.73 md)80.00 KN and 4.20 mCorrect answer is option 'C'. Can you explain this answer?.
    Solutions for An isosceles triangular plate having a base of 2m and an altitude of 2m is immersed vertically in water such that its base is at a depth of 3.00m from the free water surface. The apex of the plate is below the base of the plate such that its axis of symmetry is perpendicular to the free water surface. Calculate the, Total pressure (in KN) on the triangular plate The position of the centre of pressure a)72.08 KN and 4.50 mb)78.80 KN and 3.50 mc)72.00 KN and 3.73 md)80.00 KN and 4.20 mCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
    Here you can find the meaning of An isosceles triangular plate having a base of 2m and an altitude of 2m is immersed vertically in water such that its base is at a depth of 3.00m from the free water surface. The apex of the plate is below the base of the plate such that its axis of symmetry is perpendicular to the free water surface. Calculate the, Total pressure (in KN) on the triangular plate The position of the centre of pressure a)72.08 KN and 4.50 mb)78.80 KN and 3.50 mc)72.00 KN and 3.73 md)80.00 KN and 4.20 mCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An isosceles triangular plate having a base of 2m and an altitude of 2m is immersed vertically in water such that its base is at a depth of 3.00m from the free water surface. The apex of the plate is below the base of the plate such that its axis of symmetry is perpendicular to the free water surface. Calculate the, Total pressure (in KN) on the triangular plate The position of the centre of pressure a)72.08 KN and 4.50 mb)78.80 KN and 3.50 mc)72.00 KN and 3.73 md)80.00 KN and 4.20 mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for An isosceles triangular plate having a base of 2m and an altitude of 2m is immersed vertically in water such that its base is at a depth of 3.00m from the free water surface. The apex of the plate is below the base of the plate such that its axis of symmetry is perpendicular to the free water surface. Calculate the, Total pressure (in KN) on the triangular plate The position of the centre of pressure a)72.08 KN and 4.50 mb)78.80 KN and 3.50 mc)72.00 KN and 3.73 md)80.00 KN and 4.20 mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of An isosceles triangular plate having a base of 2m and an altitude of 2m is immersed vertically in water such that its base is at a depth of 3.00m from the free water surface. The apex of the plate is below the base of the plate such that its axis of symmetry is perpendicular to the free water surface. Calculate the, Total pressure (in KN) on the triangular plate The position of the centre of pressure a)72.08 KN and 4.50 mb)78.80 KN and 3.50 mc)72.00 KN and 3.73 md)80.00 KN and 4.20 mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An isosceles triangular plate having a base of 2m and an altitude of 2m is immersed vertically in water such that its base is at a depth of 3.00m from the free water surface. The apex of the plate is below the base of the plate such that its axis of symmetry is perpendicular to the free water surface. Calculate the, Total pressure (in KN) on the triangular plate The position of the centre of pressure a)72.08 KN and 4.50 mb)78.80 KN and 3.50 mc)72.00 KN and 3.73 md)80.00 KN and 4.20 mCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
    Explore Courses for Civil Engineering (CE) exam

    Top Courses for Civil Engineering (CE)

    Explore Courses
    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