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Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two immiscible liquids (S1 = 1.2, S3 = 1.4), equal amount of each are poured into the container. Find the hydrostatic force on any of the side surfaces of the container and the depth of corresponding center of pressure.
  • a)
    59 N and 13.46 cm from bottom
  • b)
    49 N and 13.46 cm from top
  • c)
    59 N and 13.46 cm from bottom
  • d)
    49 N and 13.46 cm from bottom
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two imm...
The pressure diagram on any side of the tank will be
Using the concept of pressure prism, the total force is equal to total volume of the pressure prism.
i.e. volume (a + b + c)
Fp = ρ1g × h /4 × ( h/ 2× 0.20) + ρ2g × h /4 (h/ 2 × 0.20) +ρ1g h /2× (h/ 2× 0.20)
Fp = (1.2 + 1.4 + 2.4)g = 49.05 N
To calculate the center of pressure Fp × yP = Moment due to a + Moment of b +Moment of c
Fp × yP = (1.2 × g × 2 /3×h/ 2) + (1.4 × g × [ 2/3×h/ 2+h/ 2]) + (2.4g × [ h /2+0/h 4])
All distances measured from free surface 49.05 × yP = 0.7848 + 2.289 + 3.5316 yP = 0.134 m = 13.46 cm from top.
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Most Upvoted Answer
Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two imm...
The pressure diagram on any side of the tank will be
Using the concept of pressure prism, the total force is equal to total volume of the pressure prism.
i.e. volume (a + b + c)
Fp = ρ1g × h /4 × ( h/ 2× 0.20) + ρ2g × h /4 (h/ 2 × 0.20) +ρ1g h /2× (h/ 2× 0.20)
Fp = (1.2 + 1.4 + 2.4)g = 49.05 N
To calculate the center of pressure Fp × yP = Moment due to a + Moment of b +Moment of c
Fp × yP = (1.2 × g × 2 /3×h/ 2) + (1.4 × g × [ 2/3×h/ 2+h/ 2]) + (2.4g × [ h /2+0/h 4])
All distances measured from free surface 49.05 × yP = 0.7848 + 2.289 + 3.5316 yP = 0.134 m = 13.46 cm from top.
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Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two immiscible liquids (S1 = 1.2, S3 = 1.4), equal amount of each are poured into the container. Find the hydrostatic force on any of the side surfaces of the container and the depth of corresponding center of pressure.a) 59 N and 13.46 cm from bottomb) 49 N and 13.46 cm from topc) 59 N and 13.46 cm from bottomd) 49 N and 13.46 cm from bottomCorrect answer is option 'B'. Can you explain this answer?
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Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two immiscible liquids (S1 = 1.2, S3 = 1.4), equal amount of each are poured into the container. Find the hydrostatic force on any of the side surfaces of the container and the depth of corresponding center of pressure.a) 59 N and 13.46 cm from bottomb) 49 N and 13.46 cm from topc) 59 N and 13.46 cm from bottomd) 49 N and 13.46 cm from bottomCorrect answer is option 'B'. 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 Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two immiscible liquids (S1 = 1.2, S3 = 1.4), equal amount of each are poured into the container. Find the hydrostatic force on any of the side surfaces of the container and the depth of corresponding center of pressure.a) 59 N and 13.46 cm from bottomb) 49 N and 13.46 cm from topc) 59 N and 13.46 cm from bottomd) 49 N and 13.46 cm from bottomCorrect answer is option 'B'. 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 Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two immiscible liquids (S1 = 1.2, S3 = 1.4), equal amount of each are poured into the container. Find the hydrostatic force on any of the side surfaces of the container and the depth of corresponding center of pressure.a) 59 N and 13.46 cm from bottomb) 49 N and 13.46 cm from topc) 59 N and 13.46 cm from bottomd) 49 N and 13.46 cm from bottomCorrect answer is option 'B'. Can you explain this answer?.
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Here you can find the meaning of Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two immiscible liquids (S1 = 1.2, S3 = 1.4), equal amount of each are poured into the container. Find the hydrostatic force on any of the side surfaces of the container and the depth of corresponding center of pressure.a) 59 N and 13.46 cm from bottomb) 49 N and 13.46 cm from topc) 59 N and 13.46 cm from bottomd) 49 N and 13.46 cm from bottomCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two immiscible liquids (S1 = 1.2, S3 = 1.4), equal amount of each are poured into the container. Find the hydrostatic force on any of the side surfaces of the container and the depth of corresponding center of pressure.a) 59 N and 13.46 cm from bottomb) 49 N and 13.46 cm from topc) 59 N and 13.46 cm from bottomd) 49 N and 13.46 cm from bottomCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two immiscible liquids (S1 = 1.2, S3 = 1.4), equal amount of each are poured into the container. Find the hydrostatic force on any of the side surfaces of the container and the depth of corresponding center of pressure.a) 59 N and 13.46 cm from bottomb) 49 N and 13.46 cm from topc) 59 N and 13.46 cm from bottomd) 49 N and 13.46 cm from bottomCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two immiscible liquids (S1 = 1.2, S3 = 1.4), equal amount of each are poured into the container. Find the hydrostatic force on any of the side surfaces of the container and the depth of corresponding center of pressure.a) 59 N and 13.46 cm from bottomb) 49 N and 13.46 cm from topc) 59 N and 13.46 cm from bottomd) 49 N and 13.46 cm from bottomCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider a cuboidal tank of dimensions 20 cm × 20 cm × 20 cm. Two immiscible liquids (S1 = 1.2, S3 = 1.4), equal amount of each are poured into the container. Find the hydrostatic force on any of the side surfaces of the container and the depth of corresponding center of pressure.a) 59 N and 13.46 cm from bottomb) 49 N and 13.46 cm from topc) 59 N and 13.46 cm from bottomd) 49 N and 13.46 cm from bottomCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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