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When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressure
- a)varies as the square of the inverse of radial distance
- b)decreases as the square of angular velocity
- c)increases as the square of angular velocity
- d)remains same
Correct answer is option 'C'. Can you explain this answer?
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When a cylindrical vessel containing a liquid is revolved at constant ...
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Explanation:
When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressure increases as the square of angular velocity. This is because of the centrifugal force generated due to the circular motion of the liquid.
The centrifugal force acts perpendicular to the axis of rotation and is proportional to the square of the angular velocity. As the angular velocity increases, the centrifugal force also increases, leading to an increase in pressure.
The pressure at any point in the liquid can be calculated using the Bernoulli's principle. According to this principle, the pressure in a fluid decreases as the velocity of the fluid increases. In the case of a rotating cylinder, the velocity of the liquid is maximum at the outer edge and minimum at the center.
Therefore, the pressure at the outer edge is lower than the pressure at the center. The difference in pressure is due to the centrifugal force acting on the liquid. As the angular velocity increases, the centrifugal force also increases, leading to an increase in pressure difference.
The pressure difference is directly proportional to the radial distance from the axis of rotation. Therefore, the pressure increases as the square of the radial distance.
Conclusion:
Hence, we can conclude that when a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressure increases as the square of the angular velocity.
When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressure increases as the square of angular velocity. This is because of the centrifugal force generated due to the circular motion of the liquid.
The centrifugal force acts perpendicular to the axis of rotation and is proportional to the square of the angular velocity. As the angular velocity increases, the centrifugal force also increases, leading to an increase in pressure.
The pressure at any point in the liquid can be calculated using the Bernoulli's principle. According to this principle, the pressure in a fluid decreases as the velocity of the fluid increases. In the case of a rotating cylinder, the velocity of the liquid is maximum at the outer edge and minimum at the center.
Therefore, the pressure at the outer edge is lower than the pressure at the center. The difference in pressure is due to the centrifugal force acting on the liquid. As the angular velocity increases, the centrifugal force also increases, leading to an increase in pressure difference.
The pressure difference is directly proportional to the radial distance from the axis of rotation. Therefore, the pressure increases as the square of the radial distance.
Conclusion:
Hence, we can conclude that when a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressure increases as the square of the angular velocity.
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When a cylindrical vessel containing a liquid is revolved at constant ...
This is forced vortex flow...i.e. kinetic energy of fluid.. p = V2/2g....pressure is directly proportional to square of velocity
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When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressurea)varies as the square of the inverse of radial distanceb)decreases as the square of angular velocityc)increases as the square of angular velocityd)remains sameCorrect answer is option 'C'. Can you explain this answer?
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When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressurea)varies as the square of the inverse of radial distanceb)decreases as the square of angular velocityc)increases as the square of angular velocityd)remains sameCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressurea)varies as the square of the inverse of radial distanceb)decreases as the square of angular velocityc)increases as the square of angular velocityd)remains sameCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressurea)varies as the square of the inverse of radial distanceb)decreases as the square of angular velocityc)increases as the square of angular velocityd)remains sameCorrect answer is option 'C'. Can you explain this answer?.
When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressurea)varies as the square of the inverse of radial distanceb)decreases as the square of angular velocityc)increases as the square of angular velocityd)remains sameCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressurea)varies as the square of the inverse of radial distanceb)decreases as the square of angular velocityc)increases as the square of angular velocityd)remains sameCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressurea)varies as the square of the inverse of radial distanceb)decreases as the square of angular velocityc)increases as the square of angular velocityd)remains sameCorrect answer is option 'C'. Can you explain this answer?.
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When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressurea)varies as the square of the inverse of radial distanceb)decreases as the square of angular velocityc)increases as the square of angular velocityd)remains sameCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressurea)varies as the square of the inverse of radial distanceb)decreases as the square of angular velocityc)increases as the square of angular velocityd)remains sameCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of When a cylindrical vessel containing a liquid is revolved at constant angular velocity about its vertical axis, the pressurea)varies as the square of the inverse of radial distanceb)decreases as the square of angular velocityc)increases as the square of angular velocityd)remains sameCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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