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A vertical gap 23.5mm wide of infinite extent contains oil of specific gravity 0.9 and viscosity 2.5 N-s/m2.Ametal plate 1.5m*1.5m*1.5mm weighing 50 N is to be lifted through the gap at a constant speed of 0.1 m/sec.Estimate the force (N) required to lift the plate.?
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A vertical gap 23.5mm wide of infinite extent contains oil of specific...
Calculation of Force Required to Lift the Plate

  • Given, vertical gap width = 23.5 mm = 0.0235 m

  • Specific gravity of oil = 0.9

  • Viscosity of oil = 2.5 N-s/m2

  • Plate dimensions = 1.5 m * 1.5 m * 0.0015 m

  • Plate weight = 50 N

  • Lifting speed = 0.1 m/sec

  • Assuming the plate moves with constant velocity, the net force acting on the plate must be zero.

  • The force required to lift the plate is equal to the force exerted by the oil on the plate.

  • The force exerted by the oil on the plate is equal to the weight of the displaced oil.

  • The weight of the displaced oil can be calculated as the difference between the weight of the oil displaced by the plate and the weight of the oil below the plate.

  • The weight of the oil displaced by the plate can be calculated using the formula:

    • Volume of oil displaced = area of plate * gap width

    • Weight of oil displaced = volume of oil displaced * specific gravity of oil



  • The weight of the oil below the plate can be calculated using the formula:

    • Weight of oil below plate = density of oil * volume of oil below plate



  • The volume of oil below the plate can be calculated as:

    • Volume of oil below plate = area of plate * thickness of oil below plate



  • The thickness of oil below the plate can be calculated using the formula:

    • Flow rate of oil = area of gap * velocity of plate * viscosity of oil / gap width

    • Thickness of oil below plate = Flow rate of oil / area of plate



  • Finally, the force required to lift the plate can be calculated as:

    • Force required = Weight of oil displaced - Weight of oil below plate



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A vertical gap 23.5mm wide of infinite extent contains oil of specific gravity 0.9 and viscosity 2.5 N-s/m2.Ametal plate 1.5m*1.5m*1.5mm weighing 50 N is to be lifted through the gap at a constant speed of 0.1 m/sec.Estimate the force (N) required to lift the plate.?
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A vertical gap 23.5mm wide of infinite extent contains oil of specific gravity 0.9 and viscosity 2.5 N-s/m2.Ametal plate 1.5m*1.5m*1.5mm weighing 50 N is to be lifted through the gap at a constant speed of 0.1 m/sec.Estimate the force (N) required to lift the plate.? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A vertical gap 23.5mm wide of infinite extent contains oil of specific gravity 0.9 and viscosity 2.5 N-s/m2.Ametal plate 1.5m*1.5m*1.5mm weighing 50 N is to be lifted through the gap at a constant speed of 0.1 m/sec.Estimate the force (N) required to lift the plate.? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vertical gap 23.5mm wide of infinite extent contains oil of specific gravity 0.9 and viscosity 2.5 N-s/m2.Ametal plate 1.5m*1.5m*1.5mm weighing 50 N is to be lifted through the gap at a constant speed of 0.1 m/sec.Estimate the force (N) required to lift the plate.?.
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