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2. Streak line 3. Path line Explain the condition of stability for floating and submerged body. OR A shaft of 100 mm diameter moves in a sleeve of length 350 mm at a speed of 0.4 m/s under the application of 250 N force in the direction of its motion. If the clearance between the shaft and sleeve is 0.08 mm, determine the dynamic viscosity of the lubricating oil filled in a clearance gap.?
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2. Streak line 3. Path line Explain the condition of stability for flo...
Dynamic Viscosity and Stability of Floating and Submerged Body
Dynamic Viscosity Calculation:
Given,
Diameter of shaft, d = 100 mm
Length of sleeve, L = 350 mm
Speed of shaft, V = 0.4 m/s
Force applied, F = 250 N
Clearance gap, e = 0.08 mm
We know that the force acting on the shaft is given by:
F = μA (dv/dx)
Where, μ = dynamic viscosity
A = πdL
dv/dx = V/e
Substituting the values in the above equation, we get:
μ = F(e/πdL)(dx/dv)
μ = (250 N x 0.08 mm) / (π x 100 mm x 350 mm x (1/0.4))
μ = 0.073 Pa.s
Therefore, the dynamic viscosity of the lubricating oil filled in the clearance gap is 0.073 Pa.s.
Stability of Floating and Submerged Body:
A floating body is said to be stable if it returns to its original position after being displaced. Stability of a floating body depends on its center of gravity and center of buoyancy. If the center of gravity is below the center of buoyancy, the body is stable. If the center of gravity is above the center of buoyancy, the body is unstable.
A submerged body is said to be stable if it returns to its original position after being displaced. Stability of a submerged body depends on the position of its center of gravity and the metacentric height. If the center of gravity is below the metacentric height, the body is stable. If the center of gravity is above the metacentric height, the body is unstable. The metacentric height is the distance between the center of buoyancy and the metacenter. The metacenter is the point where the line of action of the buoyant force intersects the vertical line passing through the center of buoyancy.
Dynamic Viscosity Calculation:
Given,
Diameter of shaft, d = 100 mm
Length of sleeve, L = 350 mm
Speed of shaft, V = 0.4 m/s
Force applied, F = 250 N
Clearance gap, e = 0.08 mm
We know that the force acting on the shaft is given by:
F = μA (dv/dx)
Where, μ = dynamic viscosity
A = πdL
dv/dx = V/e
Substituting the values in the above equation, we get:
μ = F(e/πdL)(dx/dv)
μ = (250 N x 0.08 mm) / (π x 100 mm x 350 mm x (1/0.4))
μ = 0.073 Pa.s
Therefore, the dynamic viscosity of the lubricating oil filled in the clearance gap is 0.073 Pa.s.
Stability of Floating and Submerged Body:
A floating body is said to be stable if it returns to its original position after being displaced. Stability of a floating body depends on its center of gravity and center of buoyancy. If the center of gravity is below the center of buoyancy, the body is stable. If the center of gravity is above the center of buoyancy, the body is unstable.
A submerged body is said to be stable if it returns to its original position after being displaced. Stability of a submerged body depends on the position of its center of gravity and the metacentric height. If the center of gravity is below the metacentric height, the body is stable. If the center of gravity is above the metacentric height, the body is unstable. The metacentric height is the distance between the center of buoyancy and the metacenter. The metacenter is the point where the line of action of the buoyant force intersects the vertical line passing through the center of buoyancy.
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2. Streak line 3. Path line Explain the condition of stability for floating and submerged body. OR A shaft of 100 mm diameter moves in a sleeve of length 350 mm at a speed of 0.4 m/s under the application of 250 N force in the direction of its motion. If the clearance between the shaft and sleeve is 0.08 mm, determine the dynamic viscosity of the lubricating oil filled in a clearance gap.?
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2. Streak line 3. Path line Explain the condition of stability for floating and submerged body. OR A shaft of 100 mm diameter moves in a sleeve of length 350 mm at a speed of 0.4 m/s under the application of 250 N force in the direction of its motion. If the clearance between the shaft and sleeve is 0.08 mm, determine the dynamic viscosity of the lubricating oil filled in a clearance gap.? 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 2. Streak line 3. Path line Explain the condition of stability for floating and submerged body. OR A shaft of 100 mm diameter moves in a sleeve of length 350 mm at a speed of 0.4 m/s under the application of 250 N force in the direction of its motion. If the clearance between the shaft and sleeve is 0.08 mm, determine the dynamic viscosity of the lubricating oil filled in a clearance gap.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2. Streak line 3. Path line Explain the condition of stability for floating and submerged body. OR A shaft of 100 mm diameter moves in a sleeve of length 350 mm at a speed of 0.4 m/s under the application of 250 N force in the direction of its motion. If the clearance between the shaft and sleeve is 0.08 mm, determine the dynamic viscosity of the lubricating oil filled in a clearance gap.?.
2. Streak line 3. Path line Explain the condition of stability for floating and submerged body. OR A shaft of 100 mm diameter moves in a sleeve of length 350 mm at a speed of 0.4 m/s under the application of 250 N force in the direction of its motion. If the clearance between the shaft and sleeve is 0.08 mm, determine the dynamic viscosity of the lubricating oil filled in a clearance gap.? 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 2. Streak line 3. Path line Explain the condition of stability for floating and submerged body. OR A shaft of 100 mm diameter moves in a sleeve of length 350 mm at a speed of 0.4 m/s under the application of 250 N force in the direction of its motion. If the clearance between the shaft and sleeve is 0.08 mm, determine the dynamic viscosity of the lubricating oil filled in a clearance gap.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2. Streak line 3. Path line Explain the condition of stability for floating and submerged body. OR A shaft of 100 mm diameter moves in a sleeve of length 350 mm at a speed of 0.4 m/s under the application of 250 N force in the direction of its motion. If the clearance between the shaft and sleeve is 0.08 mm, determine the dynamic viscosity of the lubricating oil filled in a clearance gap.?.
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2. Streak line 3. Path line Explain the condition of stability for floating and submerged body. OR A shaft of 100 mm diameter moves in a sleeve of length 350 mm at a speed of 0.4 m/s under the application of 250 N force in the direction of its motion. If the clearance between the shaft and sleeve is 0.08 mm, determine the dynamic viscosity of the lubricating oil filled in a clearance gap.?, a detailed solution for 2. Streak line 3. Path line Explain the condition of stability for floating and submerged body. OR A shaft of 100 mm diameter moves in a sleeve of length 350 mm at a speed of 0.4 m/s under the application of 250 N force in the direction of its motion. If the clearance between the shaft and sleeve is 0.08 mm, determine the dynamic viscosity of the lubricating oil filled in a clearance gap.? has been provided alongside types of 2. Streak line 3. Path line Explain the condition of stability for floating and submerged body. OR A shaft of 100 mm diameter moves in a sleeve of length 350 mm at a speed of 0.4 m/s under the application of 250 N force in the direction of its motion. If the clearance between the shaft and sleeve is 0.08 mm, determine the dynamic viscosity of the lubricating oil filled in a clearance gap.? theory, EduRev gives you an
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