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A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of 0.9 kN is applied to the shaft parallel to the sleeve, the shaft attains a speed of 1.25 cm/s. What will be the speed of the shaft if a force of 3 kN is applied?
- a)4.16 cm/s
- b)5.19 cm/s
- c)5.26 cm/s
- d)6.32 cm/s
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A Newtonian fluid fills the clearance between a shaft and a sleeve. Wh...
Concept:
From Newton's law of viscosity
We know that
F = τ × A
Calculation:
Given: F2 = 3 kN, F1 = 0.9 kN, u1 =1.25 cm/s
∴ u2 = 4.166 cm/s
From Newton's law of viscosity
We know that
F = τ × A
Calculation:
Given: F2 = 3 kN, F1 = 0.9 kN, u1 =1.25 cm/s
∴ u2 = 4.166 cm/s
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Community Answer
A Newtonian fluid fills the clearance between a shaft and a sleeve. Wh...
Given information:
- Force applied to the shaft parallel to the sleeve: 0.9 kN
- Speed of the shaft when the force is applied: 1.25 cm/s
To find:
- Speed of the shaft when a force of 3 kN is applied
We can use the concept of viscosity to solve this problem. Viscosity is a measure of a fluid's resistance to flow. In this case, the Newtonian fluid filling the clearance between the shaft and sleeve behaves like a Newtonian fluid, which means it has a constant viscosity.
The relationship between force (F), velocity (v), and viscosity (η) is given by the equation:
F = η * A * (dv/dx)
Where:
- F is the force applied
- η is the viscosity of the fluid
- A is the cross-sectional area of the clearance between the shaft and sleeve
- dv/dx is the velocity gradient
Since the force and viscosity remain constant, we can assume that the ratio of force to velocity gradient is constant for different forces. Therefore, we can set up the following equation:
F1 / (dv1/dx) = F2 / (dv2/dx)
Where:
- F1 is the initial force (0.9 kN)
- F2 is the new force (3 kN)
- dv1/dx is the initial velocity gradient (1.25 cm/s)
- dv2/dx is the new velocity gradient (to be determined)
Now, let's solve for dv2/dx:
F1 / (dv1/dx) = F2 / (dv2/dx)
0.9 / (1.25) = 3 / (dv2/dx)
(0.9 * dv2/dx) = (3 * 1.25)
0.9 * dv2/dx = 3.75
dv2/dx = 3.75 / 0.9
dv2/dx = 4.17 cm/s
Therefore, the speed of the shaft when a force of 3 kN is applied is approximately 4.17 cm/s.
- Force applied to the shaft parallel to the sleeve: 0.9 kN
- Speed of the shaft when the force is applied: 1.25 cm/s
To find:
- Speed of the shaft when a force of 3 kN is applied
We can use the concept of viscosity to solve this problem. Viscosity is a measure of a fluid's resistance to flow. In this case, the Newtonian fluid filling the clearance between the shaft and sleeve behaves like a Newtonian fluid, which means it has a constant viscosity.
The relationship between force (F), velocity (v), and viscosity (η) is given by the equation:
F = η * A * (dv/dx)
Where:
- F is the force applied
- η is the viscosity of the fluid
- A is the cross-sectional area of the clearance between the shaft and sleeve
- dv/dx is the velocity gradient
Since the force and viscosity remain constant, we can assume that the ratio of force to velocity gradient is constant for different forces. Therefore, we can set up the following equation:
F1 / (dv1/dx) = F2 / (dv2/dx)
Where:
- F1 is the initial force (0.9 kN)
- F2 is the new force (3 kN)
- dv1/dx is the initial velocity gradient (1.25 cm/s)
- dv2/dx is the new velocity gradient (to be determined)
Now, let's solve for dv2/dx:
F1 / (dv1/dx) = F2 / (dv2/dx)
0.9 / (1.25) = 3 / (dv2/dx)
(0.9 * dv2/dx) = (3 * 1.25)
0.9 * dv2/dx = 3.75
dv2/dx = 3.75 / 0.9
dv2/dx = 4.17 cm/s
Therefore, the speed of the shaft when a force of 3 kN is applied is approximately 4.17 cm/s.
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A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of 0.9 kN is applied to the shaft parallel to the sleeve, the shaft attains a speed of 1.25 cm/s. What will be the speed of the shaft if a force of 3 kN is applied?a)4.16 cm/sb)5.19 cm/sc)5.26 cm/sd)6.32 cm/sCorrect answer is option 'A'. Can you explain this answer?
Question Description
A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of 0.9 kN is applied to the shaft parallel to the sleeve, the shaft attains a speed of 1.25 cm/s. What will be the speed of the shaft if a force of 3 kN is applied?a)4.16 cm/sb)5.19 cm/sc)5.26 cm/sd)6.32 cm/sCorrect answer is option 'A'. 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 A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of 0.9 kN is applied to the shaft parallel to the sleeve, the shaft attains a speed of 1.25 cm/s. What will be the speed of the shaft if a force of 3 kN is applied?a)4.16 cm/sb)5.19 cm/sc)5.26 cm/sd)6.32 cm/sCorrect answer is option 'A'. 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 A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of 0.9 kN is applied to the shaft parallel to the sleeve, the shaft attains a speed of 1.25 cm/s. What will be the speed of the shaft if a force of 3 kN is applied?a)4.16 cm/sb)5.19 cm/sc)5.26 cm/sd)6.32 cm/sCorrect answer is option 'A'. Can you explain this answer?.
A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of 0.9 kN is applied to the shaft parallel to the sleeve, the shaft attains a speed of 1.25 cm/s. What will be the speed of the shaft if a force of 3 kN is applied?a)4.16 cm/sb)5.19 cm/sc)5.26 cm/sd)6.32 cm/sCorrect answer is option 'A'. 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 A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of 0.9 kN is applied to the shaft parallel to the sleeve, the shaft attains a speed of 1.25 cm/s. What will be the speed of the shaft if a force of 3 kN is applied?a)4.16 cm/sb)5.19 cm/sc)5.26 cm/sd)6.32 cm/sCorrect answer is option 'A'. 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 A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of 0.9 kN is applied to the shaft parallel to the sleeve, the shaft attains a speed of 1.25 cm/s. What will be the speed of the shaft if a force of 3 kN is applied?a)4.16 cm/sb)5.19 cm/sc)5.26 cm/sd)6.32 cm/sCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of 0.9 kN is applied to the shaft parallel to the sleeve, the shaft attains a speed of 1.25 cm/s. What will be the speed of the shaft if a force of 3 kN is applied?a)4.16 cm/sb)5.19 cm/sc)5.26 cm/sd)6.32 cm/sCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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