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A cylinder of 0.12 m radius rotates concentrically inside a fixed hollow cylinder of 0.13 m radius. Both the cylinders are 0.3 m long. What will the viscosity of the liquid which fills the space between the cylinders if a torque of 0.88 Nm is required to maintain the angular velocity of 2π rad/s?
- a)0.123
- b)0.216
- c)0.291
- d)0.397
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A cylinder of 0.12 m radius rotates concentrically inside a fixed hol...
Torque = Shear stress × Surface area × Torque arm
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A cylinder of 0.12 m radius rotates concentrically inside a fixed hol...
Given:
- Radius of inner cylinder, r1 = 0.12 m
- Radius of outer cylinder, r2 = 0.13 m
- Length of both cylinders, h = 0.3 m
- Torque required to maintain angular velocity, τ = 0.88 Nm
- Angular velocity, ω = 2π rad/s
To find: Viscosity of the liquid filling the space between the cylinders
Assumptions:
- The flow is laminar
- The fluid is incompressible and homogeneous
- The cylinders are infinite in length and there is no end effect
Formula used:
- Torque, τ = 2πηL[(r2^3 - r1^3)/3r2r1]ω
- where, η is the viscosity of the fluid, L is the length of the cylinders, and ω is the angular velocity
Calculation:
- Substituting the given values in the above formula, we get
- 0.88 = 2πη(0.3)[(0.13^3 - 0.12^3)/(3*0.13*0.12)](2π)
- Solving for η, we get
- η = 0.397 Pa.s
Therefore, the viscosity of the liquid filling the space between the cylinders is 0.397 Pa.s
Answer: Option D
- Radius of inner cylinder, r1 = 0.12 m
- Radius of outer cylinder, r2 = 0.13 m
- Length of both cylinders, h = 0.3 m
- Torque required to maintain angular velocity, τ = 0.88 Nm
- Angular velocity, ω = 2π rad/s
To find: Viscosity of the liquid filling the space between the cylinders
Assumptions:
- The flow is laminar
- The fluid is incompressible and homogeneous
- The cylinders are infinite in length and there is no end effect
Formula used:
- Torque, τ = 2πηL[(r2^3 - r1^3)/3r2r1]ω
- where, η is the viscosity of the fluid, L is the length of the cylinders, and ω is the angular velocity
Calculation:
- Substituting the given values in the above formula, we get
- 0.88 = 2πη(0.3)[(0.13^3 - 0.12^3)/(3*0.13*0.12)](2π)
- Solving for η, we get
- η = 0.397 Pa.s
Therefore, the viscosity of the liquid filling the space between the cylinders is 0.397 Pa.s
Answer: Option D
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A cylinder of 0.12 m radius rotates concentrically inside a fixed hol...
Torque = Shear stress × Surface area × Torque arm
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A cylinder of 0.12 m radius rotates concentrically inside a fixed hollow cylinder of 0.13 m radius. Both the cylinders are 0.3 m long. What will the viscosity of the liquid which fills the space between the cylinders if a torque of 0.88 Nm is required to maintain the angular velocity of 2π rad/s?a)0.123b)0.216c)0.291d)0.397Correct answer is option 'D'. Can you explain this answer?
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A cylinder of 0.12 m radius rotates concentrically inside a fixed hollow cylinder of 0.13 m radius. Both the cylinders are 0.3 m long. What will the viscosity of the liquid which fills the space between the cylinders if a torque of 0.88 Nm is required to maintain the angular velocity of 2π rad/s?a)0.123b)0.216c)0.291d)0.397Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A cylinder of 0.12 m radius rotates concentrically inside a fixed hollow cylinder of 0.13 m radius. Both the cylinders are 0.3 m long. What will the viscosity of the liquid which fills the space between the cylinders if a torque of 0.88 Nm is required to maintain the angular velocity of 2π rad/s?a)0.123b)0.216c)0.291d)0.397Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder of 0.12 m radius rotates concentrically inside a fixed hollow cylinder of 0.13 m radius. Both the cylinders are 0.3 m long. What will the viscosity of the liquid which fills the space between the cylinders if a torque of 0.88 Nm is required to maintain the angular velocity of 2π rad/s?a)0.123b)0.216c)0.291d)0.397Correct answer is option 'D'. Can you explain this answer?.
A cylinder of 0.12 m radius rotates concentrically inside a fixed hollow cylinder of 0.13 m radius. Both the cylinders are 0.3 m long. What will the viscosity of the liquid which fills the space between the cylinders if a torque of 0.88 Nm is required to maintain the angular velocity of 2π rad/s?a)0.123b)0.216c)0.291d)0.397Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A cylinder of 0.12 m radius rotates concentrically inside a fixed hollow cylinder of 0.13 m radius. Both the cylinders are 0.3 m long. What will the viscosity of the liquid which fills the space between the cylinders if a torque of 0.88 Nm is required to maintain the angular velocity of 2π rad/s?a)0.123b)0.216c)0.291d)0.397Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder of 0.12 m radius rotates concentrically inside a fixed hollow cylinder of 0.13 m radius. Both the cylinders are 0.3 m long. What will the viscosity of the liquid which fills the space between the cylinders if a torque of 0.88 Nm is required to maintain the angular velocity of 2π rad/s?a)0.123b)0.216c)0.291d)0.397Correct answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice A cylinder of 0.12 m radius rotates concentrically inside a fixed hollow cylinder of 0.13 m radius. Both the cylinders are 0.3 m long. What will the viscosity of the liquid which fills the space between the cylinders if a torque of 0.88 Nm is required to maintain the angular velocity of 2π rad/s?a)0.123b)0.216c)0.291d)0.397Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC tests.
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