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A viscous damper consists of a sliding piston and a cylinder filled with the oil of kinematic viscosity 5 × 10– 5 m2/s. A damping force of 20 N is applied on the piston and the steady-state velocity reached is 10 mm/s. The damping coefficient of the damper is
- a)2 Ns/mm
- b)4 Ns/mm
- c)8 Ns/mm
- d)20 Ns/mm
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A viscous damper consists of a sliding piston and a cylinder filled wi...
F = 
where η = damping co-efficient
20 N = η × 10 mm/s
or = 2 Ns/mm
Most Upvoted Answer
A viscous damper consists of a sliding piston and a cylinder filled wi...
A viscous damper consists of a sliding piston and a cylinder filled with the oil of kinematic viscosity 5. This means that the oil has a viscosity of 5 square centimeters per second (cm^2/s). The purpose of the viscous damper is to provide resistance to the motion of the piston, absorbing and dissipating energy in the process.
When the piston moves within the cylinder, the oil is forced to flow through small channels or orifices, creating a resistance to the motion. The kinematic viscosity of the oil determines how easily it flows through these channels. A higher kinematic viscosity indicates a thicker, more resistant oil, while a lower kinematic viscosity indicates a thinner, less resistant oil.
In the case of a kinematic viscosity of 5 cm^2/s, the oil is moderately thick and offers a moderate resistance to the piston's movement. This resistance helps dampen the motion, reducing vibrations and oscillations in the system. The oil absorbs the kinetic energy of the moving piston and dissipates it as heat, thereby reducing the overall energy of the system.
Overall, a viscous damper with oil of kinematic viscosity 5 helps to control and stabilize the motion of the sliding piston, ensuring smoother and more controlled movement.
When the piston moves within the cylinder, the oil is forced to flow through small channels or orifices, creating a resistance to the motion. The kinematic viscosity of the oil determines how easily it flows through these channels. A higher kinematic viscosity indicates a thicker, more resistant oil, while a lower kinematic viscosity indicates a thinner, less resistant oil.
In the case of a kinematic viscosity of 5 cm^2/s, the oil is moderately thick and offers a moderate resistance to the piston's movement. This resistance helps dampen the motion, reducing vibrations and oscillations in the system. The oil absorbs the kinetic energy of the moving piston and dissipates it as heat, thereby reducing the overall energy of the system.
Overall, a viscous damper with oil of kinematic viscosity 5 helps to control and stabilize the motion of the sliding piston, ensuring smoother and more controlled movement.
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A viscous damper consists of a sliding piston and a cylinder filled with the oil of kinematic viscosity 5 × 10– 5 m2/s. A damping force of 20 N is applied on the piston and the steady-state velocity reached is 10 mm/s. The damping coefficient of the damper isa)2 Ns/mmb)4 Ns/mmc)8 Ns/mmd)20 Ns/mmCorrect answer is option 'A'. Can you explain this answer?
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Solutions for A viscous damper consists of a sliding piston and a cylinder filled with the oil of kinematic viscosity 5 × 10– 5 m2/s. A damping force of 20 N is applied on the piston and the steady-state velocity reached is 10 mm/s. The damping coefficient of the damper isa)2 Ns/mmb)4 Ns/mmc)8 Ns/mmd)20 Ns/mmCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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