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If a fluid, which has a constant specific gravity, is taken to a planet where acceleration due to gravity is 3 times compared to its value on earth, what will happen to its kinematic viscosity.
- a)It increases
- b)It decreases
- c)It remains constant
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
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If a fluid, which has a constant specific gravity, is taken to a plane...
Explanation: Kinematic viscosity depends on density and dynamic viscosity. Both, density and dynamic viscosity, are independent of acceleration due to gravity. Therefore, kinematic viscosity is independent of acceleration due to gravity.
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If a fluid, which has a constant specific gravity, is taken to a plane...
Effect of Gravity on Fluid Properties:
Gravity plays a significant role in determining the behavior of fluids. One of the properties affected by gravity is the kinematic viscosity. Kinematic viscosity is defined as the ratio of dynamic viscosity to density and is a measure of a fluid's resistance to flow.
Explanation:
When a fluid is taken to a planet where the acceleration due to gravity is 3 times compared to its value on Earth, the specific gravity of the fluid remains constant. Specific gravity is the ratio of the density of a substance to the density of a reference substance (usually water).
The kinematic viscosity of a fluid is given by the equation:
ν = μ/ρ
Where:
ν = kinematic viscosity
μ = dynamic viscosity
ρ = density
Since the specific gravity of the fluid remains constant, it implies that the density of the fluid also remains constant. Therefore, as the acceleration due to gravity increases, the density of the fluid on the new planet will also increase by a factor of 3.
Effect on Kinematic Viscosity:
When the density of the fluid increases, while the dynamic viscosity remains constant, the kinematic viscosity will also remain constant.
This can be understood by rearranging the equation for kinematic viscosity:
ν = μ/ρ
Since both μ and ρ increase by the same factor of 3, their ratio remains unchanged. Therefore, the kinematic viscosity of the fluid remains constant.
Conclusion:
In summary, when a fluid with constant specific gravity is taken to a planet with 3 times the acceleration due to gravity compared to Earth, its kinematic viscosity remains constant. The increase in gravity does not affect the relationship between dynamic viscosity and density, leading to a consistent kinematic viscosity value.
Gravity plays a significant role in determining the behavior of fluids. One of the properties affected by gravity is the kinematic viscosity. Kinematic viscosity is defined as the ratio of dynamic viscosity to density and is a measure of a fluid's resistance to flow.
Explanation:
When a fluid is taken to a planet where the acceleration due to gravity is 3 times compared to its value on Earth, the specific gravity of the fluid remains constant. Specific gravity is the ratio of the density of a substance to the density of a reference substance (usually water).
The kinematic viscosity of a fluid is given by the equation:
ν = μ/ρ
Where:
ν = kinematic viscosity
μ = dynamic viscosity
ρ = density
Since the specific gravity of the fluid remains constant, it implies that the density of the fluid also remains constant. Therefore, as the acceleration due to gravity increases, the density of the fluid on the new planet will also increase by a factor of 3.
Effect on Kinematic Viscosity:
When the density of the fluid increases, while the dynamic viscosity remains constant, the kinematic viscosity will also remain constant.
This can be understood by rearranging the equation for kinematic viscosity:
ν = μ/ρ
Since both μ and ρ increase by the same factor of 3, their ratio remains unchanged. Therefore, the kinematic viscosity of the fluid remains constant.
Conclusion:
In summary, when a fluid with constant specific gravity is taken to a planet with 3 times the acceleration due to gravity compared to Earth, its kinematic viscosity remains constant. The increase in gravity does not affect the relationship between dynamic viscosity and density, leading to a consistent kinematic viscosity value.
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If a fluid, which has a constant specific gravity, is taken to a planet where acceleration due to gravity is 3 times compared to its value on earth, what will happen to its kinematic viscosity.a)It increasesb)It decreasesc)It remains constantd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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