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Newton's law of viscosity for a fluid states that the shear stress is
- a)proportional to angular deformation
- b)proportional to rate of angular deformation
- c)inversely proportional to angular deformation
- d)inversely proportional to rate of angular deformation
Correct answer is option 'B'. Can you explain this answer?
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Newtons law of viscosity for a fluid states that the shear stress isa)...
Newton's Law of Viscosity Explanation
Shear Stress and Rate of Angular Deformation
In Newton's law of viscosity, the shear stress in a fluid is proportional to the rate of angular deformation rather than the angular deformation itself. This means that the force required to deform a fluid increases as the rate at which the fluid is deformed increases.
Angular Deformation and Rate of Angular Deformation
Angular deformation refers to the change in shape or orientation of a fluid element due to applied shear stress. The rate of angular deformation, on the other hand, is the speed at which this deformation occurs. Newton's law tells us that the shear stress is directly proportional to this rate of change in shape.
Explanation of Proportionality
The reason behind this proportionality lies in the behavior of fluids. When a fluid is subjected to shear stress, its molecules tend to move relative to each other. The faster this movement occurs (higher rate of angular deformation), the higher the resistance or shear stress the fluid exhibits. This is why the shear stress is directly proportional to the rate of angular deformation.
In conclusion, Newton's law of viscosity states that the shear stress in a fluid is directly proportional to the rate of angular deformation. This relationship helps us understand how fluids behave under shear forces and is crucial in various engineering applications.
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Newtons law of viscosity for a fluid states that the shear stress isa)proportional to angular deformationb)proportional to rate of angular deformationc)inversely proportional to angular deformationd)inversely proportional to rate of angular deformationCorrect answer is option 'B'. Can you explain this answer?
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