Question
A cubical block of side '' and density '' slides over a fixed inclined plane with constant velocity ''. There is a thin film of viscous fluid of thickness '' between the plane and the block. Then the coefficient of viscosity of the thin film will be (Acceleration due to gravity is ):
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Text solutionVerified
Since the block moves with constant velocity, net force F on the block is zero.
The forces acting on the block are:
....(1) downward along the inclined plane
Viscous force .....(2) where
is the are of a face of the cube which is in contact with the surface of the inclined plane.
is the coefficient of viscosity
is the velocity gradient
Equating (1) and (2),
The forces acting on the block are:
....(1) downward along the inclined plane
Viscous force .....(2) where
is the are of a face of the cube which is in contact with the surface of the inclined plane.
is the coefficient of viscosity
is the velocity gradient
Equating (1) and (2),
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Question Text | A cubical block of side '' and density '' slides over a fixed inclined plane with constant velocity ''. There is a thin film of viscous fluid of thickness '' between the plane and the block. Then the coefficient of viscosity of the thin film will be (Acceleration due to gravity is ): |
Answer Type | Text solution:1 |
Upvotes | 150 |