Fluids acceleration on inclined plane

In summary, on a frictionless plane, a body remains stationary relative to liquid. However, if the box is filled partially or not at all, it will move down the slope due to the pressure of the liquid.
  • #36
256bits said:
Problem states that the closed box is allowed to slide down, not that it is sliding down the ramp. I interpret this to mean it eventually ends up moving horizontally.
I read it that it is sliding down the ramp. I see no suggestion that we are to consider a later stage in which it is moving horizontally.
256bits said:
At the curve the box will experience a dw/dt, a change in dy/dt and a change in dx/dt.
It could be that with different angles of incline, the differences in these values will cause the object to shift its position within the box.
As I posted before, there's a simple thought experiment. If the object has the same density as the water then you can replace by 'block' of water. There need be no physical boundary on this block, it is just a region of the water we choose to identify as a distinct object. Why should that move around within the body of water generally (other than rotate, maybe)?
 
<h2> What is the formula for calculating the acceleration of a fluid on an inclined plane?</h2><p>The formula for calculating the acceleration of a fluid on an inclined plane is a = g(sinθ - μcosθ), where a is the acceleration, g is the acceleration due to gravity, θ is the angle of inclination, and μ is the coefficient of friction.</p><h2> How does the angle of inclination affect the acceleration of a fluid on an inclined plane?</h2><p>The greater the angle of inclination, the greater the acceleration of the fluid. This is because the component of gravity acting down the plane (gsinθ) increases as the angle increases, while the component of friction acting up the plane (μgcosθ) remains constant.</p><h2> What is the role of friction in the acceleration of a fluid on an inclined plane?</h2><p>Friction acts in the opposite direction of motion, so it will always act up the inclined plane. This means that it will always decrease the acceleration of the fluid. The coefficient of friction determines the magnitude of this effect.</p><h2> How does the density of the fluid affect its acceleration on an inclined plane?</h2><p>The density of the fluid does not directly affect its acceleration on an inclined plane. However, it does affect the force of gravity acting on the fluid, which in turn affects the acceleration. A more dense fluid will experience a greater force of gravity and therefore a greater acceleration.</p><h2> Can the acceleration of a fluid on an inclined plane ever be greater than the acceleration due to gravity?</h2><p>No, the acceleration of a fluid on an inclined plane can never be greater than the acceleration due to gravity. This is because the acceleration due to gravity is the maximum possible acceleration for an object in free fall. However, the acceleration of a fluid on an inclined plane can be equal to the acceleration due to gravity in certain cases, such as when the angle of inclination is 90 degrees and there is no friction present.</p>

FAQ: Fluids acceleration on inclined plane

What is the formula for calculating the acceleration of a fluid on an inclined plane?

The formula for calculating the acceleration of a fluid on an inclined plane is a = g(sinθ - μcosθ), where a is the acceleration, g is the acceleration due to gravity, θ is the angle of inclination, and μ is the coefficient of friction.

How does the angle of inclination affect the acceleration of a fluid on an inclined plane?

The greater the angle of inclination, the greater the acceleration of the fluid. This is because the component of gravity acting down the plane (gsinθ) increases as the angle increases, while the component of friction acting up the plane (μgcosθ) remains constant.

What is the role of friction in the acceleration of a fluid on an inclined plane?

Friction acts in the opposite direction of motion, so it will always act up the inclined plane. This means that it will always decrease the acceleration of the fluid. The coefficient of friction determines the magnitude of this effect.

How does the density of the fluid affect its acceleration on an inclined plane?

The density of the fluid does not directly affect its acceleration on an inclined plane. However, it does affect the force of gravity acting on the fluid, which in turn affects the acceleration. A more dense fluid will experience a greater force of gravity and therefore a greater acceleration.

Can the acceleration of a fluid on an inclined plane ever be greater than the acceleration due to gravity?

No, the acceleration of a fluid on an inclined plane can never be greater than the acceleration due to gravity. This is because the acceleration due to gravity is the maximum possible acceleration for an object in free fall. However, the acceleration of a fluid on an inclined plane can be equal to the acceleration due to gravity in certain cases, such as when the angle of inclination is 90 degrees and there is no friction present.

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