Here we have an inclined ramp, with a cylinder on top, filled with (water and or
ID: 1711679 • Letter: H
Question
Here we have an inclined ramp, with a cylinder on top, filled with (water and or gravel) in given trials etc.
I know that after the experiment, the angle of the ramp can be further increased with a heavier mass. however in some of the trials, a small hole is made into the bottom of the cylinder, where the water can leak out. After recording, the angle is found to be less than without the leaking hole (due to water pressure I'm pretty certain)
e.g. X amount of water and gravel, with no leak has a higher stability (higher inclined angle without fail) than the same amount of water and gravel when there IS A HOLE.
The question: Is the pressure larger,smaller or unchanged, if we increase the hole in the bottom of the cylinder?
Explanation / Answer
As we know Pressure= Force/Area
Here the Force = mass x acceleration . Mass is considered constant, as when the water comes out of the hole mass will decrease but let us consider it constant for a small duration of time. Acceleration which in this case is acceleration due to gravity is constant throughout the experiment. So we can conclude that Force is constant throughout the experiment.
Now , let us talk about Area. .
Area=( 3.14 xd2)/4
By equation Area is directly proportional to diameter , as diameter increases Area will increase.
By Pressure= Force/Area
We know that Pressure is inversely proportional to Area. Now according to question if we increase the hole in the bottom of cylinder the Area of hole will increase. As a result the Pressure will decrease, as it is inversely proportional to Area.
So on increasing the hole the Pressure will decrease.