Understanding Water Pressure: Solving Homework with P1 and P2 Equations

[yesshh]

Homework Statement

Homework Equations

P2=P1+pgh

The Attempt at a Solution

I thought you would just plug in the pressure in pascals to p1 and add [(1000 kg/m3)(9.8m/s2)(sqrt 2)]?

 

[hollidca]

Okay find out the pressure in chamber 1. Pressure=force/area.
Did this help?

 

[yesshh]

So the answer is just 1.3x10^5 divided by 2?

Why?

 

[hollidca]

No, 1.3x10^5 is pressure in chamber 2. Use the forumla given to you in the question to calcualte the pressure in chamber 1. You know the area of chamber 1 and you have calculated the pressure for chamber 1 so rearrange the formula pressure=force/area to give you the force.

 

[rwisz]

As a scientist, it is important to understand the principles and equations that govern a phenomenon such as water pressure. In this case, the P1 and P2 equations are used to calculate the pressure at different points in a fluid. The P2 equation, which includes the term "pgh", represents the hydrostatic pressure due to the weight of the fluid. This equation assumes that the fluid is incompressible and at rest, and can be used to calculate the pressure at a specific depth in a body of fluid. However, it is important to note that this equation is only valid for a fluid with a constant density and in a uniform gravitational field.

In order to solve the homework problem, it is necessary to first understand what the given variables represent and how they are related. P1 represents the initial pressure, which could be atmospheric pressure or any other pressure acting on the fluid. p is the density of the fluid, g is the acceleration due to gravity, and h is the height or depth at which the pressure is being calculated. By plugging in the appropriate values and using the correct units, the P2 equation can be used to accurately calculate the pressure at a specific point in the fluid.

It is also important to note that the units for pressure are typically given in pascals, which is equivalent to N/m2. In order to use the P2 equation, it is necessary to convert the given pressure to pascals before plugging it into the equation. Additionally, make sure to use the correct units for density (kg/m3) and height (m) to ensure accurate results.

In summary, understanding the principles and equations behind water pressure is crucial in solving problems involving this phenomenon. By carefully considering the variables and using the correct units, the P1 and P2 equations can be used to accurately calculate water pressure at different points in a fluid.