Guage Pressure, force, and displacement help

[Landlocked26]

If someone could please help with the attached assignment. I am having trouble getting started with this and cannot find a suitable answer online by myself. I am trying to do part A first and then work from there but I feel like I am wrong.

A.
P=rho*g*h
P=1000 kg/m3 * 10 m/s2 * .1m
P=

I am not getting what I am supposed to come up with when I multiply these. I think it is
1000 N/m2.

 

[Andrew Mason]

If someone could please help with the attached assignment. I am having trouble getting started with this and cannot find a suitable answer online by myself. I am trying to do part A first and then work from there but I feel like I am wrong.

A.
P=rho*g*h
P=1000 kg/m3 * 10 m/s2 * .1m
P=

I am not getting what I am supposed to come up with when I multiply these. I think it is
1000 N/m2.

The gauge pressure is the pressure due to the water. That pressure is a function only of the depth: $P = F/A = \rho gh$. You have calculated the pressure on the top of the block. What is the pressure on the bottom?

What is the downward force on the top of the block due to water pressure (use pressure x area to find force)? What is the upward force on the bottom? What is the net force? What direction is the net force? (up or down?).

AM

 

[tomcue]

Hello,

Thank you for reaching out for assistance. I am happy to help you understand the concepts of gauge pressure, force, and displacement.

First, let's define each of these terms:

1. Gauge pressure: This is the pressure measured relative to atmospheric pressure. It is the difference between the total pressure and the atmospheric pressure.

2. Force: This is a physical quantity that can cause an object to accelerate or change its direction of motion.

3. Displacement: This is the distance and direction of an object's change in position.

Now, let's look at the equation you provided for gauge pressure, which is commonly known as the hydrostatic equation:

P = ρgh

Where:
P = gauge pressure (in pascals or N/m2)
ρ = density of the fluid (in kg/m3)
g = acceleration due to gravity (in m/s2)
h = height or depth of the fluid (in meters)

Based on the given values, the calculation for gauge pressure would be:

P = 1000 kg/m3 * 10 m/s2 * 0.1 m
P = 1000 N/m2

So, your calculation is correct. The unit for gauge pressure is pascals (Pa) or newtons per square meter (N/m2).

I hope this helps you with your assignment. If you have any further questions, please don't hesitate to ask. Best of luck!