What is the Pressure and Resultant Force at the Bottom of the Tub?

In summary, the atmosphere pressure is 101 kPa and a tub with dimensions 2m x 0.75m x 0.5m is filled with water. The absolute pressure against the sides at the bottom of the tub is 105900 Pa and the resultant force on the bottom is 4900 Pa. The hatch is not relevant to the calculation of the resultant force on the bottom.
  • #1
Newton86
59
0

Homework Statement



( athmosphere pressure is normal 101 kPa)
A ”tub” has a form as a prism ( like on the pic ) with the following lengths
Length: 2m
Width : 0,75m
height: 0,5m
Whats the absolute pressure agains the sides at the bottom of the “tub” + resultant force

191143.jpe



Homework Equations



I Think
p=po + pgh


The Attempt at a Solution




(Im not sure about po and p )

For the absolute pressure I got :
P=Pa +pgh = 101 + 0,75*9,81*0,5 = 104,67 pa

And the resultant force
P = pgh = Resultantkraft: pgh = 0,75*9,81*0,5 = 3,675 pa
I have done something wrong haven't i ?
 
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  • #2
Newton86 said:

Homework Statement



( athmosphere pressure is normal 101 kPa)
A ”tub” has a form as a prism ( like on the pic ) with the following lengths
Length: 2m
Width : 0,75m
height: 0,5m
Whats the absolute pressure agains the sides at the bottom of the “tub” + resultant force

191143.jpe



Homework Equations



I Think
p=po + pgh


The Attempt at a Solution




(Im not sure about po and p )

For the absolute pressure I got :
P=Pa +pgh = 101 + 0,75*9,81*0,5 = 104,67 pa

And the resultant force
P = pgh = Resultantkraft: pgh = 0,75*9,81*0,5 = 3,675 pa
I have done something wrong haven't i ?

Someone Please I am beggin here :smile:
 
  • #3
Newton86 said:
( athmosphere pressure is normal 101 kPa)
A ”tub” has a form as a prism ( like on the pic ) with the following lengths
Length: 2m
Width : 0,75m
height: 0,5m
Whats the absolute pressure agains the sides at the bottom of the “tub” + resultant force

For the absolute pressure I got :
P=Pa +pgh = 101 + 0,75*9,81*0,5 = 104,67 pa

And the resultant force
P = pgh = Resultantkraft: pgh = 0,75*9,81*0,5 = 3,675 pa

Hi Newton86! :smile:

erm … what's the tub filled with? :confused:

and I don't think the width affects the pressure, does it? :smile:
 
  • #4
Hi again Tim:smile::smile:
Its filled with water. And yeah you got a point with the width :tongue:

I think I have it now after I see what pa and P is.

absolute pressure:
Pa +pgh = 101000 + 1000kg/m^3*9,81*0,5 = 105900 pa

101kpa is 101000 pa and 1000kg/m^3 is the density of water.

Resultant force:

Resultantkraft: pgh = 1000kg/m^3*9,81*0,5 = 4900 pa

does this make sense ?
 
  • #5
Hi Newton86! :smile:

Looks very good! :smile:

(But I don't understand what they mean by "resultant force" … 49000pa is a pressure … pressure = force/area … do they mean resultant-force/area? :confused:)​
 
  • #6
Hi Newton86! :smile:

Looks very good! :smile:

(But I don't understand what they mean by "resultant force" … 49000pa is a pressure … pressure = force/area … do they mean resultant-force/area? :confused:)​
 
  • #7
Dont ask me You are the smart one:wink:
But the resultant force to the bottom of the "tub"
I don't know but we got the information about length and width and so far i haven't used that info, maybe i should :confused:
 
  • #8
Hi Newton86! :smile:

(hmm … sometimes they put in extra information just to test if you know what's relevant)

Is the question asking for the "resultant force at the bottom of the tub", or for the total resultant force on all the sides of the tub, right up to the top?
 
  • #9
"The resultant force agains the bottom of the tub" I would say it also have info about a hatch but I think that is only relevant to the next question who is what the resultant force is agains the hatch..
 

1. What is pressure?

Pressure is the amount of force applied over a given area. It is a measure of how much force is acting on a surface.

2. How is pressure calculated?

Pressure is calculated by dividing the force applied by the area over which it is applied. The formula for pressure is P = F/A, where P is pressure, F is force, and A is area.

3. How does pressure affect the resultant force?

The resultant force is the vector sum of all the forces acting on an object. Pressure affects the resultant force by contributing to the overall force acting on an object. If there is a difference in pressure on different sides of an object, it will result in a net force, causing the object to move in the direction of the higher pressure.

4. What is the relationship between pressure and depth?

Pressure and depth have a direct relationship. As depth increases, so does pressure. This is because the weight of the fluid above increases with depth, resulting in a greater force being applied to the surface below.

5. How does pressure change with altitude?

As altitude increases, the pressure decreases. This is because the air in the atmosphere becomes less dense at higher altitudes, resulting in fewer air particles exerting force on a given surface. This is why it is harder to breathe at high altitudes.

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