Calculate Pressure & Height for Steel Bar on 1L Water

  • Thread starter predentalgirl1
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In summary, the conversation is about calculating the gauge pressure required to compress 1 liter of pure water to 989 mL, converting the answer to both N/m^2 and psi, and determining the height of a steel bar and the amount of steel needed to exert this pressure on one cubic face of a liter of water. The solution also involves understanding the compressibility of water. If there are any difficulties, the person is advised to ask a more specific question.
  • #1
predentalgirl1
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1
I have tried and tried to figure this out but I'm getting no where. Can anyone help me?

(a) Calculate the gauge pressure (it does not include atmosphereric P) required to compress pure water from 1.000 L to 989 mL. Give an answer in both N/m^2 and psi, lb/in^2.

(b) What height in meters and feet of a 1x1 cm^2 steel bar (density=7.86 g/cm^3) is required to exert the pressure found in part (a)?


(c) How many total pounds of steel would be required to exert this pressure on one cubic face of a liter of water (1 L= 1 cubic decimeter)?
 
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  • #2
The answer has to do with the compressibility of water. Look that up. Then start the problem and if you have a problem, post a more specific question.
 

FAQ: Calculate Pressure & Height for Steel Bar on 1L Water

1. How can pressure be calculated for a steel bar on 1L water?

The pressure on a steel bar can be calculated by dividing the weight of the bar by its surface area in contact with the water. This will give the pressure in units of force per unit area, such as pounds per square inch (psi) or newtons per square meter (Pa).

2. What is the formula for calculating pressure on a steel bar?

The formula for calculating pressure is P = F/A, where P is pressure, F is the force acting on the surface, and A is the surface area in contact with the force. In the case of a steel bar on water, the force is the weight of the bar and the surface area is the area of the bar in contact with the water.

3. How does the height of the water affect the pressure on the steel bar?

The height of the water does not directly affect the pressure on the steel bar. However, the weight of the water above the bar will contribute to the overall force acting on the bar, which will in turn affect the pressure. The greater the height of the water, the greater the force and therefore the greater the pressure on the bar.

4. Can the pressure on a steel bar be converted to other units of measurement?

Yes, the pressure on a steel bar can be converted to other units of measurement such as atmospheres, bars, or pascals. This can be done using conversion factors or online unit converters.

5. How can the height of the steel bar be determined using pressure and water volume?

The height of the steel bar can be determined by rearranging the formula for pressure (P = F/A) to solve for height (h). This will give the formula h = F/(Aρg), where ρ is the density of water and g is the acceleration due to gravity. By plugging in the values for force (weight of the bar), surface area, water volume, and the known values for ρ and g, the height of the bar can be calculated.

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