Calculating Pressure Increase in Arteries with Fatty Tissue Build-Up

In summary, an increase in pressure is caused by an increase in the force applied to a given area, which can be due to various factors such as an increase in volume, number of molecules, or temperature. Pressure affects gases and liquids differently, causing changes in volume, density, and temperature. High pressure can have different effects on materials, including deformation, phase changes, and chemical reactions. Pressure is measured using a manometer and commonly expressed in units such as pascal, atm, and psi. Real-world applications of pressure increase include scuba diving, hydraulic systems, weather forecasting, and industrial processes.
  • #1
robvba
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Homework Statement


Suppose that the build-up of fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?


Homework Equations


Poiseuille's equation


The Attempt at a Solution


52%?
 
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  • #3
This was a while ago, but I hope someone can help me. I'm using continuity and get A1/A2 = 1.23, and using P = F/A, it looks like P1 = 1.23P2, which is a 23 percent increase. How do you get 52%? A little help? Thanks.
 

Related to Calculating Pressure Increase in Arteries with Fatty Tissue Build-Up

1. What causes an increase in pressure?

An increase in pressure is caused by an increase in the force applied to a given area. This can be due to an increase in the volume of a gas or liquid, an increase in the number of molecules in a confined space, or an increase in the temperature of a gas. In general, any factor that leads to an increase in collisions between molecules will result in an increase in pressure.

2. How does pressure affect gases and liquids?

Pressure affects gases and liquids differently. In gases, an increase in pressure will lead to a decrease in volume, as the molecules are forced closer together. In liquids, an increase in pressure will result in a decrease in density, as the molecules are able to move more freely and take up more space. In both cases, an increase in pressure will also result in an increase in temperature.

3. What are the effects of high pressure on materials?

High pressure can have various effects on different materials. For example, it can cause solids to deform or change shape, it can cause liquids to boil or freeze at different temperatures, and it can cause gases to liquefy or solidify. High pressure can also lead to chemical reactions and changes in the physical properties of materials.

4. How is pressure measured?

Pressure is typically measured using a device called a manometer, which measures the force applied to a given area. The most common unit of measurement for pressure is the pascal (Pa), but other units such as atmospheres (atm) and pounds per square inch (psi) are also commonly used.

5. What are some real-world applications of pressure increase?

Pressure increase has many practical applications in everyday life. For example, it is used in scuba diving to help divers breathe underwater, in hydraulic systems to lift heavy objects, and in weather forecasting to predict changes in atmospheric pressure. Pressure increase is also used in industrial processes such as food packaging, oil extraction, and water treatment.

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