Pressure and depth in a static fluid

In summary, a meat baster is a tool used for basting food while cooking. It consists of a squeeze bulb attached to a plastic tube, and when the bulb is squeezed and released with the open end of the tube under the surface of the basting sauce, the sauce rises in the tube to a certain distance h. To find the absolute pressure in the bulb, the formula Pbaster = Pair - dgH can be used, where Pair is the atmospheric pressure, dg is the density of the sauce, and H is the distance h. Using this formula with atmospheric pressure of 1.013 × 1055Pa and sauce density of 1430 kg/m3, the absolute pressure PB in the bulb can be found for two
  • #1
bulbasaur88
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A meat baster consists of a squeeze bulb attached to a plastic tube. When the bulb is squeezed and released, with the open end of the tube under the surface of the basting sauce, the sauce rises in the tube to a distance h, as the drawing shows. Using 1.013 × 1055Pa for the atmospheric pressure and 1430 kg/m3 for the density of the sauce, find the absolute pressure PB in the bulb when the distance h is (a) 0.17 m and (b) 0.10 m.

Pbaster = Pair - dgH
Pbaster = 1.013 x 105 - 1430(9.8)(0.17) = 98917.62 Pa?

and second Pa is Pa = 99898.6 Pa?
 
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  • #2
That looks good to me.
 

1. What is pressure in a static fluid?

Pressure in a static fluid refers to the force exerted by the fluid on a surface due to the weight of the fluid above it. It is a result of the gravitational force acting on the fluid particles and is dependent on the depth of the fluid.

2. How does pressure change with depth in a static fluid?

In a static fluid, pressure increases with depth. This is because as the depth of the fluid increases, the weight of the fluid above also increases, resulting in a greater force being exerted on a surface. This can be explained by the equation P = ρgh, where P is pressure, ρ is density, g is the acceleration due to gravity, and h is the depth of the fluid.

3. What is the relationship between pressure and density in a static fluid?

Pressure and density are directly proportional in a static fluid. This means that as the density of the fluid increases, the pressure also increases. This relationship can be seen in the equation P = ρgh, where a change in density will result in a change in pressure if the other variables remain constant.

4. How is pressure affected by the shape of a container in a static fluid?

The shape of a container does not affect the pressure in a static fluid. As long as the depth and density of the fluid remain constant, the pressure will also remain constant regardless of the shape of the container.

5. What is the difference between pressure and depth in a static fluid?

Pressure and depth are two different properties in a static fluid. Pressure refers to the force exerted by the fluid on a surface, while depth refers to the vertical distance from the surface to a specific point in the fluid. However, the pressure at a specific depth is dependent on the depth of the fluid above it.

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