Can someone prove that Pressure=Height *Density of liquid( NOt Specific Gravity)?

Question

Can someone prove that Pressure=Height *Density of liquid( NOt Specific Gravity) and what is difference between mass density and weight density and how to convert mass density into weight density?

Answer 1

Depends on how you want to define "density" one common definition is mass per unit volume, using that definition, one can not prove that "Pressure=Height *Density of liquid"

Now if one used the the definition for "specific weight" i.e. "weight per unit volume of a material" then it seems self evident that "Pressure=Height *specific weight of liquid"

We might start with:

"what is difference between mass density and weight density and how to convert mass density into weight density?"

The difference is acceleration, usually the acceleration of gravity, about 9.8m/second^2 average, for the habitable parts of Earth

For example, 1 cubic meter of water (at 4°C and 1atm) has a mass of 1000kg, and a weight (on Earth) of about 9800 newtons.

the pressure exerted at the base of a 1 meter cube (1 meter high) is 9800N/m^2 or 9800Pa or 9.8kPa

Since 1 atm is about 101kPa, a column of water about 10.3 meters high would equal 1 atm.

Answer 2

*Pressure=Height *Density of liquid can not be proved considering the laws of fluid mechanics.

*For a particular case, you can show what you have asked.

*Pressure=Height *Specific Gravity of liquid

=Height *[Density of liquid] / [Density of water at 4 deg.C]

=Height *[Density of liquid] / [1]

=Height *[Density of liquid]

So, Pressure=Height *[Density of liquid]

[At 4°C pure water has a density (weight or mass) of about

1 g/cu.cm, 1 g/ml,1 kg/liter, 1000 kg/cu.m, 1 tonne/cu.m or 62.4 lb/cu.ft]

*The weight of a mass is the force that the earth pulls on the mass.

The weight of a mass is the force of gravity on the mass.

There are two kinds of density, "weight density" and "mass density". We will only use mass density and when we say: "density", we will mean "mass density". Density is mass per volume.

-The amount of some quantity per unit volume, notably of mass per unit volume, termed distinctively mass density but more properly volumic mass.

-The specific weight (also known as the unit weight) is the weight per unit volume of a material, or:

  ÃŽÂ³= ρ, g

where,

    ÃŽÂ³ is the specific weight of the material (weight per unit volume, typically N/m^3 units)

    ÃÂ is the density of the material (mass per unit volume, typically kg/m^3)

    g is acceleration due to gravity (rate of change of velocity, given in m/s^2)

*1 kilogram-force = 9.8 Newton

*Mass density, usually just called "density", is mass (the amount of matter) per volume, while weight density is the amount of gravity exerted per volume.

They are related quantities, and we can actually derive an object's weight density by multiplying its mass density and the gravitational constant, which is 9.8 m/s^2 at sea level.

Answer 3

I think the formula your looking for is "Pay+attention=answer.