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Pressure in Liquids
 
The equation for pressure in liquids can be derived from the definition of pressure as such

Pressure, P = Force, F / Area, A

P = F/A

The
force exerted by the liquid above a surface is the weight, W.
Hence,
P = W/A

where  P =
pressure
and     A = surface area

Weight, W = mg (where m =
mass and g = acceleration due to gravity)

Since density, ρ =
mass , m / volume, V

mass, m,  can be rewritten as ρV

Therefore,
W = ρVg

making

P = ρVg / A    .... (i)

The volume of the liquid above the surface can be derived from V = A X h, where A = surface area and h = height of liquid above the surface. Substituting V = Ah in equation (i),

P = ρ(Ah)g / A

P =
ρhg

 The SI unit for pressure is N/m2 or Pa (Pascal). The SI base unit for pressure, P,  is kgm-1s-2.



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Tekanan dalam Cecair

     
Persamaan tekanan dalam cecair boleh diterbitkan daripada takrifan tekanan seperti berikut:

Tekanan, P = Daya, F / Luas Permukaan, A

P = F / A

Daya yang dikenakan oleh cecair ke atas sesuatu permukaan ialah berat, W.

Dengan demikian,
P = W/A

di mana P =
tekanan
dan A = luas permukaan

Tekanan, P = Daya, F / Luas Permukaan, A

P = F / A


Berat, W = mg (di mana m = jisim dan g = pecutan disebabkan graviti)

Ketumpatan, ρ = jisim, m / isipadu, V

Dengan itu
,
jisim, m,  boleh ditulis semula sebagai ρV

Yakni,
W = ρVg

iaitu

P = ρVg / A    .... (i)

Isipadu cecair di atas permukaan boleh diterbitkan daripada V = A X h, di mana A = luas permukaan dan h = tinggi cecair di atas permukaan.

Menggantikan V = Ah ke dalam persamaan (i),

P = ρ(Ah)g / A

P =
ρhg

Unit SI tekanan ialah N/m2 atau Pa (Pascal). Unit SI asas bagi tekanan , P,  adalah kgm-1s-2.
   

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