Advertisements
Advertisements
Question
The pressure of water on the ground floor, in a water pipe is 150000 Pa, whereas pressure on the fourth floor is 30000 Pa. Calculate the height of the fourth floor. Take g = 10 ms−2.
Solution
Pressure of water at fourth floor = P2 = 3000 Pa Let h be the height of the fourth floor
Difference in the pressure of water on the ground floor and fourth floor
= P1 – P2 = 150000 – 30000
= 120000 Pa
Pressure of water due to height (h) = hρg
⇒ P1 – P2 = hρg
120000 = h × 1000 × 10 ......[ρ = 1000 kgm−3 = Density of water]
h = `120000/10000`
= 12 m
APPEARS IN
RELATED QUESTIONS
What vertical height of water will exert a pressure of 333200 Pa? The density of water is 1000 kgnr3 and g = 9.8 ms−2.
Pressure at the bottom of the sea at some particular place is 8968960 Pa. If the density of seawater is 1040 kgm3 calculate the depth of the sea. Take g = 9.8 ms−2. Neglect the pressure of the atmosphere.
Calculate the equivalent height of mercury, which will exert as much pressure as 960 m of seawater of density 1040 kgm−3. The density of mercury is 13600 kgm−3.
The pressure of water on the ground floor is 160000 Pa. Calculate the pressure on the fifth floor, at a height of 15 m.
The normal pressure of air is 76 cm of mercury. Calculate the pressure in SI units.
[Density of mercury = 13600 kg/m3 and g = 10 m/s2]
What fact about liquid pressure does the following diagram in the following figure illustrate?
What do you mean by relative density?
