Question

3. Pressure in a water pipe on the ground floor of a building is 100,000Pa. Calculate the pressure in water pipe on first floor at a height of 3m.

Answer 1

Explanation:

density of water =1000 kg/m^3,

g = 10 m/s^2, h = 3m

the static pressure at a height 3m will be

= 100000 + (1000*10*3)

= 30000 + 100000 = 130000 Pa

Answer 2

The pressure at a height of 3 meters is 70 kPa.

Explanation:

Given that,

Pressure in a water pipe on the ground floor of a building is, $P_o=10^5\ Pa$

We need to find the pressure in water pipe on first floor at a height of 3 m.

Let h is the height where pressure in a water pipe is 100,000 Pa. Pressure is given by :

$P_o=dgh\\\\h=\dfrac{P_o}{dg}\\\\h=\dfrac{10^5}{1000\times 10}\\\\h=10\ m$d is density of water and g is acceleration due to gravity

Here, first floor is at 3 m. So, first floor will be at 7 m. Pressure at this height is :

$P=dgh\\\\P=1000\times 10\times 7\\\\P=70000\ Pa\\\\P=70\ kPa$

So, the pressure at a height of 3 meters is 70 kPa.

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