A water tank of 10 m diameter contains 10.2 m depth of water. What is the pressure exerted by the water on the base of the tank? (ρ = 1000kg/m3)
Answers
Answered by
1
Answer:
A water tank of 8 m diameter contains 10.2 m depth of water. What is the pressure exerted by the water on the base of the tank (ρ = 1000kg/M3)?
The diameter of the tank has no bearing on the pressure
The SI unit of pressure is the pascal , Pa which is defined as:
Pa = N/m²
A 1m² of water with depth 10.2 m has volume = 10.2 m³
This will have mass 1000kg * 10.2m³ = 10,200 kg
The force this exerts downwards due to gravity
Force = mass x acceleration due to gravity
Force = 10,200 kg * 9.81 m/s²
Force = 100,062 N
Because the area is 1 m² , the pressure = 100,062 N/m² or 100,062 Pa
Which is very close to atmospheric pressure
A diver at the bottom of this tank would feel a pressure of ≈ 2 atm .
Similar questions