A swimming pool is filled with water to a height of 5m. A) what is the pressure exerted by the water on the bottom of the pool B) if a small boy swims horizontally in the pool, calculate the pressure experienced by the body when he is at I) The surface ii) half depth iii) The bottom of the pool?
Answers
Information given
- A swimming pool is filled with water to a height of 5m.
Questions Asked
A) what is the pressure exerted by the water on the bottom of the pool B) if a small boy swims horizontally in the pool, calculate the pressure experienced by the body when he is at I) The surface ii) half depth iii) The bottom of the pool
Formula going to be used
P = hpg
H = height
p = density of water
g = acceleration due to gravity
Known
density of water is 10³kg/m³ or 1g/cm³
Solution
Question 1
h = 5m
p = 10³kg/m³
g = 9.8
Now use the formula
P = hpg
P = 5×10³×9.8
P = 49×10³ Pa or 49000Pa
2nd Question
The pressure experienced on the body is = to his weight .
This is due to upthrust
3rd Question
The pressure exerted on him is equal to the weight off the displaced liquid.
For the above this is the force exerted by Upthrust
2nd Question
h = 2.5m
p = 10³kg/m³
g = 9.8 m /s²
Therefore
Using
P = hpg
P = 2.5×10³×9.8
P = 24.5 × 10³ Pa
For Question 3
h = 5m
p = 10³ kg/m³
g = 9.8 m/s²
Using
P = hpg
P = 5×10³×9.8
P = 49 × 10³ Pa
The pressure experienced by the body when he is at 49050.
Explanation:
A) ,,density=
pressure=height*gravity*density
B)
(1).In this analysis the fluid does not exert any pressure on the boy. Instead, the boy's exerting pressure on the fluid.
(2).half depth.
(3). bottom of the bool
it be same pressure exerted by the water on the bottom of the pool=.