What is the total force on the bottom of a swimming pool 22.0 m by 8.9 m whose uniform depth is 1.6 m?
What is the absolute pressure on the bottom of a swimming pool?
What will be the pressure against the side of the pool near the bottom?
That didn't give me the correct answer
Sorry, I didn't read properly.
The question requested absolute pressure, which includes atmospheric pressure, equal to about 103.59 kPa.
Watch out for units when you add hydrostatic pressure in N/m² (=Pa) to atmospheric pressure in kPa.
What is the pressure acting on your body if you dive down to a depth of 3.4 m?
P fluid=r x h x g wher h =3.4m
P total =P atmospheric + P fluid
Normal atmospheric pressure = 1.01 x 10^5
To calculate the total force on the bottom of the swimming pool, we need to determine the pressure on the surface and multiply it by the area.
First, let's calculate the pressure on the bottom. The pressure in a fluid is given by the formula:
pressure = density * gravity * depth
We can assume the density of water is 1000 kg/m^3. The acceleration due to gravity is approximately 9.8 m/s^2. The depth of the pool is 1.6 m.
So, the pressure at the bottom of the pool is:
pressure = 1000 kg/m^3 * 9.8 m/s^2 * 1.6 m
Next, we can calculate the total force on the bottom of the pool. The force is given by the formula:
force = pressure * area
The area of the pool is given as 22.0 m by 8.9 m. Therefore:
force = pressure * (22.0 m * 8.9 m)
Now, to find the absolute pressure on the bottom of the swimming pool, we substitute the calculated pressure value into the pressure formula. This gives us the absolute pressure at the bottom.
Finally, for the pressure against the side of the pool near the bottom, we need to consider the pressure due to the weight of the water above it. This can be calculated using the same formula for pressure as before, using the depth along the side of the pool instead of the depth at the bottom.
Pressure at depth 1.6m
= ρgh
= 1000 kg/m³ * 9.8 m/s² * 1.6 m
= 15,680 N/m²
Force = pressure * area
Hydrostatic pressure acts equally in all directions, i.e. downwards and sideways.