Question

What hydrostatic pressure does a water column of 15 m of water produce if the density of water is 1g/cubic cm?

267

likes
1333 views

Answer to a math question What hydrostatic pressure does a water column of 15 m of water produce if the density of water is 1g/cubic cm?

Expert avatar
Cristian
4.7
119 Answers
To find the hydrostatic pressure produced by a water column, we can use the formula:

P = \rho \cdot g \cdot h

Where:
P is the hydrostatic pressure
ρ is the density of water
g is the acceleration due to gravity
h is the height of the water column

Given:
ρ = 1 g/cm³
h = 15 m

We need to convert the density of water from grams per cubic centimeter to kilograms per cubic meter.

1 \, \text{g/cm}³ = 1000 \, \text{kg/m}³

Now, we can calculate the hydrostatic pressure:

P=(1\,\text{g/cm}³)\cdot(9.81\,\text{m/s^^b2})\cdot(15\,\text{m})

Converting the units:
P=(1000\,\text{kg/m}³)\cdot(9.81\,\text{m/s^^b2})\cdot(15\,\text{m})

Simplifying the expression:
P=147150\,\text{N/m}²

The hydrostatic pressure produced by a water column of 15m height is 147,150N/m².

Frequently asked questions (FAQs)
What is the average of 15, 20, and 25?
+
What is the median of the following dataset: 5, 9, 11, 12, 16, 22, 22, 25, 27, 30?
+
What is the length of a side in a triangle given that angle A is 35°, angle B is 55°, and the opposite side of angle A is 12 cm?
+
New questions in Mathematics
If you have a bag with 18 white balls and 2 black balls. What is the probability of drawing a white ball? And extracting a black one?
Determine all solutions to the inequality |2x + 6| − |x + 1| < 6. Write your final answer in interval notation
90 divided by 40
How do you think the company has increased or decreased its income?
Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
4x/2+5x-3/6=7/8-1/4-x
Log5 625
It is known that the content of milk that is actually in a bag distributes normally with an average of 900 grams and variance 25 square grams. Suppose that the cost in pesos of a bag of milk is given by 𝐶(𝑥) = { 3800 𝑠𝑖 𝑥 ≤ 890 4500 𝑠𝑖 𝑥 > 890 Find the expected cost.
How many square feet of floor area are there in three two-storey apartment houses, each of which is 38 feet wide and 76 feet long?
Given (3x+2)E [2;14] how much money (in soles) does Sophia have if numerically it is the greatest value of x?
The maximum gauge pressure of a hydraulic ramp is 16 atm, with a support area whose diameter is 20 cm. What is the mass of the heaviest vehicle that can be lifted?
Use a pattern approach to explain why (-2)(-3)=6
-1%2F2x-4%3D18
(a) List the set of possible rational zeros of the polynomial function F(x) = 2x3 - 11x2 + 13x - 4. (b) Find all rational zeros of F(x). Only do part B
The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion is greater than 35%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is z= 2.6. Find the P-value for this test.
48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?
Identify the slope and y intercept y=11+2/3x
How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7
Slope (7,3) and (9,5)