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)
Question: In how many ways can a committee of 4 members be chosen from a group of 8 people?
+
How many different ways can 3 books be arranged on a shelf?
+
Math question: Solve the inequality 3x + 5 > 17, where x represents a real number.
+
New questions in Mathematics
𝑦 = ( 𝑥2 − 3) (𝑥3 + 2 𝑥 + 1)
A college believes that 22% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 5 percentage points?
90 divided by 40
Derivative of x squared
An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?
Suppose SAT reading scores are normally distributed with a mean of 496 and a standard deviation of 109. The University plans towards scholarships for students who scores are in the top 7%. What is the minimum score required for the scholarship round your answer to the nearest whole number.
A pair of die is thrown and the absolute difference of the two scores is recorded. What is the probability of the absolute difference being 4 or more?
Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)
-3(-4x+5)=-6(7x-8)+9-10x
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
0.1x8.2
30y - y . y = 144
A bag has 4 green lollipops, 3 white lollipops, and 1 black lollipop. What is the probability of drawing a white lollipop?
A buyer purchased a North Carolina home for $475,250. The seller allowed the buyer to assume his first small mortgage with a loan balance of $110,000. How much is the excise tax paid in the transaction? $951 $729.50 $950.50 $221 none of the above
The average weekly earnings in the leisure and hospitality industry group for a re‐ cent year was $273. A random sample of 40 workers showed weekly average ear‐ nings of $285 with the population standard deviation equal to 58. At the 0.05 level of significance can it be concluded that the mean differs from $273? Find a 95% con‐ fidence interval for the weekly earnings and show that it supports the results of the hypothesis test.
2 - 6x = -16x + 28
A nondegenerate ideal gas of diatomic molecules with a kilomolar mass of 2 kg/kmol and a characteristic rotational temperature of 86 K is adsorbed on the walls of a container, where the binding energy is 0.02 eV. The adsorbed molecules move freely on the walls, and their rotation is confined to the plane of the walls. Calculate the surface density of adsorbed molecules at 12 K if the gas pressure is 103 Pa! What result would you get at 68 K and the same pressure?
4m - 3t + 7 = 16
A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.