1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kirill115 [55]
3 years ago
9

A 3-m-high, 7-m-wide rectangular gate is hinged at the top edge and is restrained by a fixed ridge. Determine the hydrostatic fo

rce exerted on the gate by the 2-m-high water and the location of the pressure center. (Round the final answers to the nearest whole number and to two decimal places, respectively.) Take the density of water to be 1000 kg/m^3 throughout.
The hydrostatic force exerted on the gate by the water is_________ kN.

The vertical distance of the pressure center from the free surface of water is______ m.
Physics
1 answer:
Shalnov [3]3 years ago
3 0

Answer:

The Hydrostatic force is   F  =  137.2 kN

The location of pressure center is  Z  = 1.333 \ m  

Explanation:

From the question we are told that

   The height of the gate is  h =  3 \ m

     The weight of the gate is  w =  7 \  m

      The height of the water is  h_w  =  2 \ m

       The density of water is \rho_w  =  1000 \ kg/m^3

Note used h_w for height of water and height of gate immersed by water since both have the same value

The area of the gate immersed in water  is mathematically represented as

         A =  h_w  * w

substituting values

         A =  2*  7

         A =  14  \ m^2

The hydrostatic force is mathematically represented as

          F  =  \rho_w * g * h_f * A

Where

            h_f =h-  h_w

           h_f =3 -2

           h_f = 1\ m  

So  

              F  =  1000 * 9.8 * 1 * 14

            F  =  137.2 kN

The center of pressure is mathematically represented as

        Z  =  h_f + \frac{I_g}{h_f * A}

Where I_g is the moment of inertia of the gate which mathematically represented as

            I_g =  \frac{w * h_w^2}{12}

The h_w is the height of gate immersed in water

            I_g =  \frac{7  * 2^2 }{12}

             I_g = 4.667\ kg  m^2

Thus  

        Z  = 1  + \frac{4.66}{1 * 14}

        Z  = 1.333 \ m

You might be interested in
30 Points 4 correct answer!!! ^u^
lakkis [162]
Lithium has an atomic number of 3 so right away all the answer choices are eliminated except A., and oxygen does have 8 neutrons, boron 5 electrons, and neon a mass of 20
3 0
3 years ago
Read 2 more answers
Objects that transmit some light and reflect/absorb the rest of the light, like stained glass, are
11111nata11111 [884]
You are correct it is translucent because opaque let’s no light through but transparent lets almost all light through
3 0
3 years ago
An arrow in flight has an initial velocity of 65 meters per second, and 10 seconds later, it has a velocity of 35 meters per sec
-BARSIC- [3]
Acceleration = (final velocity - initial velocity) / time
= (35-65)/10
= -3 m/s2
7 0
3 years ago
The children at the local park think the slide is too slow. There is too much fiction. What could you do to decrease the amount
igor_vitrenko [27]
In order to decrease the friction on the slide,
we could try some of these:

-- Install a drippy pipe across the top that keeps continuously
dripping olive oil on the top end of the slide.  The oil oozes
down the slide and keeps the whole slide greased.

-- Hire a man to spread a coat of butter on the whole slide,
every 30 minutes.

-- Spray the whole slide with soapy sudsy water, every 30 minutes.

-- Drill a million holes in the slide,and pump high-pressure air
through the holes.  Make the slide like an air hockey table.

-- Keep the slide very cold, and keep spraying it with a fine mist
of water.  The water freezes, and a thin coating of ice stays on
the slide.

-- Ask a local auto mechanic to please, every time he changes
the oil in somebody's car, to keep all the old oil, and once a week
to bring his old oil to the park, to spread on the slide.  If it keeps
the inside of a hot car engine slippery, it should do a great job
keeping a simple park slide slippery.

-- Keep a thousand pairs of teflon pants near the bottom of the ladder
at the beginning of the slide.  Anybody who wants to slide faster can
borrow a set of teflon pants, put them on before he uses the slide, and
return them when he's ready to go home from the park.
7 0
3 years ago
To test the quality of water sources in her area, Shameka collects five samples from each water source and tests the quality of
xenn [34]

The missing part of the incomplete question is given below:

Which important step of scientific design is Shameka conducting?

repetition

replication

verification of results

using controlled variables

Answer:

Verification of results

Explanation:

The way toward gathering five examples of water from various sources is conveyed to confirm the outcome. By gathering water from five distinct areas of a similar source the analyst can genuinely find out the nature of the water in her region of remain.  

On the off chance that after examples are tried it is found the water isn't sound, the outcomes would be acknowledged as it has been appropriately checked and a  proper move would be made.

Thus, the correct answer is - verification of results

6 0
3 years ago
Other questions:
  • If a set of displacement vectors laid head to tail make a closed polygon, what is the resultant vector?
    8·1 answer
  • What is one piece of evidence that does NOT support the Big Bang Theory?​
    11·1 answer
  • A simple pendulum with a length of 2.23 m and a mass of 6.74 kg is given an initial speed of 2.06 m/s at its equi- librium posit
    13·1 answer
  • Two ice skaters stand facing each other at rest on a frozen pond. They push off against one another and the 48 kg skater acquire
    10·2 answers
  • A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560
    11·2 answers
  • It takes a car 2 minute(s) to go from rest to 25 m/s east. What is the acceleration
    14·1 answer
  • What is the weight of a 20 kg box on the Earth?<br> A) 2 N <br> B) 20 N<br> C) 200 N
    15·1 answer
  • A book is sitting on the dashboard of a car that is stopped at a traffic light as the car starts to move forward the book slides
    15·1 answer
  • 1. Write down the readings on the side of Figs. 6 (a), (b) and (c) respectively. What is the least count of instrument scale for
    11·1 answer
  • A cue ball of inertia m is given a speed v before it collides elastically with a full rack of 15 stationary balls in a game of p
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!