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
The force a magnet exerts on another magnet, on iron or a similar metal, or on moving charges is
In-s [12.5K]
The answer is a magnetic force.
7 0
3 years ago
Read 2 more answers
Please Help ASAP!!!
const2013 [10]

Answer:

The Forces of Flight

At any given time, there are four forces acting upon an aircraft.  

These forces are lift, weight (or gravity), drag and thrust. Lift is  

the key aerodynamic force that keeps objects in the air. It is the  

force that opposes weight; thus, lift helps to keep an aircraft in  

the air. Weight is the force that works vertically by pulling all  

objects, including aircraft, toward the center of the Earth. In order  

to fly an aircraft, something (lift) needs to press it in the opposite  

direction of gravity. The weight of an object controls how strong  

the pressure (lift) will need to be. Lift is that pressure. Drag is a  

mechanical force generated by the interaction and contract of a  

solid body, such as an airplane, with a fluid (liquid or gas). Finally,  

the thrust is the force that is generated by the engines of an  

aircraft in order for the aircraft to move forward.

Explanation:

5 0
3 years ago
What will occur if a resistor with high resistance is inserted into a circuit?
Anton [14]
If the resistor is in series with the rest of the circuit then a is the correct answer. The voltage across the resistor in series with another resistor is
V \frac{R}{R+r}
where R is the big resistor and r is the small one and V is the total voltage drop across both.  This is called a voltage divider
5 0
3 years ago
Read 2 more answers
A man stands on a platform that is rotating (without friction) with an angular speed of 1.0 rev/s; his arms are outstretched and
Airida [17]

Answer:

Explanation:

Given

N_1=1 rev/s

angular velocity \omega =2\pi N_1=6.284 rad/s

Combined moment of inertia of stool,student and bricks =6\ kg.m^2

Now student pull off his hands so as to increase its speed to suppose N_2 rev/s

\omega _2=2\pi N_2  

After Pulling off hands so final moment of inertia is

I_2=2\ kg-m^2

Conserving angular momentum  as no external torque is applied

I_1\omega _1=I_2\omega _2

6\times 6.284=2\times \omega _2

\omega _2=18.85\ rad/s

N_2=3 rev/s

7 0
3 years ago
Flying against the wind, a jet travels 4640 in 8 hours. flying with the wind, the same jet travels 9000 in 9 hours. what is the
Vanyuwa [196]
17 in wind and 13640 meh buddy
3 0
3 years ago
Other questions:
  • If the diving board is 3.00 m above the water, what is the diver's speed just before she enters the water?
    14·1 answer
  • Which of the following is responsible for the formation of sinkholes F. Eroding soil on Earths’s surface G. Ice that builds up o
    8·1 answer
  • Why does changing the shape of an object have no effect on the density?
    12·1 answer
  • on a recent adventure trip, Anita Break went rock climbing. Anita was able to perform 1370 J of work in 100 seconds. Determine A
    12·1 answer
  • A circular section of 25 mm diameter is welded (all the way around) to a wall and subject to a torsional load. Calculate the uni
    15·1 answer
  • List at least three practices that have resulted from the impact factor. Argue which of these is most problematic and explain wh
    7·1 answer
  • The table below shows the average wind speeds of four hurricanes in Florida
    5·2 answers
  • The pressure on 200 mL of a gas is reduced from 80 kPa to 40 kPa. The final volume is Page
    5·1 answer
  • HELPPP<br><br><br> chchcuhckf hfjf
    7·1 answer
  • If I am lifting a box with a force of 100 N and the box has an acceleration of 10 N, what is the mass of the box?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!