A fireboat is to fight fires at coastal areas by drawing seawater with a density of 1030 kg/m3 through a 10-cm-diameter pipe at a rate of 0.04 m3/s and discharging it through a hose nozzle with an exit diameter of 5 cm. The total irreversible head loss of the system is 3 m, and the position of the nozzle is 3 m above sea level. For a pump efficiency of 70 percent, determine the required shaft power input to the pump and the water discharge velocity.

Answers

Answer 1

Answer:

50.93 m/s

199.5 kW

Explanation:

From the question, the nozzle exit diameter = 5 cm, Radius= diameter/2= 5cm/2= 2.5cm. we can convert it to metre for unit consistency= (2.5×0.01)=

0.025m

We can calculate the The cross sectional area of the nozzle as

A= πr^2

A= π ×0.025^2

= 1.9635 ×10^- ³ m²

From the question, the water is moving through the pipe at a rate of 0.1 m /s , then for the water to move through it at a seconds, it must move at

(0.1 / 1.9635 ×10^- ³ m²)

= 50.93 m/s

During the Operation of the pump, the Dynamic energy of the water= potential energy provided there is no loss during the Operation

mgh = 1/2mv²

We can make "h" subject of the formula, which is the height of required head of water

h = (1/2mv²)/mg

h= v² / 2g

h = 50.93² / (2 ×9.81)

h = 132.21m

From the question;

The total irreversible head loss of the system = 3 m,

the given position of nozzle = 3 m

the total head the pump needed=(The total irreversible head loss of the system + the position of the nozzle + required head of water )

=(3 + 3 + 132.21m)

=138.21m

mass of water pumped in a seconds can be calculated since we know that mass is a product of volume and density

Volume= 0.1m³

Density of sea water=1030 kg/m

(0.1 m^3× 1030)

= 103kg

We can calculate the Potential enegry, which is = mgh

= (103 ×9.81 × 138.21)

= 139651.5 Watts

= 139.65kW

To determine required shaft power input to the pump and the water discharge velocity

Energy= efficiency × power

But we are given efficiency of 70 percent, then

139651.5 Watts = 0.7P

=199502.18 Watts

P=199.5 kW

Therefore, the required shaft power input to the pump and the water discharge velocity is 199.5 kW


Related Questions

A 20 kg mass is hanging on one side of a pulley and a 5 kg mass is hanging on the other. Determine the acceleration of each mass.

Answers

Answer:

i believe it's 7

Explanation:

HELP ASAP !
Which of the following situations would result in no work done by the force indicated?

a
The object undergoes only a slight displacement while the force is acting on it.
b
The force is perpendicular to the displacement of the object.
c
The force is not completely parallel to the displacement of the object
d
All of the above result in no work done by the force indicated.

Answers

Answer:

b  The force is perpendicular to the displacement of the object.

Explanation:

Work is done when a force is applied on a body causing it to move in a particular direction.

  Work done  = Force x displacement

For work to be done, a force must applied on a body to move it through a specific distance in direction.

When force is perpendicular to the displacement of the object, the component vector resolution is 0 and the work done is 0.

6. A car drives 750 miles in 10 hours. Calculate the speed of the truck


.

Answers

Answer:

75 miles an hour

I hope this is correct and helps

If you add an additional neutron to an atomwhat do you create?

Answers

Answer:

However, if you add a thousand neutrons, you will be creating one super-radioactive atom. Neutrons play a major role in the mass and radioactive properties of atoms. You may have read the page on isotopes. Isotopes are created when you change the normal number of neutrons in an atom.

Explanation:

The neutron is a subatomic particle, symbol n or n⁰, which has a neutral (not positive or negative) charge and a mass slightly greater than that of a proton. Protons and neutrons constitute the nuclei of atoms. Since protons and neutrons behave similarly within the nucleus, and each has a mass of approximately one atomic mass unit, they are both referred to as nucleons. Their properties and interactions are described by nuclear physics.

where does reduction occur in an electrolytic cell
a. cathode
b. salt bridge
c. anode
d. wire

Answers

Answer:

The answer is actually a. Cathode

Explanation:

Just took the quiz

In an electrolytic cell, the reduction occurs at the cathode. So, the correct option is a.

What is meant by reduction ?

Reduction is defined as the process through which a reactant gain electrons during a chemical reaction.

Here,

An electrolytic cell is an equipment that uses electric current to drive a redox reaction.

Redox reactions are the type of reaction that involves the transfer of electrons between the reactants. That means, in redox reactions, both oxidation and reduction occurs. The reactant that gains the electrons is said to be reduced and the one that losses the electrons is said to be oxidized.

In an electrolytic cell, cathode is the positively charged electrode. So, electrons are attracted towards it, and as a result, the cathode gets reduced.

Hence,

In an electrolytic cell, the reduction occurs at the cathode.

To learn more about reduction, click:

https://brainly.com/question/1222373

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7. A 1000-kg car comes to a stop without skidding. The car's brakes do 50,000 J of work
to stop the car. Which of the following was the car's velocity when the brakes were
initially applied?

Answers

Answer:

10 m/s

Explanation:

A food packet is dropped from a helicopter during a flood-relief operation from a height of 750 meters. Assuming no drag (air friction), what will the velocity of the packet be when it reaches the ground?

Answers

Answer: 121.2 m/s

Explanation:

Here we will use the conservation of energy.

We can write the total energy of an object as:

E = K + U

For this particular case we have:

K = kinetic energy = (m/2)*v^2

U = potential energy = m*g*h

where:

m = mass of the object.

g = gravitational acceleration = 9.8m/s^2

h = height at which the object is dropped, in this case 750m

v = velocity of the object.

Right when the packet is dropped, it's velocity is equal to zero, this means that there is no kinetic energy and only potential energy, then we have:

Ei = Ui = m*9.8m/s^2*750m = m*(7350m^2/s^2)

And when the object is about to hit the ground, h will be almost equal to zero, this will mean that we will have only kinetic energy, and because of the conservation of energy, this final energy must be the same as the initial energy, then we will have

Ei = Ef

m*(7350m^2/s^2) = Ef = Kf

m*(7350m^2/s^2) = (m/2)*v^2

We can divide by m in both sides to get:

(7350m^2/s^2) = (1/2)*v^2

√( 2*(7350m^2/s^2)) = v = 121.2 m/s

Then the velocity of the packet when it reaches the ground is 121.2 m/s

Which is true of the greenhouse effect?

A. It is purely a manmade phenomenon.
B. it does not involve carbon dioxide.
C. It causes cooling of Earth's atmosphere.
C. it traps thermal energy from the Sun.

Answers

Answer:

c is correct option thanks to brainly

Gravity affects atmospheric pressure true or false

Answers

Answer:

false

Explanation:

If you are sitting in a bus that is traveling along a straight, level road at 100 km/hr., you are traveling at 100 km/hr too. (a) If you hold an apple over your head, how fast is it moving relative to the road? (b) Relative to you? (c) If you drop the apple, does it still have the same horizontal motion? Explain.
What Law is it?

Answers

(a) The velocity of the apple with respect to the road is 100 km/h.

(b) The velocity of the apple with respect to you is 0 km/h.

(c) If you drop the apple the horizontal velocity will not change due to law of conservation of linear momentum.

What is the relative velocity of the apple?

The relative velocity of the apple placed over your with respect to the road is calculated as follows;

Velocity of the apple = 100 km/h

Velocity of the road = 0 km/h

Va/r = 100 km/h - 0 km/h

Va/r = 100 km/h

The velocity of the apple relative to you is calculated as follows;

your velocity = 100 km/h

velocity of the apple = 100 km/h

Va/y = 100 km/h - 100 km/h

va/y = 0 km/h

If you drop the apple, the horizontal velocity will remain the same, because gravity does not affect horizontal motion.

The law is law of conservation of linear momentum.

Learn more about relative velocity here: https://brainly.com/question/17228388

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Form hypothesis: How do you think increasing the resistance in a circuit will affect the current in the wire? (format: if, then, because)

Answers

Answer:it would make it thicker

Explanation:

Answer:

"The equation shows that the current in a circuit is inversely proportional to the resistance of the circuit. An increase in resistance would result in a decrease in current. And the factor by which the resistance increases is the same factor by which the current decreases."

Explanation:

Because it's just like wearing a glove/mitten when getting something out of the oven, because of the insulation from the glove/mitten, it reduces the heat that gets through into your hand, and it protects it. Just like what the "answer" says, it said that the resistance would decrease current.

how longitudinal waves are formed

Answers

Answer:

forever

Explanation:

Air molecules move in a direction that is parallel to the direction that the wave moves, the sound waves is referred as a longitudinal wave .

A 10kg ball has a momentum of 40 kg.m/s. What is the ball’s speed.

Show the work and equations.

Answers

Answer:

4 m/s

Explanation:

The speed of the ball can be found by using the formula

[tex]s= \frac{p}{m} \\ [/tex]

p is the momentum

m is the mass

From the question we have

[tex]v = \frac{40}{10} = 4 \\ [/tex]

We have the final answer as

4 m/s

Hope this helps you


If the person's velocity is changing is the person
accelerating

Answers

Answer:

a change in velocity can be a change in magnitude (or speed), but it can also be a change in direction.

A baseball on the Moon and an identical baseball on the Earth are thrown vertically upward with the same initial velocity of 12 m/s. The acceleration due to gravity on the Moon is 1/6 that of Earth. What is the maximum height the ball reaches on the moon? What is the maximum height the ball reaches on the earth? What is the difference in the maximum height the ball reaches on the Moon compared to on Earth?

Answers

Answer:

a. 3.68 m b. 0.61 m c. 3.07 m

Explanation:

a. What is the maximum height the ball reaches on the moon?

Using v² = u² - 2g'h where u = initial velocity of baseball = 12 m/s, v =  final velocity of baseball = 0 m/s (since it stops at maximum height), g' = acceleration due to gravity on moon = g/6 where g = acceleration due to gravity on earth = 9.8 m/s², so g' = 9.8 m/s²/6 = 1.63 m/s² and h = maximum height of ball on moon.

So, making h subject of the formula, we have

h = -(v² - u²)/2g'

substituting the values of the variables, we have

h = -((0 m/s)² - (12 m/s)²)/2(1.63 m/s²)

=  -(- 12 m²/s²)/2(1.63 m/s²)

= 6 m²/s²)/(1.63 m/s²)

= 3.68 m

b. What is the maximum height the ball reaches on the earth?

Using the same equation for the maximum height the baseball travels on the moon for that on the earth, the maximum height h' the baseball travels on the earth is given by  

h' = -(v² - u²)/2g where u = initial velocity of baseball = 12 m/s, v =  final velocity of baseball = 0 m/s (since it stops at maximum height),  g = acceleration due to gravity on earth = 9.8 m/s²and h' = maximum height of ball on moon.

substituting the values of the variables, we have

h = -((0 m/s)² - (12 m/s)²)/2(9.8 m/s²)

=  -(- 12 m²/s²)/2(9.8 m/s²)

= 6 m²/s²)/(9.8 m/s²)

= 0.61 m

c. What is the difference in the maximum height the ball reaches on the Moon compared to on Earth?

The difference in the maximum height the ball reaches on the Moon compared to on Earth is d = h - h' = 3.68 m - 0.61 m = 3.07 m

What term or phrase describes a point that appears to stay in place and can be used to detect the motion of an object?

Answers

the answer should be a reference point

Answer:

reference point

Explanation:

you can use a reference point to tell when an object is in motion or staying still. :)

A power plant to represent the need for and use for energy; label it energy production.

Answers

I’m confused about this question

Help me pretty please with a cherry on top!!

Answers

it doesnt show anything for me..


explaination :: cornje

Answer:

A. im not for sure hope it helps

Explanation:

If a refrigerator draws about 0.5 amps when plugged into a 120 V wall outlet how much power (watts) does it use?

Answers

Answer:60 W

Explanation:

what is the two kinds of solids in amorphous

Answers

Solids can be classified into two types: crystalline and amorphous. Crystalline solids are the most common type of solid. They are characterized by a regular crystalline organization of atoms that confer a long-range order. Amorphous, or non-crystalline, solids lack this long-range order.

Answer: Key Points
Explanation: Solids can be classified into two types, crystalline and amorphous. They are characterized by a regular crystalline organization of atoms that confer a long-range order.
Amorphous, or non-crystalline, solids lack this long-range order.

If this does not answer your question, we can have a conversation in the comments of this answer. Thank you.

A soccer player kicks a ball 6.5 meters. How much time is needed for the ball to travel this distance if its velocity is 22 meters per second?

Answers

. . .

. . .

. . .

!

.

Your answer is 0.30 seconds

Should the resistance of an ammeter low or high ?give reason

Answers

Answer:

The resistance of an ammeter should be low. This is because an ammeter is connected in series with the circuit for the measurement of electric current. In case, its resistance is high, then some amount of current may lost in heating it leading to the inaccurate reading. An ideal ammeter is one which has zero resistance.

Which of the following is NOT a characteristic of members of the plant kingdom?

A.Specialized tissues for water absorption

B. Cells are eukaryotic

C. Perform photosynthesis to produce glucose

D. Cell wall made of cellulose

Answers

Answer:

A. i think

Explanation:

a. specialized tissues for water absorption

How do I calculate how many meters are in 7.2 light years?
The exact question is:
Calculate in meters the distance between a galaxy and the Earth if the distance is equal to 7.2 light years.

Answers

Answer:

68.2 Quadrillion meters

Explanation:

A lightyear is the distance that light travels in one year.

Speed of light is [tex]3*10^8\ m/s[/tex]

So light covers 300,000,000 meters in one second.

One year has 31536000 seconds so , light covers

[tex]9.461*10^{15}\ meters\ in\ one\ year[/tex]

so 7.2 light years is

[tex]7.2*(9.461*10^{15})\\6.82*10^{16}[/tex]

so 7.2 light years is

6.82 x 10^(16) meters or

68.2 Quadrillion meters

4. If you fall out of a plane and point your head down, it would take about 5 s to
reach a velocity of 49.1 m/s downward. What is the acceleration of gravity?

Answers

Answer:

acceleration due to gravity is always going to be 9.8m/s^2 whenever an object is freely falling.

Explanation:

You could also divide 49.1 m/s by 5s to get an acceleration of 9.8 m/s^2 as well.

Plz di all plz i will give brainest and thanks to best answer do it right

Answers

Answer is wavelength

Hope this helps and good luckkk :))))

HELP ASAP

The Target employees are working hard to get the orders out to everyone. The employees need to move packages from the ground level to the top of the loading dock platform. As shown in Figure 1, the employee pushes the package up a ramp (you may assume friction is negligible). In figure 2, the employee lifts the package straight up from ground to the loading dock platform. In which case does the employee do more work on the box and why?

a
Lifting the box straight up, because the incline acts as a simple machine and reduces the force required
b
Lifting the box straight up, because it requires a larger applied force to lift it straight up
c
Pushing the box up the incline, because the force is applied for a longer distance
d
Neither method, because the work is the same in both cases, since using the ramp decreases the force by the same factor that it increases the distance

Answers

Answer:

I believe the answer is B

Ronald observes a large island off the coast of Indonesia on a map. A few months later, he observes that there are many smaller islands in place of the large one he had seen earlier. Which of these could have caused this change?

Answers

D is the correct answer

Answer:

idgaf

Explanation:

lol

A 50 kg object is accelerating to the right at 5 m/s2. What is the net force acting on the object?

Answers

Answer:

250 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 50 × 5

We have the final answer as

250 N

Hope this helps you

21. A teacher does the following:
i. walks 4 m, south
ii. walks 8 m, east
iii. walks 4 m, north
iv. walks 8 m, west.
The overall displacement of the teacher is
a. Om
b. 6 m
c. 12 m
d. ... Nonsense! It cannot be calculated without knowing time information.

Answers

Answer:

displacement is the change from a starting point. she ends up back where she started so her displacement is zero meters although she traveled 24m in all.

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