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

How does the electric force between two charged particles change if the
distance between them is reduced by a factor of 2?
A. It is reduced by a factor of 2.
B. It is increased by a factor of 4.
C. It is increased by a factor of 2.
D. It is reduced by a factor of 4.

Answers

Answer:

increased by a factor of 4

Explanation:

please help me pwease

Answers

Answer:

Iron

Explanation:  It is by mass the most common element on Earth, right in front of oxygen, forming much of Earth's outer and inner core.

A gun fires a bullet horizontally with a velocity of 90 m/s from a tower. Neglecting air resistance, how far will the bullet travel horizontally in 4 seconds?​

Answers

Answer:

The distance covered along the horizontal axis is [tex]s = 360 \ m[/tex]

The distance covered along the vertical  axis is  [tex]h = 78.4 \ m[/tex]

Explanation:

From the question we are told that  

    The horizontal velocity is  [tex]u_x = 90 \ m/s[/tex]

     The time considered is  [tex]t = 4 \ s[/tex]

Generally the distance which the bullet will cover in the horizontal direction for the given time is  mathematically represented as

    [tex]s = u_xt + \frac{1}{2}* at^2[/tex]

Here a is the acceleration along the horizontal direction and the value is  [tex]a = 0 \ m/s^2[/tex]

So

     [tex]s = 90 * 4 + \frac{1}{2}* * 0 * 4^2[/tex]

=>  [tex]s = 360 \ m[/tex]

Generally the distance which the bullet will cover in the vertical  direction for the given time is  mathematically represented as

            [tex]h= u_y t + \frac{1}{2}* gt^2[/tex]

Here  [tex]u_y[/tex] is the initial  velocity of the bullet along the vertical axis and the value is  [tex]u_y = 0 \ m/s[/tex]

             [tex]h = 0 * 4 + \frac{1}{2}* 9.8 *4^2[/tex]

=>          [tex]h = 78.4 \ m[/tex]

 

what is a nuclear energy?

Answers

Answer:

Nuclear Energy is the energy released during nuclear fission or fusion, especially when used to generate electricity.

Hope this helped! Give me Brainiest

The water cycle is an example of a * 2 points A) matter being cycled in a closed system B) an open system because water can come in from outside Earth's closed system C) energy being cycled in an opened system D) matter being cycled in an open system

Answers

D.matter being cycled in an open system

Which choice would reveal a chemical property of water?
A)
boiling water
B)
melting an ice cube
C)
freezing a cup of water
D)
testing to find out the pH of water

Answers

Answer:

D

Explanation:

Testing The PH Means Testing The acidity level of the water of which would be a chemical reaction

When you walk across the ground and push on it with your feet...
Group of answer choices

The ground pushes back more strongly than your feet

The ground pushes back on your feet with equal force

There is no effect on the ground

The ground pushes back less strongly than your feet

Answers

Answer:

The ground pushes back on your feet with equal force

Explanation:

When you walk across the ground and push on it with your feet, the ground pushes back on your feet with an equal and opposite force.

This interpretation and knowledge is gotten from Newton's third law of motion.

It states that "action and reaction force are equal and opposite in nature".

The force applied to a body responds with an opposite force in the other direction. Therefore, the reaction force is of equal magnitude but directed in another direction.

Answer:

the answer is the second one: the ground pushes back on your feet with equal force

Explanation:

You use a lever to lift a heavy tree branch. You apply a force of 30 N and the
lever lifts the branch with a force of 120 N. What is the mechanical advantage
of the lever?
A. 4
B. 0.25
C. 2
D. 90

Answers

Answer:

D 90 subtract it

Explanation:

An 80.0 kg fisherman jumps into a 37.5kg boat that is at rest. If the velocity of the fisherman is 5.60m/s when he jumps from the dock, what will be the velocity of the boat and fisherman after he lands in the boat?

Answers

Answer:

The velocity of the boat and fisherman after he lands in the boat is 3.812m/s

Explanation:

We will solve this question on the general Derivation for general case of a man jumping n the boat

m = Mass of the man = 80kg

M= mass of the boat 37.5kg

V(m, g) = Velocity of man with respect to ground = 5.6m/s

V(b , g) = Velocity of boat with respect to ground = Vo = 0m/s ( rest)

velocity of the boat and fisherman after he lands in the boat = V1

As there is no external force acting on the man then we can apply conservation of the Linear Momentum.

m*V(m, g) + M*Vo = (M+m)V1

[tex]V1 = \frac{ m*V(m, g) + M*Vo}{M+m}[/tex]

 On substituting the values we get

V1 = [tex]\frac{80*5.6 + 37.5*0}{80+ 37.5}[/tex]

V1    = [tex]\frac{448}{117.5}[/tex] = 3.812 m/s

Therefore the velocity of the boat and fisherman after he lands in the boat is 3.812m/s.

I WILL MAKE U BRAINLIEST PLEASE ANSWER !!!!!!!!

Venmoing if answered —

ANSWER PLS ! 15 POINTS!

Question: If you are traveling by train and the trip is 125 miles and takes 2 hours winding through the mountains, a) whats average speed? b) how would this be different if the train in each of the following situations- Train at rest, Train traveling at constant speed in a straight line, and the Train with a braking force (the train in the middle of coming to a stop)

PLEASE ANSWER ALL ASAP

Answers

Answer:

Average speed 62.5 miles an hour.  If the train was traveling at a constant speed in a straight line it would be much faster on getting to its destination

Explanation:

An object has an x-momentum of 8.5 kilogram-meters/second and a -momentum of 9.8 kilogram meters/second. What Is resultänt
momentum of the object?
OA 15.5 kilogram-meters/second
OB. 14.8 kilogram-meters/second
0c 12.97 kilogram-meters/second
OD. 16.8 kilogram-meters/second

Answers

Answer:

The resultant momentum is 12.97 kg.m/s. Choice: c

Explanation:

Momentum

The momentum is a vector that measures the quantity of motion that an object has. It's also known by the term "mass in motion".

As a vector, it can be expressed by its rectangular components:

[tex]\vec p = p_x\mathbf{i}+p_y\mathbf{j}[/tex]

The magnitude of the momentum is:

[tex]\mid \mid \vec p \mid \mid =\sqrt{p_x^2+p_y^2}[/tex]

The object described has an x-component of:

px=8.5 Kg.m/s

And a y-component of:

py=9.8 Kg.m/s

Thus, the magnitude of the momentum is:

[tex]\mid \mid \vec p \mid \mid =\sqrt{8.5^2+9.8^2}[/tex]

[tex]\mid \mid \vec p \mid \mid =\sqrt{72.25+96.04}[/tex]

[tex]\mid \mid \vec p \mid \mid =\sqrt{168.29}[/tex]

[tex]\mid \mid \vec p \mid \mid =12.97[/tex]

The resultant momentum is 12.97 kg.m/s. Choice: c

plzzzz help it for civics

Answers

Answer:

A : the colonists dumped tea in Boston Harbor

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:

Where is the planet moving faster?

Answers

Do you mean what planets moves the fastest?

You are in a plane, and hit a bird as your flying, how can this impact produce a large impulse, despite the plane being much bigger

Answers

It effects the balance of the plane, and slows it. Also you are likely moving faster than the bird, and it would be almost as if you are hitting a brick. However when it makes the plane impulse then it means the sudden loss of speed (even if it is a small bird) that is keeping the plane in the air causes the planes engines to struggle for a short amount of time, while it tries to recover the little amount of speed it has lost (the engines HAVE to regain full speed or the plane will turn to the ground, maybe not ALL the way but it still will lower the nose.

Hope this helps,

Miri

There are three types of friction. ______________ friction occurs when an object is not moving. ______________ friction occurs when an object is moving against another surface. ______________ friction occurs in the case of wheels or other round objects. The amount of friction depends on two things.First, how ______________ the surfaces are; and second, how ______________ the object is. It is ______________ to keep an object moving than to start it moving. This is because static friction is ______________ than sliding friction.

Word Bank:

static
sliding
rolling
bumpy
heavy
easier
greater

Answers

Answer:

1. Static friction = not moving

2.  sliding friction = moving

3. rolling friction = wheels

4. bumpy the surfaces are

5. how heavy the object is

6. it is easier to keep an object moving

7. static friction is GREATER than sliding friction

Explanation:

HELP ASAP!!! How many electrons fit into each electron shell?
K
L
M
N

Answers

Answer:

k = 2

L = 8

M = 18

N = 32

plz mark me as a brainelist

The snow fell on me is my excuse so my mom won’t know that I’m getting bullied

Answers

Answer:

Aaaaw noooo. :(

Explanation:

what did they say to u and what state do u live in. I will help u stand up to them. I have taken down many bullies before by using words. in fourth grade, my friend was getting bullied by the class, then yelled and stood up for her. they all fell silent and never bullied her, or any of my friends again. For whatever reason they bully u is probably d.u.m.b. which means they r really d.u.m.b. Also, U should try finding out a lot of personal info about them that they dont want anyone to know. also tell the principal. Is ur mom nice, or mean? if shes nice, she'll support u and fight for u, which means u should address

Answer:

You should stick up for yourself because if you don't then no one else will but im always here to talk to you if you need someone

Explanation:

In baseball/softball how many players play in the field at one time?​

Answers

Nine players would be on the field

Answer:

10 players

Explanation:

Using the picture above, which ball has the greatest potential energy?

Answers

Ball 4 because the higher the elevation is the greater the potential energy it has

Ball 1 has the greatest amount of potential energy inside it because it has the maximum height among all the balls shown in the graph.

What is Potential energy?

Potential energy is the stored energy which depends upon the relative position of various parts of a system. A spring has more potential energy when it is compressed or stretched due to external force.

Potential energy is not affected by the environment outside of the object or its system, such as the air or height. On the other hand, kinetic energy is the energy of an object or a system's particles in motion.

The potential energy of an object depends on the force acting on the two objects. For the gravitational force, the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity and h is the height in meters.

The object 1 has maximum height hence, it has greatest potential energy.

Learn more about Potential energy here:

https://brainly.com/question/24284560

#SPJ6

Which type of wave can travel through empty space?
PLZ HELP ME BEST ANSWER WILL GET BRAINLIEST
AND IM SRS ABT THIS QUESTION

Answers

Answer:

Electromagnetic waves.

Explanation:

Electromagnetic waves include microwaves, X-rays, gamma rays, and light waves, it carries energy and it can travel through matter or empty space.

Answer:

Electromagnetic waves or Light Waves

Explanation:

"Electromagnetic waves carry energy. The waves consist of transverse vibrations in electrical and magnetic fields, not vibrating particles. Electromagnetic waves do not need matter to travel through - they can travel through empty space (a vacuum)."

 

...Bored so 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

A pendulum swings back and forth. Is there energy in the system?

Answers

Answer:

yes

Explanation:

A pendulum should be able to contain enough energy to constantly be moving

What do you think menas to be Physically fit.

Answers

Answer:

consistently working out and eating healthy i guess

Explanation:

Answer:

To have a strong body (not only visible muscles). Physically fit is to eat well also. Eat healthy more! Your body might not be packin, but it sure is strong!

Explanation:

Hope this Helps!

Have a great day!

:)

1. State any ten reasons why students in Uganda need to study Physics? Use
examples of the possible technological advancements which can be made
using the knowledge of Physics.

Please Guys help me ​. I will mark the brainliest if you give the correct answers. please ❤❤❤

Answers

Answer:

physics

Explanation:

physics needs to be steady whether you like it or not it helps you in life so everybody must study physics no matter is in Uganda USA and plenty more countries there must be physics to dare to be studied

Answer:

Explanation:

it also hleps us to became doctors becuase without physics you can't be a doctor

Please help ASAP, studying for finals.
A racecar rounds a curve on the track at a constant speed of 180 mph. Is the car accelerating?
1)No, its mass is constant.
2)Yes, its mass is constant.
3) No, its speed is constant.
4)Yes, its speed is constant.

Answers

Answer:

3)No, it's speed is constant.

Name the following ionic compounds: BeCl2​

Answers

Answer:

Beryllium chloride

Explanation:

I hope this helps!

Can I get branliest?!

How to find acceleration?

Answers

Answer:

a=(v-u)/t is how you find acceleration.

You have a 100 N object with a normal force of 100 N. You apply a 50 N push to the right, but a friend is hiding on the other side of the object and is also pushing with a force of 60 N. What is the net force on the object?

Answers

Answer:

100.49N

Explanation:

First we must know that the normal force acts in the vertical direction;

The force required to push to the right and left acts in the horizontal direction;

Sum of force along the horizontal Fx = 50N - 60 N = -10N

Force along the vertical Fy = 100N

The net force on the object is calculated as;

F = √(Fx)² + (Fy)²

F = √(-10)² + (100)²

F = √100 + 10000

F = √10,100

F = 100.49N

Hence the net force on the object is 100.49N

Light that enters your eye strikes cells in the back of your eye
true
False

Answers

Answer: True

Explanation: Light enters your eye through the lens which then hits the retina which is located in the back of your eye.

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