A 3-m-diameter tank is initially filled with water 2 m above the center of a sharp-edged 10-cm-diameter orifice. The tank water surface is open to the atmosphere, and the orifice drains to the atmosphere through a 100-m-long pipe. The friction coefficient of the pipe is taken to be 0.015 and the effect of the kinetic energy correction factor can be neglected. Determine (a) the initial velocity from the tank (5 points); and (b) the time required to empty the tank (5 points). (Q.8-78, E-book)

Answers

Answer 1

Answer:

a) 1.542 m/s

b) t = 38.91 mins

Explanation:

Given data:

Diameter of tank ( D ) = 3 m

height of tank ( initial ) ( h =  z1 ) = 2m

Diameter of sharp edged orifice = 0.1 m

pipe length ( L ) = 100 m

coefficient of friction of pipe ( f ) = 0.015

∝1 = ∝2 = 1

A) calculate initial velocity from the tank

since the fluid is open to the atmosphere ; p1 = p2 = Patm ( atm pressure )

the initial velocity of the tank can be determined with the equation below

V = [tex]\sqrt{\frac{2gZ1}{1 + f \frac{L}{d} + K _{L} } }[/tex]  ---- ( 1 )

where : Z1 = 2m , f = 0.015, L = 100m ,  Kl = 0.5m , d = 0.1 m , g = 9.81m/s^2

input given values into equation 1 above

V = 1.542 m/s

b) Determine time required to empty tank

Given velocity = [tex]\sqrt{\frac{2gZ1}{1 + f \frac{L}{d} + K _{L} } }[/tex]  and Flow rate = [tex]\sqrt{\frac{2gZ1}{1 + f \frac{L}{d} + K _{L} } }* \frac{\pi }{4} *d^2[/tex]

differentiate the flow rate ( dt ) and then integrate the equation to get the required expression

t = [tex]\frac{2D^2}{d^2} \sqrt{\frac{(1+f\frac{L}{d}+K_{L})Z_{1} }{2g} }[/tex]   -------- ( 2 )

where : : Z1 = 2m , f = 0.015, L = 100m ,  Kl = 0.5m , d = 0.1 m , g = 9.81m/s^2, D = 3m

input values into equation 2

t = 38.91 mins


Related Questions

Please Help!!!

For A&B

Answers

Answer:

A. 40N

B. 5m/s

Explanation:

A.

Impulse is equal to the area under the curve of a force vs. time graph. In this case, the area is in the shape of a triangle with base 8 (12-4=8) and perpendicular height 10:

Area of a triangle = (1/2)bh

A=(1/2)*8*10

=40

ANSWER: 40N

B.

Impulse = mass * velocity

40 = 8v

v = 5

ANSWER: 5m/s

Which statements about magnetic fields are true? Choose more than one answer.
They attract certain metals
They require electric currents
They exert force
Electricity can create them
They grow stronger with distance from the magnet
They all have the same strength

Answers

Answer: THEY ATTRACT CERTIN METALS

THEY REQUIRE ELECTRIC CURRENTS

THEY EXERT FORCE

Explanation:

The true statements about magnetic fields are

They attract certain metals.They require electric currents.They exert force.

What is magnetic fields?

The magnetic field is the area around a magnet in which the effect of magnetism is felt. The magnetic field is used to describe how the magnetic force is distributed in the space around and within something magnetic in nature.

A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field.

The properties of magnetic field are

The direction of the magnetic field lines is from the south pole to the north pole.Magnetic field lines never intersect with each other.Magnetic field lines form a closed-loop.Field lines have both direction and magnitude at any point on the field.

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An object is placed 250 cm in front of a concave circular mirror, and the image of the object also appears at 250 cm in front of the mirror. What is the radius of curvature of the mirror?
500 cm
125 cm
25.0 cm
250 cm

Answers

Answer:

Radius of curvature of the mirror = 250 cm

Explanation:

Given:

Object distance from mirror = 250 cm (u=-250)

Object distance appears in mirror = 250 cm (v=-250)

Find:

Radius of curvature of the mirror

Computation:

Using mirror formula

1/f = 1/v + 1/u

1/f = 1/(-250) + 1/(-250)

f = (-250/2)

f = -125 cm or 125 cm

Radius of curvature of the mirror = 2(f)

Radius of curvature of the mirror = 2(125)

Radius of curvature of the mirror = 250 cm

what is molecular force and gravitational force with their examples .​

Answers

Answer:

Gravitational force is the force of attraction on a body by earth. Example - Leaves and fruits fall from a tree downwards towards the ground due to the gravitational pull. ... T-shirt for is basically the force Of attraction On a body And this force of attraction on the body is by Earth.

Intermolecular forces act between molecules. ... Intermolecular forces are weaker than intramolecular forces. Examples of intermolecular forces include the London dispersion force, dipole-dipole interaction, ion-dipole interaction, and van der Waals forces.

Explanation:

Explanation:

I am sure you are Clear. Thanks.

Water enters a shower head
through a pipe of radius 0.0112 m
at 3.75 m/s. It flows through 25
small holes, each of radius
0.001200 m. At what speed does
water come out of the shower
head? (Don't forget, there are 25
holes, not 1.)
(Unit = m/s)

Answers

Answer:

13.1

Explanation:

thats what i put in for acellus and its right

Ton is used for measure very big masses.
right or wrong

science ​

Answers

Answer:

Explanation:

The correct answer is right

Answer:

True

Explanation:

Ton is a unit that is used to measure huge masses like cars, trucks and huge boxes

How do pigs mate with eachother?

Answers

They touch each other and make nuzzling a part of their courtship. During courtship, the boar may nudge and nuzzle the sow's flank, head, genital area and shoulders, showering her with his attention. The sow and boar sing to each other as they nuzzle and chase each other.

Answer:

Pigs enjoy touching each other and make nuzzling a part of their courtship. During courtship, the boar may nudge and nuzzle the sow's flank, head, genital area and shoulders, showering her with his attention. The sow and boar sing to each other as they nuzzle and chase each other.

Explanation:

wanna rp?

You are pulling with 57 N on a heavy bookshelf, but the bookshelf doesn't move. What is the force of static friction in Newtons acting on the bookshelf?​

Answers

Answer:

57N

Explanation:

Since the bookshelf isn't moving, the force you're exerting on the shelf must be equal to the force of static friction

So the force of static friction is 57N

Answer:57

Explanation:

A 4.0 kg mass has a velocity of 10 m/s to the EAST. The 4.0 kg mass is subjected to a constant net force of 16 N to the WEST for 3.0 sec. What is the velocity of the 4.0 kg mass at the end of the 3.0 sec interval?​

Answers

Answer:

Explanation:

A 4.0 kg mass has a velocity of 10 m/s to the EAST. The 4.0 kg mass is subjected to a constant net force of 16 N to the WEST for 3.0 sec. What is the velocity of the 4.0 kg mass at the end of the 3.0 sec interval?​

The final velocity of the 4.0 kg mass is equal to 22 m/s.

What is Newton's second law of motion?

According to Newton’s second law of motion, the force acting on the object equals the mass of that object times its acceleration for a constant mass.

The acceleration of an object depends on two variables, one is the mass of the object and another is the net force acting. The acceleration of an object is directly proportional to the force acting on the body and inversely proportional to its mass.

The equation of Newton’s second law can be represented as follows:

F = ma  

or, a = F/m

Given, the initial velocity of the mass, u = 10m/s

The mass, m = 4.0 Kg

The force acting on the mass, F = 16 N

The acceleration of the mass will be: a = F/m

a = 16/4 = 4 m/s²

From the 1st equation of motion: v = u + at

The velocity after t = 3 sec can be calculated:

v = (10) + (4) × (3)

v = 10 + 12

v = 22 m/s

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Which list of elements is placed in order from most reactive to least reactive?
A. K, Ca, Kr, Ge
B. K, Ca, Ge, Kr
C. Ca, K, Kr, Ge
D. Ge, Kr, Ca, K

Answers

All four elements given in the answer choices are on the same period. The least reactive element should be Kr, since it is a noble gas. By that fact alone, B would be the correct answer.

B is also correct as non-d-block metals increase in reactivity from left to right on along a period. The order of the metals (Ge is often considered a metalloid) conforms with that trend.

Aliyah and Kofi are in the middle of a rally. Aliyah hits the ball to the right side of the court as Kofi is moving to the left side of the court. Kofi must
change directions quickly and stretch his arm to be able to return the ball, which combination of skill-related and health-related components of fitness
must he use?
O Agility and Flexibility
O Balance and Cardiorepiratory Endurance
O Power and Muscular Strength
O Reaction Time and Muscular Endurance

Answers

Answer:

Agility and Flexibility.

Explanation:

Agility for change of direction and Flexibility to stretch his arm

How many joules of kinetic energy does a pendulum have when it has 100 joules of potential energy

Answers

Answer:

The maximum kinetic energy is 100 j.    

Explanation:

The kinetic energy = (potential energy) + (kinetic energy) and the potential energy of 0 J implying its kinetic energy is 100 J, which is its maximum.

Answer :100J of KE.

Explanation:

____ livestock are produce with extra copies of growth hormone genes to allow them to grow faster and produce meat that is low in fat
A) Cloned
B) Transcribed
C) Transgenic
D) Translated

Answers

I think your answer is b

Questlon 6 of 10
In these magnets, why do the poles closest to each other attract?
S
S
O A. The magnetic field is stronger between two like magnetic poles.
B. The magnetic fields of the two magnets repel each other.
C. The opposite poles of the two magnets push the magnets
together.
D. The two poles closest to each other are opposite magnetic poles.

Answers

Answer:

The two poles closest to each other are opposite magnetic poles

Explanation:

Just took the test

Answer:

its all of them

Explanation:

Select the correct answer.
Which of the following best describes an intermediate runner?

A. Able to alternate running 2 minutes, walking 1 minute

B. Able to run a mile without stopping

C. Able to run at least 30 minutes, 3-5 times a week

D. Able to run 1 mile in 10 minutes or less

Answers

I would say answer D

A is very easy, so that's off the table, while be is a little too advanced for intermediate, and C is way to advanced for intermediate.

So yeah, D

It would probably be D

A woman has one damaged fallopian tube. The damage completely blocks the opening of the tube at the ovary. How will this most likely affect her fertility?
Her likelihood of conceiving will be reduced by at least 50%.
Her eggs, if fertilized, will not implant properly.
Her eggs will not mature inside the ovary.
Her chances of conceiving twins will be doubled.

Answers

Answer:Her likelihood of conceiving will be reduced by at least 50%.

Explanation:

EDGE 2020

Answer:

Her likelihood of conceiving will be reduced by at least 50%

Explanation:

took the test on edge, got it right

In free fall, where does an object have the slowest speed? *
O Vi
O vf
Vtop
O more than one is correct

Answers

Answer:

vi and vtop = 0

Explanation:

Free fall is a motion of a body in which the only force acting of the body is the Gravitational Force. In this motion body moves with constant acceleration i.e acceleration due to gravity.

When an object is thrown downward from a non zero height say h the motion is referred to as free fall with initial velocity of object beign zero. Hence v=0

In free fall, an object have the slowest speed at the beginning of the motion which is at the top before the object starts to fall. [tex](V_i \ and \ V_{top})[/tex]

During a free fall, the object subjected to only acceleration due to gravity. The velocity of object increases as the object moves downwards and eventually becomes maximum before the object hits the ground.

The final velocity of the object is the greatest while the initial velocity of the object at the top before the free fall is the slowest.

[tex]V_f > V_i \ or\ V_{top}[/tex]

Thus, we can conclude that during a free fall, the velocity of the object increases downwards. The slowest speed can found at the beginning of the motion.

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What could we call the
grocery store?
A. Linear motion
B. Reference point
C. Rotary

Answers

Reference point

Explanation:

I am not sure

A disk of radius 25 cm spinning at a rate of 30 rpm slows to a stop over 3 seconds. What is the angular acceleration? B. How many radians did the disk turn while stopping ? C. how many revolutions? ​

Answers

Answer:

A. The angular acceleration of the disk is -1.047 radians per square second.

B. The disk turns 4.715 radians while stopping.

C. The disk did 0.750 revolutions while stopping.

Explanation:

A. In this case, the disk is deceleration at a constant rate. Hence, the angular acceleration experimented by the object ([tex]\alpha[/tex]), in radians per square second, can be found by means of this kinematic expression:

[tex]\alpha = \frac{\omega-\omega_{o}}{t}[/tex] (1)

Where:

[tex]\omega_{o}[/tex] - Initial angular speed, in radians per second.

[tex]\omega[/tex] - Final angular speed, in radians per second.

[tex]t[/tex] - Time, in seconds.

If we know that [tex]\omega_{o} \approx 3.142\,\frac{rad}{s}[/tex], [tex]\omega = 0\,\frac{rad}{s}[/tex] and [tex]t = 3\,s[/tex], then the angular acceleration of the disk is:

[tex]\alpha = \frac{\omega-\omega_{o}}{t}[/tex]

[tex]\alpha = -1.047\,\frac{rad}{s^{2}}[/tex]

The angular acceleration of the disk is -1.047 radians per square second.

B. The change in position of the disk ([tex]\Delta \theta[/tex]), in radians, is determined by the following kinematic formula:

[tex]\Delta \theta = \frac{\omega^{2}-\omega_{o}^{2}}{2\cdot \alpha}[/tex] (2)

If we know that [tex]\omega_{o} \approx 3.142\,\frac{rad}{s}[/tex], [tex]\omega = 0\,\frac{rad}{s}[/tex] and [tex]\alpha = -1.047\,\frac{rad}{s^{2}}[/tex], then the change in position is:

[tex]\Delta \theta = \frac{\omega^{2}-\omega_{o}^{2}}{2\cdot \alpha}[/tex]

[tex]\Delta \theta = 4.715\,rad[/tex]

The disk turns 4.715 radians while stopping.

C. A revolution equals 2π radians, then, then number of revolutions done by the disk while stopping is found by simple rule of three:

[tex]\Delta \theta = 4.715\,rad \times \frac{1\,rev}{2\pi\, rad}[/tex]

[tex]\Delta \theta = 0.750\,rev[/tex]

The disk did 0.750 revolutions while stopping.

A block is pulled
7.00 meters along a
horizontal
surfacewith a
constant 30.0
newton force.
Calculate the
workdone on the
block.

Answers

The work done by the force for pulling a block till 7 meter along horizontal direction by using force of 30 N is, 210 joules.

What is work ?

In physics, the work is defined as product of Force in the direction motion into distance travelled.

The work done on the block is given by the formula:

Work = Force x Distance x Cos(θ)

where Force is the force applied on the block, Distance is the distance the block is moved, and θ is the angle between the force and the direction of motion.

Given that,

F = 30 N

Distance = 7 m

W = ?

The force is constant and the surface is horizontal,

so the angle θ is equal to 0°, and cos(0°) is equal to 1.

Therefore, the work done on the block can be calculated as:

Work = Force x Distance x Cos(θ)

         = 30.0 N x 7.00 m x 1

         = 210 J

So, the work done on the block is 210 Joules.

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1. An atom that loses electrons has a ________________________ charge and an atom that gains
electrons has a ___________________________ charge.
Charged atoms are called ___________________.
2. What is an insulator? Give 4 examples.
3. What is a conductor? Give an example.
4. How can we move electrons from one place to another? What actually causes the electrons to
move?
5. Static electricity is ______________________________________________________________________
_______________________________________________________________________________________
6. Explain the attraction and repulsion of charges.
7. Why does a balloon stick to the wall?
8. Why does your hair stand up when you take off your hat?
9. Why do you get a shock when you walk across a carpet?
10. When is static electricity most noticeable and why?
11. State the Principle of Conservation of Charge.

12. The invisible electric force field around charged objects depends on __________________________,
__________________________, and _____________________________.
13. What is the relationship between the charges and the field strength?
What is the relationship between the field strength and the distance between the charges?
1. What is DC?
What is AC?
2. Name 3 ways to get DC.
3. What is an electrical circuit?
4. What is voltage?
What is current?
What is resistance?
What causes heat and light in a wire?
COPY THE TABLE comparing water in a hose-DC-units
5. Which electricity do we use in our homes?
CLICK ON ALTERNATING CURRENT
1. Explain AC.
2. Who invented the light bulb?
3. Who really invented AC?
4. Who discovered the advantages of AC over DC?
5. How is AC made?
6. What is the main advantage of AC over DC?

Answers

I’ll start you off

1. Positive, negative, ions

Answer a few yourself and I’ll come back and help some more.

My MASS on Earth (g = 9.81 m/s^2) is 90kg. What is my MASS on the moon
(g = 1.62 m/s^2)? *

Answers

Mass never change in any where coz mass is amount of mater not depend on place

Ms. Senko is moving a desk around her classroom, the desk weighs 125N.
The Coefficient of Static Friction between the desk legs and the floor is
0.35. The Coefficient of Kinetic Friction between the desk legs and the
floor is 0.23 WHAT IS THE FORCE OF FRICTION ON THE table as it is moving

Answers

Answer:

Static force of friction = 428.75 N

Kinetic Force of Friction = 281.75 N

Explanation:

The static force of friction is equal to Coefficient of static Friction * Mass * g

= 0.35 *125 * 9.8

= 428.75 N

The Kinetic force of friction is equal to Coefficient of kinetic Friction * Mass * g

= 0.23 *125 * 9.8

= 281.75 N

Right an essay about 250-200 words about water

Answers

Answer:250-200l Water

Explanation:

what is the movement of energy by waves​

Answers

Answer; thermal energy

Explanation:

'Wave' is a common term for a number of different ways in which energy is transferred: In electromagnetic waves, energy is transferred through vibrations of electric and magnetic fields. In sound waves, energy is transferred through vibration of air particles or particles of a solid through which the sound travels.

What is the salt formed in the second sample reaction?

Answers

Answer:

This powder is sodium chloride. In the second reaction (sulfuric acid with copper(II) oxide) the resulting solution was blue in colour. When this solution was heated a small amount of white powder was noted.

Explanation:

i saw it on quizlet

A piano tuner detects 3 beats per second when she is tuning a string to a tuning fork of frequency 440 Hz. When she tightens the string, which increases the frequency of the string, the frequency of the beats initially goes down, and as she keeps increasing the frequency of the string, the frequency of the beats starts to increase. What was the original frequency of the string

Answers

Answer:

[tex]F_o=437Hz[/tex]

Explanation:

From the question we are told that:

Frequency of Turning fork [tex]F_t=440Hz[/tex]

Number of beats detected [tex]n=3[/tex]  

Generally the equation for Original frequency [tex]F_o[/tex] of the string  is mathematically given by

[tex]F_o=F_t-F_b[/tex]

Where

[tex]F_b[/tex] Beat frequency

[tex]F_b=1Hz*n\\F_b=1Hz*3[/tex]

Therefore

[tex]F_o=440-3[/tex]

[tex]F_o=437Hz[/tex]

1. What is transferred from place to place by waves?

Answers

Answer:

Energy

Explanation:

A wave is a disturbance that transfers energy from one place to another without transferring matter. Waves transfer energy away from the source, or starting place, of the energy.

What does a Keystone species do for the environment?

Answers

keystone species is an organism that helps define an entire ecosystem. By keeping populations of mussels and barnacles in check, this sea star helps ensure healthy populations of seaweeds and the communities that feed on them—sea urchins, sea snails, limpets, and bivalves.

What is the mass of an object if a force of 17 N causes it to accelerate at 1.5 m/s/s?

Answers

Answer:

11.34 i think

Explanation:

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