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

Calculate the net force for each of the following:
a.
20 N to the right and 30 N to the right:

Answers

Answer and Explanation:

A.

There would be a net force of 50 N going to the right.

Since both forces are going right, they add onto the force amount.

#teamtrees #PAW (Plant And Water)

What is the frequency of a wave that has a speed of 500 m/s and a wavelength of 12m?

Answers

Answer:

41.7 Hz

Explanation:

Wavelength= velocity/frequency

or

frequency= velocity/Wavelength

f=500/12

f=41.6666

f=41.7 Hz

Please like and rate. Tnks

Why are objects that fall near Earth's surface rarely in free fall?
O Gravity does not act on objects near Earth's surface.
O Air exerts forces on falling objects near Earth's surface.
O The objects do not reach terminal velocity.
O The objects can be pushed upward by gravity.​

Answers

Answer:

Air exerts forces on falling objects near earth's surface

Explanation:

Falling objects are typically subject to air resistance which prevents the force of gravity on the object

A car on a roller coaster loaded with passengers has a mass of 2.0 x 10^3 kg. At the lowest point of the the track, the radius of curvature is 24 m and the roller coaster car has a tangential speed of 17 m/s

Answers

We have that the  is mathematically given as

Fn=36000N

Force

Question Parameters:

mass of 2.0 x 10^3 kg

the radius of curvature is 24 m and

the roller coaster car has a tangential speed of 17 m/s

Generally the equation for the Force   is mathematically given as

F=ma

Fn-fg=mv^2/r

Fn=m(v^2/r+g)

Therefore

Fn=2000(12^2/18+9.8)

Fn=36000N

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Calculate the speed of an object that travels 75m in 15s.

Answers

Answer:

5m/s

Explanation:

speed=distance/time

=75/15

=5m/s

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.

You and a friend are playing with a bowling ball to demonstrate some ideas of Rotational Physics. First, though, you want to calculate the Rotational Kinetic Energy of the bowling ball as it rolls down a sidewalk without slipping. This means it has both linear kinetic energy and rotational kinetic energy. A bowling ball can be modeled as a solid sphere rotating about its center. This bowling ball has a mass of 6.40 kg and a radius of 0.130 m. You'll need to look up the equation for the Moment of Inertia in your textbook. It is rotating with an angular velocity of 16.0 radians / second in the counter-clockwise (or positive) direction. You can use this to determine the linear velocity of the bowling ball (since it is rolling without slipping). What is the Total Kinetic Energy of the bowling ball

Answers

Answer:

K_{total} = 19.4 J

Explanation:

The total kinetic energy that is formed by the linear part and the rotational part is requested

         [tex]K_{total} = K_{traslation} + K_{rotation}[/tex]

let's look for each energy

linear

        [tex]K_{traslation}[/tex] = ½ m v²

rotation

        [tex]K_{rotation}[/tex] = ½ I w²

the moment of inertia of a solid sphere is

       I = 2/5 m r²

we substitute

       [tex]K_{total}[/tex] = ½ mv² + ½ I w²

           

angular and linear velocity are related

           v = w r

we substitute

           K_{total} = ½ m w² r² + ½ (2/5 m r²) w²

           K_{total} = m w² r² (½ + 1/5)

           K_{total} = [tex]\frac{7}{10}[/tex] m w² r²

let's calculate

           K_{total} = [tex]\frac{7}{10}[/tex]   6.40 16.0² 0.130²

           K_{total} = 19.4 J

HELP PLEASEE

when a person receives an electric shock from wires , is he most affected by a spark, corona, arc or humus solution?​

Answers

Answer:

Usually an eletric shock. You can be left with numbness and MAYBE problems with your eyes.

Explanation:

Question 1 of 10 The energy diagram shows the changes in energy during a chemical reaction. Which statement best describes the total energy change of the system? Potential energy Reaction progress O A. Energy is absorbed, and the products have higher potential energy. O B. Energy is absorbed, and the reactants have higher potential energy C. Energy is released, and the reactants have higher potential energy. O D. Energy is released, and the products have higher potential energy.​

Answers

Answer: The Answer is C

Explanation:

I just got this question and took a guess I got it correct lol. Higher potential energy and energy is released.

The statement which best describes the total energy change of the system is energy is absorbed, and the reactants have higher potential energy.

What is potential energy?

Potential energy is the energy which a body posses because of its position. The potential energy is the stored energy.

The energy diagram shows the changes in energy during a chemical reaction.

Potential energy and Reaction progress are shown in the problem. The reactants are the substance which reacts and form one or more than one product.

The reactants in a chemical reaction increases the potential energy for the reaction.



Thus, the statement which best describes the total energy change of the system is energy is absorbed, and the reactants have higher potential energy.

Learn more about the potential energy here;

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How do scientists know the continents were once closer than they are today? Explain your answer in 2-3 complete sentences.

Answers

Answer:

Continental drift describes one of the earliest ways geologists thought continents moved over time. Today, the theory of continental drift has been replaced by the science of plate tectonics. 

 

The theory of continental drift is most associated with the scientist Alfred Wegener. In the early 20th century, Wegener published a paper explaining his theory that the continental landmasses were “drifting” across the Earth, sometimes plowing through oceans and into each other. He called this movement continental drift. 

Consider the reaction below Na2CO3 (aq) + CaCl2 (aq) CaCO3 (s) + 2NaCl (aq) If the releases 39.4 kJ of energy, how many kilocalories does it release? (1 cal = 4.184 J) (Round off answer to 2 decimal place)​

Answers

Answer: 9.42

Explanation: yes

Particle track detectors are used to measure the speed of particles if the lifetime of the particle is known. Particle-X has a lifetime of 256.2 ps. These particles are created in an experiment inside the detector by a given reaction. The particles leave 10.7 cm long tracks on average before they decay into other particles not observable by the detector. What is the average speed of the particles in terms of the speed of light

Answers

Answer:

the average speed of the particles in terms of the speed of light is 0.81c

Explanation:

Given the data in the question;

[tex]t_p[/tex] = 256.2 ps = 256.2 × 10⁻¹² s

speed of light c = 2.99 × 10⁸ m/s

d = 10.7 cm = 0.107 m

we know that; Average speed v = d/t ------- let this be equation 1

Also, given that 256.2 ps is the lifetime of particle X frame, proper time will be;

t = Y[tex]t_p[/tex] = [tex]t_p[/tex] / √( 1 - [tex]\frac{v^2}{c^2}[/tex] ) --------- let this be equation 2

Next, we input equation 2 into equation 1'

v = d / [ [tex]t_p[/tex] / √( 1 - [tex]\frac{v^2}{c^2}[/tex] )  ]

v = d/[tex]t_p[/tex][ √( 1 - [tex]\frac{v^2}{c^2}[/tex] ) ]

v[tex]t_p[/tex]/d = √( 1 - [tex]\frac{v^2}{c^2}[/tex] )

we square both sides

( v[tex]t_p[/tex]/d )² = (√( 1 - [tex]\frac{v^2}{c^2}[/tex] ) )²

v²[tex]t_p[/tex]²/d² = 1 - [tex]\frac{v^2}{c^2}[/tex]

v²[tex]t_p[/tex]²/d² +  [tex]\frac{v^2}{c^2}[/tex] = 1

v²( [tex]t_p[/tex]²/d² +  [tex]\frac{1}{c^2}[/tex] ) = 1

v²( ([tex]t_p[/tex]²c² + d²)/d²c² ) = 1

v² = (d²c²) / ([tex]t_p[/tex]²c² + d²)

v = √[ (d²c²) / ([tex]t_p[/tex]²c² + d²) ]

v = (dc) / √([tex]t_p[/tex]²c² + d²)

so we substitute

v = (0.107 m × c) / √( (256.2 × 10⁻¹² s)²(2.99 × 10⁸ m/s)² + (0.107 m )²)

v = 0.107c / √( 0.00586814 + 0.011449 )

v = 0.107c / √( 0.01731714 )

v = 0.107c / 0.1315946

v = 0.81c

Therefore, the average speed of the particles in terms of the speed of light is 0.81c

gravitational potential is the energy due to an object's:
a. motion
b. spring stretch or compression
c. position in a gravity field
d. chemical bonds.​

Answers

position in a gravitation field (c)

Answer:

The answer is C. position in a gravity field

2. An advertisement claims that a new type of cotton cloth looks red because of the way the cloth is
woven and not because of the dye used on the cloth.
Which statement BEST explains why the chemical dye is responsible for the red appearance of the
cloth?
ооо
O A. The chemical absorbs the light from the visible spectrum except for red that is reflected to the
eye.
B. The chemical absorbs all the red light from the visible spectrum that is reflected to the eye.
C. The light is refracted and the longest wavelength shows through the one that is red.
OD. The chemical reaction produces a red light that is emitted, so the cloth looks red.

Answers

C is the answer.
Because that’s the way the cloth is because of the way it is woven and not because of the dye used on the cloth

what does chucking do for your memory

Answers

Answer:

By separating disparate individual elements into larger blocks, information becomes easier to retain and recall. This is due mainly to how limited our short-term memory can be. ... Chunking allows people to take smaller bits of information and combine them into more meaningful, and therefore more memorable, wholes.

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:

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:

SIENCE! help please its due yesterday and i didn’t do it :(

Answers

I believe it could be H

Answer:  H

the lights travel through the mirr to create a bigger wider light.

hope this helps (:

How are the particles in matter organized

Answers

Answer:

Particles in agas are well separated with no regular arrangement. liquid are close together with no regular arrangement. solid are tightly packed, usually in a regular pattern.

Explanation:

hope this helps

The image below represents water's... *

Answers

Answer:

it represents the physical changes.

Explanation:

I

5. If employers-want-union workers to return to work, they can ask the
court for an __

Answers

Answer:

they can asked to sue

Explanation:

bud

Which has the least gravitational force?

Answers

Answer: Mount Nevado Huascarán

Explanation: Mount Nevado Huascarán in Peru has the lowest gravitational acceleration, at 9.7639 m/s2, while the highest is at the surface of the Arctic Ocean, at 9.8337 m/s2

Calculate the work done to push a 200-N object 5-meters

Answers

1000 joules
jskskmxk dnd

WHY ARE ALL GIRLS THE SAME, don't even say their not cause if you say that then I guess you don't have a life!!!!!​

Answers

because they are. it’s just how life works

Two ice skaters, with masses of 40.0 kg and 65.0 kg , are at the center of a 50.0 m -diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. Part A If the heavier skater reaches the edge in 10.0 s , how long does the lighter skater take to reach the edge

Answers

Answer:

6.15 s

Explanation:

From the question,

Applying the law of conservation of momentum

Momentum of the Heavier skater = Momentum of the lighter skater.

Mv = mV................. Equation 1

Where M = mass of the heavier skater, m = mass of the lighter skater, v = Velocity of heavier skater, V = velocity of the lighter skater.

But,

v = r/t........................ Equation 2

V = r/t'................ Equation 3

Where r = radius of the circular rink, t = time taken for the heavier skater to reach the edge, t' = time taken for the lighter skater to reach the edge.

Substitute equation 2 and equation 3 into equation 1

M(r/t) = m(r/t')............. Equation 4

Given: M = 65 kg, m = 40 kg, r = 50/2 = 25 m, t = 10 s.

Substitute into equation 4 and solve for t'

65(25/10) = 40(25/t')

162.5 = 1000/t'

t' = 1000/162.5

t' = 6.15 seconds

A car has a mass of 1200 kg and a velocity of 14 m/s. Calculate the
momentum of the car.

Answers

Answer:

p = 16,800

Explanation:

A coaxial cable consists of an inner cylindrical conductor of radius 3 cm on the axis ofan outer hollow cylindrical conductor of inner radius 7 cm and outer radius of 10 cm.The inner conductor carries current 4.5 A in one direction, and the outer conductor carries current 8 A in the opposite direction. What is the value of the magnetic field atfollowing distances from the axis of the cable:

Answers

Answer:

Hello your question lacks some information and that is the distance

At r = 0.150 m (outside the cable)  note :  (μ 0 = 4π × 10-7 T · m/A)

answer: 4.7 * 10^-6 T

Explanation:

R1 = 0.03 m

R2 = 0.07 m

R3 = 0.1 m

Inner conductor carries current = 4.5A in one direction

outer conductor carries current = 8A in opposite direction

Determine the value of magnetic field at r = 0.150 m

net current = 8 - 4.5 = 3.5 A

∴ β ( value of  magnetic field )

= ( 4π * 10^-7 * 3.5 ) / ( 2π * 0.150 )

= 4.4*10^-6 / 0.94

= 4.7 * 10^-6 T


Give the relationship between the number of valence electrons in an atom's
valence electron shell and the position of the element on the Periodic Table​

Answers

Answer:

they're reactions

Explanation:

The relationship between the valence electrons and position is: the number of valence electrons determines the position

What is valence electron?

This is the number of electrons in the outermost shell of an atom.

NOTE: The outermost shell is called valence shell

Position in Periodic table

This is where an element is located in the periodic table

Relationship between valence electrons and position

The position of an element in the periodic table is determined by the number of valence electrons.

For example

Sodium, Na (atomic number of 11) has the following electronic configuration

1st shell = 2 electrons2nd shell = 8 electrons 3rd (valence) shell = 1 electron

Since the valence electron is 1, thus, sodium is located in group 1 of the periodic table.

Thus, we can see that the position of an element in the periodic table is related to the valence electron(s) in the atomic shell of the element.

Learn more about valence electron:

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why does ice melt faster in water than in oil when both liquids are at the same temperature​

Answers

Water has a high specific heat capacity. Oil has a smaller heat capacity.

Answer:

Because water has a high specific heat, each little bit of water flowing past can give lots of thermal energy to the ice cube. Oil has a smaller specific heat, and so more oil has to flow past to give the same amount of heat energy to the ice cube. ... Colder oil will melt ice less rapidly than warmer oil or water

explain why when water is poured on a dry class slab it spreads uniformly but it forms spherical droplets on a waxed glass slab​

Answers

Answer and Explanation:

The texture of the slabs affects the type of bonding the water molecules has with each other.

The dry glass slab allows the water to form cohesive bonds with each other, making the water stick to itself and not the slab, which makes it flow uniformly, or regularly.

The Waxed glass slab has a different texture that forms an adhesive-type bonding with water, making the water stick to the slab at certain parts/forming the spherical droplets.

#teamtrees #PAW (Plant And Water)

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