A Pelton wheel is supplied with water from a lake at an elevation H above the turbine. The penstock that supplies the water to the wheel is of length , diameter D, and friction factor f. Minor losses are negligible. Show that the power developed by the turbine is maximum when the velocity head at the nozzle exit is 2H/3. Note: The result of Problem 12.61 may be of use.

Answers

Answer 1

Answer:

Following are the proving to this question:

Explanation:

[tex]\frac{D_1}{D} = \frac{1}{(2f(\frac{l}{D}))^{\frac{1}{4}}}[/tex]

using the energy equation for entry and exit value :

[tex]\to \frac{p_o}{y} +\frac{V^{2}_{o}}{2g}+Z_0 = \frac{p_1}{y} +\frac{V^{2}_{1}}{2g}+Z_1+ f \frac{l}{D}\frac{V^{2}}{2g}[/tex]

where

[tex]\to p_0=p_1=0\\\\\to Z_0=Z_1=H\\\\\to v_0=0\\\\AV =A_1V_1 \\\\\to V=(\frac{D_1}{D})^2 V_1\\\\\to V^2=(\frac{D_1}{D})^4 V^{2}_{1}[/tex]

         [tex]= (\frac{1}{(2f (\frac{l}{D} ))^{\frac{1}{4}}})^4\ V^{2}_{1}\\\\[/tex]

         [tex]= \frac{1}{(2f (\frac{l}{D}) )} \ V^{2}_{1}\\[/tex]

[tex]\to \frac{p_o}{y} +\frac{V^{2}_{o}}{2g}+Z_0 =\frac{p_1}{y} +\frac{V^{2}_{1}}{2g}+Z_1+ f \frac{l}{D}\frac{V^{2}}{2g} \\\\[/tex]

[tex]\to 0+0+Z_0 = 0 +\frac{V^{2}_{1} }{2g} +Z_1+ f \frac{l}{D} \frac{\frac{1}{(2f(\frac{l}{D}))}\ V^{2}_{1}}{2g} \\\\\to Z_0 -Z_1 = +\frac{V^{2}_{1}}{2g} \ (1+f\frac{l}{D}\frac{1}{(2f(\frac{l}{D}) )} ) \\\\\to H= \frac{V^{2}_{1}}{2g} (\frac{3}{2}) \\\\\to \frac{V^{2}_{1}}{2g} = H(\frac{3}{2})[/tex]

L.H.S = R.H.S


Related Questions

Sarah is on a see saw with her friend. The pivot or fixed point where the bar is free to move is called the _____________?

Question 14 options:

A. Joules


B. Newton


C. Fulcrum


D. Spring Scale

Answers

Answer: Fulcrum

Definition:
the point on which a lever rests or is supported and on which it pivots.

Sarah is on a see saw with her friend. The pivot or fixed point where the bar is free to move is called the  Fulcrum. Hence, option C is correct.

What is Fulcrum?

The support or base that a lever rotates on in order to lift or move anything. The verb fulcire, which means "to prop," is the root of the Latin term fulcrum, which means "bedpost."

The term "fulcrum" was first used in the 17th century to describe the pivotal point of a lever or other similar mechanism, such as the oar of a boat.

The Fulcrum line of road bike wheels offers lightweight and durable wheelsets for every circumstance, course, discipline, and price range. From the top-tier full carbon aero wheels to the high performance aluminum line, Fulcrum offers the perfect wheel to match your performance.

Thus, option C is correct.

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The current flow in an NMOS transistor is due to one of the following:
(a) Electrons
(b) Holes
(c) Both

Answers

Answer:

(a) Electrons

Explanation:

When there is a current flow in a transistor of NMOS so it is because of electrons as in NMOS the current is flowing from drain to source. Since the flow of electrons is from source to drain. Also the current would be inverse direction for electrons flow

Therefore the option A is correct

hence, the other options are incorrect

An injection-molding machine has a first cost of $1,050,000 and a salvage value of $240,000 in any year. The maintenance and operating cost is $235,000 with an annual gradient of $75,000. The MARR is 10%. What is the most economic life?
a. years (EUAC - $759.376)
b. 7 years (EUAC - $672,616)
c. 3 years (EUAC - $904,384)
d. 5 years (EUAC - $608,428)

Answers

Explanation:

First cost =$ 1,050,000

Salvage Value =$ 225,000 Maintenance & Operating cost =$ 235,000 Maintenance & Operating Gradient =$ 75,000 MARR =10 %

EUAB - EAUC $=\$ 1,050,000(\mathrm{~A} / \mathrm{P}, 10 \%, \mathrm{n})+\$ 225,000(\mathrm{~A} / \mathrm{F}, 10 \%, \mathrm{n})$

$$

-\$ 235,000-\$ 75,000(\mathrm{~A} / \mathrm{G}, 10 \%, \mathrm{n})

$$

Try $\mathrm{n}=4$ years:

$$

\text { EUAB - EAUC }=\$ 331,275+\$ 48,488-\$ 235,000-\$ 103,575=-\$ 621,362

$$

Try $\mathrm{n}=5$ years:

EUAB - EUAC=-\$ 276,990+\$ 36,855-\$ 235,000-\$ 135,750=-$ 610,885

Try n=6 years

{ EUAB - EUAC }=-$ 241,080+$ 29,160-$ 235,000-$ 166,800=-$ 613,720

Thus, year 5 has the minimum EUAB - EUAC, hence the most economic life is 5 years.

Which of the following machine parts always require
guards?
Select the 3 answer options that apply.
Fan blades
Levers
Rotating barrels
Abrasive wheel machinery

Answers

Answer:fan blades, rotating , abrasive wheel machinery

Explanation:

Which of the following is NOT a factor in the amperage setting on a welding machine?

Answers

What is the following?

Having a complete list of sprinkler systems in a shop is not something usually covered in a company's fire safety plan.

Answers

Having a complete list of sprinkler systems in a shop is not something usually covered in a company's fire safety plan is a false statement.

What is sprinkler system explain?

The term Sprinkler irrigation is known to be a term that connote any kind of a method that is used in the application of an irrigation water which is seen to be the same with natural rainfall.

Note that Water is often shared through a system of pipes that is known to be taking up by pumping. It is then sprayed into the air via the use of sprinklers.

Therefore, based on the above, Having a complete list of sprinkler systems in a shop is not something usually covered in a company's fire safety plan is a false statement.

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Having a complete list of sprinkler systems in a shop is not something usually covered in a company's fire safety plan. True/false

Why is sand used as a bed for melting of metal in Cupola furnace?

Answers

Answer:

A sand bed is necessary because it provides a refractory bottom for molten metal

:]

differences between steady and unsteady flow

Answers

steady: A steady flow is one in which the conditions (velocity, pressure and cross- section) may differ from point to point but DO NOT change with time. unsteady: If at any point in the fluid, the conditions change with time, the flow is described as unsteady.

When testing for available voltage to the load, you should
always:
A) set the volt meter to AC volts.
B) place the negative meter lead on ground and the positive meter lead at various points
in the circuit where voltage is expected.
OC) disconnect the connector and use the proper adapter to prevent the connector pins
from being damaged.
D) start the engine to verify each component has charging system voltage available.

Answers

When testing for available voltage to the load, you should always place the negative meter lead on the ground and the positive meter leads at various points in the circuit where voltage is expected. The correct option is B.

What is voltage?

Voltage is a power source that is given to the tube. It pushes the charged electrons to the conducting loop. It is an electrical potential difference.

Set the positive meter leads in various locations throughout the circuit where voltage is anticipated, and the negative meter leads on the ground.

Thus, the correct option is B.

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Every month, Frank pays an $80 membership fee at a fitness
center so he can avail himself of the unlimited use
of its facilities. On average, he goes to the center 10 times
a month. What is the average cost of each trip he makes
to the center? What is the marginal cost of an additional
work-out session?

Answers

The average cost of each trip is $8 per trip while the marginal cost is $0

What is the Average and Marginal Cost?

We are given;

Monthly payment by Frank for Membership fees = $80

Number of times frank goes to the center monthly = 10 times

Thus, average cost is;

Average cost = Monthly payment/Number of visits in a month

Average Cost = $80/10

Average Cost = $8 per trip

The marginal cost is the change in total production cost that comes from making or producing one additional unit. However, in this question, his monthly pay covers an unlimited use of its facilities. Thus, there can be no marginal cost for an additional work-out session. Thus;

Marginal Cost = $0

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The engineer must place a catch basin at the north west corner of the yard of a subdivision lot. The catchment area will be calculated with a portion of the pervious yard area and the area of the whole impervious roof area.
A. True
B. False

Answers

Answer:

A = true.

Explanation:

The statement made in the Question or problem above is TRUE/correct. The term known as " catch basin" is an important and essential part of the drainage system that is should be built in a community(whether housing community, industrial community or commercial community).

The catch basin is very important because it helps in making sure that they act as sieve to get all the dirt such as leaves from water running on the surface(runoffs).

Match List
Match the engineering specialty with its job responsibility. Drag and drop the specialties to the responsibilities.
Construction
Geotechnical
Structural
Transportation
:: Ansure on-site work meets federal and state regulations
W
:: Areate efficient highway designs

Answers

Answer:

d

Explanation:

Which design activity is part of the design for manufacturability (DFM) methodology?
Aavold parts that are mirror Images
B. establish guidelines on the go
с. some asymmetrical parts are acceptable
D.
maximize utilization of setup time

Answers

Answer:

D would be correct because it maximizes it.

An engine cranks slowly. Technician A says a possible cause of the problem is low resistance in the starter circuit connections. Technician B says a possible cause is an open in the starter field coil circuit. Who is correct?

Answers

Answer:

The answer is "Neither".

Explanation:

Engine cranking implies that certain energy is applied to both the starter motor to motivate the engine only with one function: crank the wind-shaft of the engine and create an appropriate compressor in at most one piston for a good activation.

In this question, both Technician was wrong because the pressure motor oil is being used, a motor can crank very slowly or can't start throughout the cold weather.

An asphalt concrete mixture includes 94% aggregate by weight. The specific gravities of aggregate and asphalt are 2.65 and 1.0, respectively. If the bulk density of the mix is 147 pcf, what is the percent voids in the total mix

Answers

Answer:

2.0%

Explanation:

Percentage of aggregate = 94%

Specific gravity = 2.65

Specific gravity of asphalt = 1.9

Density of mix = 147pcf = 147lb/ft³

Total weight of mix: (volume = 1ft³)

= (147lb/ft³)(1ft³)

= 147lb

Percentage weight of asphalt in mix:

100% - 94%

= 6%

Weight of asphalt binders

= 6% x 147lb

= 8.82lb

Weight of aggregate in mix:

= 94% x 147

= 138.18lb

Specific weight of asphalt binder:

(Gab)(Yw)

Yw = specific Weight of water

= 62.4lb

Gab = specific gravity of asphalt binder

= 1.0

(62.4lb)(1.0)

= 62.4 lb/ft³

Volume of asphalt in binder:

8.82/62.4

= 0.14ft³

Specific weight of binder in mix:

2.65 x 62.4lb/ft³

= 165.36 lb/ft³

Volume of aggregate:

= 138.18/165.36

= 0.84ft³

Volume of void in the mix:

1ft³ - 0.84ft³ - 0.14ft³

= 0.02ft³

The percentage of void in total mix:

VTM = (0.02ft³/1ft³)100

= 2.0%

Which of the following is NOT a line used on blueprints?

Answers

Answer: Photo lines

Explanation: made more sense

1 of 10 With whom must a technician clearly communicate to ensure the customer understands the repair and why it was necessary? Service Manager Warranty Administrator Service Advisor Lube Technician​

Answers

Service Manager must a technician clearly communicate to ensure the customer understands the repair and why it was necessary. Thus, option A is correct.

Who is the customer?

The person who purchases a good or receives a service is known as a customer. A consumer is essentially the person who pays for the good or service.

The technician should contact the service manager as he would know all the changes that the customer is required to do necessary changes.

The service manager is the one who is responsible for the maintenance and the of the commodity that is being provided to the customer.n Therefore, option A is the correct option.

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2.) A fluid moves in a steady manner between two sections in a flow
line. At section 1: A2 = 10 ft?, V = 100 fpm, vl = 4 ftp/lb
At section 2: A2 = 2 ft², P2 = 0.20 lb/ft?
Calculate (a.) the mass flow rate, and
(b.) the speed at section 2

Answers

Answer:

[tex]250\ \text{lbm/min}[/tex]

[tex]625\ \text{ft/min}[/tex]

Explanation:

[tex]A_1[/tex] = Area of section 1 = [tex]10\ \text{ft}^2[/tex]

[tex]V_1[/tex] = Velocity of water at section 1 = 100 ft/min

[tex]v_1[/tex] = Specific volume at section 1 = [tex]4\ \text{ft}^3/\text{lbm}[/tex]

[tex]\rho[/tex] = Density of fluid = [tex]0.2\ \text{lb/ft}^3[/tex]

[tex]A_2[/tex] = Area of section 2 = [tex]2\ \text{ft}^2[/tex]

Mass flow rate is given by

[tex]m=\rho A_1V_1=\dfrac{A_1V_1}{v_1}\\\Rightarrow m=\dfrac{10\times 100}{4}\\\Rightarrow m=250\ \text{lbm/min}[/tex]

The mass flow rate through the pipe is [tex]250\ \text{lbm/min}[/tex]

As the mass flowing through the pipe is conserved we know that the mass flow rate at section 2 will be the same as section 1

[tex]m=\rho A_2V_2\\\Rightarrow V_2=\dfrac{m}{\rho A_2}\\\Rightarrow V_2=\dfrac{250}{0.2\times 2}\\\Rightarrow V_2=625\ \text{ft/min}[/tex]

The speed at section 2 is [tex]625\ \text{ft/min}[/tex].

(a) The mass flow rate will be "250 lbm/min".

(b) At section 2, the speed will be "625 ft/min".

Speed and Mass

According to the question,

Section 1 area, A₁ = 10 ft²

Section 2 area, A₂ = 2 ft²

Water's velocity, V₁ = 100 ft/min

Volume at section 1, v₁ = 4 ft³/lbm

(a) We know the formula,

Mass flow rate, m = ρA₁V₁

                              = [tex]\frac{A_1 V_1}{v_1}[/tex]

By substituting the values,

                              = [tex]\frac{10\times 100}{4}[/tex]

                              = [tex]\frac{1000}{4}[/tex]

                              = 250 lbm/min

(2) The speed will be:

→ m = ρA₂V₂

or,

  V₂ = [tex]\frac{m}{\rho A_2}[/tex]

By substituting the values,

       = [tex]\frac{250}{0.2\times 2}[/tex]

       = [tex]\frac{200}{0.4}[/tex]

       = 625 ft/min

Thus the responses above are correct.  

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try to calculate the arc-elasticity percentage change from 80 to 100. input your answer in percent form.

Answers

A percentage increase from 80 to 100 is equal to 25%.

What is a percentage?

A percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

The types of percentage.

In Mathematics, there are two main types of percentage and these include the following:

Percentage decreasePercentage increase

Mathematically, percentage increase can be calculated by using this formula:

Percentage increase = [Final value - Initial value]/Initial value × 100

Substituting the given parameters into the formula, we have;

Percentage increase = [100 - 80]/80 × 100

Percentage increase = [20]/80 × 100

Percentage increase = 1/4 × 100

Percentage increase = 25%.

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Three charges of 2 nC, -5 nC, and 0.2 nC are situated at P(2, 7/2,"/4), S(1, π, "/2), and Q(5, "/3,2/3), respectively. Find the force acting on the 2 nC charge at point P. Is this a force of attraction or repulsion?

Answers

Answer:htthrhtrhtrrtrth

Explanation:

trtrhtr

Immediately remove the machine from service

Answers

Answer:

cellular service/data

Explanation:

Mobile Data and hotspot

What is the correct order of energy conversions? * 1. Nuclear to thermal to mechanical to electrical 2. Thermal to mechanical to electrical to potential 3. Nuclear to thermal to mechanical to potential 4. Electrical to mechanical to thermal to nuclear

Answers

Answer: Nuclear to thermal to mechanical to electrical.

Explanation:

Nuclear energy is also referred to as atomic energy which will then lead to the generation of the thermal energy. It should be noted that the thermal energy is also referred to as the heat energy and this is due to the rise in temperature which results in the faster movement of atoms and their collision with one another.

This in turn, brings about the mechanical energy which is simply the energy caused by the motion and this in turn, also lead to electrical energy.

Therefore, the correct answer is Nuclear to thermal to mechanical to electrical.

A well-type inclined manometer has a gas pressure difference of 17 cm-of-water at its ports (higher pressure to well). If the manometer is inclined at an angle of 12 degrees and contains water, what is the reading on the manometer (i.e. R)?

Answers

Answer:

New reading of water = 81.76 cm² (Approx)

Explanation:

Given:

Pressure difference = 17 cm

θ = 12°

Find:

New reading of water

Computation:

New reading of water = Pressure difference / Sinθ

New reading of water = 17 / sin 12

New reading of water = 81.76 cm² (Approx)

Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers from 75 to 95 nanometers. What is the probability that the wavelengths of the next photosynthetically active radiations is at most 82 nanometer? Report to two digits after the decimal point.

Answers

The probability that the wavelengths of the next photosynthetically active radiations is at most 82 nanometer is 0.35.

What is photosynthetically active radiations?

Photosynthetically active radiation (PAR) is light with wavelengths ranging from 400 to 700 nm that is used by plants for photosynthesis.

The photon flux density of photosynthetic photon flux density (PPFD) is defined as the photon flux density of PAR.

Photosynthesis and plant growth require Photosynthetically Active Radiation. Higher PAR promotes plant growth, and monitoring PAR is critical to ensure plants receive enough light for this process.

Given that,

a = 75

b =95

Using uniform distribution

P(x c) = (c - a) / (b - a)

P(x 82) = (82 - 75) / (95 - 75)=0.35

Probability=0.35

Thus, the probability of the given scenario is 0.35.

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a homeowner consumes 700 kwh of energy in march. determine the average cost per kwh for the month using the following residential rate schedule: base monthly charge of $10.00. first 100 kwh per month at 16 cents/kwh. next 200 kwh per month at 10 cents/kwh. over 300 kwh per month at 6 cents/kwh.

Answers

Answer:

10 cents/kwh

Explanation:

Base monthly charge = $10.00

First 100 kwh at $0.16/kwh = $16.00

Next 200 kwh at $0.10/kwh = $20.00

Remaining 400 kwh at $0.06/kwh = $24.00

Total charge = $10 + $16 + $20 + $24 /(100+200+400)

Average cost = $70/700 or 10 cents/kwh

tech a says that a cat iii meter is required when working on the ev or hev high-voltage system. tech b says that a hev can start the ice on its own if the ""ready"" indicator is on. who is correct?

Answers

Tech A says that a CAT III meter is required when working on the EV or HEV high-voltage system. Tech B says that a HEV can start the ICE on its own if the "Ready" indicator is on. Both are correct.

There's a lot of confusion out there about the requirements for working on high-voltage systems in hybrid and electric vehicles. Tech A says that a CAT III meter is required, while Tech B says that a HEV can start the ICE on its own if the "Ready" indicator is on. So who's right?

Both techs are actually correct. A CAT III meter is required when working on the EV or HEV high-voltage system. However, a HEV can start the ICE on its own if the "Ready" indicator is on.

The bottom line is that you need to be very careful when working on high-voltage systems. Make sure you have the proper equipment and training before attempting any repairs.

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I will give brainltest! Help please
Find two careers and explain why you would enjoy being in this career field.

Find two careers and explain why you would NOT enjoy being in this career field.

Answers

I would enjoy working in a shelter because of the animals and I would also enjoy working as someone who interviews murderers because I find it interesting
I wouldn’t want to work in fast food because of all the grease and I wouldn’t want to work as a cop because of all the dangerous situations you could get into.

Tech A says that both OSHA and the EPA can inspect facilities for violations. Tech B says that a shop safety rule does not have to be reviewed once put in place. Who is correct?

Answers

Answer:

A is right, depending on what you mean the health organization OSHA is aloud to search faculty if they can or may be affecting peoples health. With a proper search it can be made clear if its safe or not and the OSHA is aloud to do it without your consent to it.

Explain why the equivalent resistance of a parallel combination of resistors is always less than the smallest of the parallel resistors.

Answers

Explain why the equivalent resistance of a parallel combination of resistors is always less than the smallest of the parallel resistors. Adding resistors in parallel gives the current a shorter path through which it can flow, hence decreasing the overall resistance.

1. When and why should we use the Pattern option?

Answers

Answer:

Pattern as in texture is easy to see any flaws in your 3D design.

Explanation:

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