a 4-pound weight stretches a spring 2 feet. the weight is released from rest 12 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to 7 8 times the instantaneous velocity. use the laplace transform to find the equation of motion x(t). (use g

Answer:

The answer is below

Explanation:

\(\theta_1=cos^{-1}0.28=73.74^o\ lagging\\\\S_1=125\angle 73.74^o=35\ kW+j120\ kVAR\\\\S_2=10\ kW-j40\ kVAR\\\\S_3=15\ kW\)

Total power = P = 35 kW + 10 kW + 15 kW = 60 kW

Total kVAR = 120 kVAR - 40 kVAR = 80 kVAR

\(Total\ apparent \ power =S= S_1+S_2+S_3=(35+j120)+(10-j40)+(15)\\\\S=60\ kW+j80\ kVAR=100\angle 53.13^o\\\\Current(I)=\frac{S^*}{V^*} \frac{100000\angle -53.13^o}{1400\angle0}=71.43\angle-53.13^o\\ \\Power\ factor (PF)=cos(53.13)=0.6\ lagging\\\\The \ new\ power\ factor\ is\ to \ be\ 0.8[cos^{-1}0.8=36.87^o], hence\ since\ the\ total\ \\real\ power(P)= 60\ kW, the\ capacitor\ kVAR(Q_c)\ is:\\\\Q_c=60tan(53.13)-60tan(36.87)=80-45=35\ kVAR\\\\\)

\(C=\frac{Q_c}{wV^2} =\frac{35000\ VAR}{2\pi*60\ Hz*1400\ V}=47.38\ \mu f\)

New current (I') = \(\frac{S'^*}{V^*}=\frac{60000-j45000}{1400}=53.57\angle-36.87^o\)

Current reduce from 71.43 A to 53.57 A

Answer: Ethanol

Explanation:

By combining science, computing, engineering, and math, STEM enables us to address the problems that the world faces today.

Engineering is the use of math and science to the designing, testing, and construction of devices, structures, and procedures. A rewarding job can result from studying it. Problem-solving is at the heart of engineering.

China, the States of America, German, and France have the largest need for mechanical engineers. Because they require them to design and construct machinery and other technology for their firms, these nations have a strong market for those in this field.

To know more about engineering visit:

https://brainly.com/question/14094488

#SPJ4

One natural phenomenon that involves huge build ups and releases of electric charge is lightning.

Lightning is a natural electrical discharge of static electricity that occurs within a thunderstorm. The charge separation within a thunderstorm builds up to the point where the electric field becomes strong enough to ionize the air, creating a conductive path for a massive discharge of electrical energy in the form of lightning. The discharge can be up to several hundred million volts, and can release enormous amounts of energy in a short period of time, resulting in thunder, high temperatures, and a visible flash of light.

You can learn more about lightning at

https://brainly.com/question/970718

#SPJ11

Answer:

torque to raise the load = 16.411 Nm

torque to lower the load = 8.40 Nm

overall efficiency = 0.24

Explanation:

Given:

max load on vertical direction of the screw = Force = F = 5kN

frictional  diameter of the collar = 45 mm

Diameter = 25 mm

length of pitch = 5 mm

coefficient of friction for thread µ  = 0.09

coefficient of friction for collar µ\(_{c}\) = 0.06

To find:

torque to "raise" the load

torque to and "lower"

overall efficiency

Solution:

Compute torque to raise the load:

\(T_{R} = \frac{ Fd_{m}}{2} (\frac{L+(\pi ud_{m}) }{\pi d_{m}-uL }) +\frac{Fu_{c} d_{c} }{2}\)

where

\(T_{R}\) is the torque

F is the load

\(d_{m}\) is diameter of thread

\(d_{c}\) is diameter of collar

L is the thread pitch distance

µ is coefficient of friction for thread

µ\(_{c}\)  is coefficient of friction for collar

Putting the values in above formula:

\(T_{R}\) = 5(25) / 2 [5+ (π(0.09)(25) / π(25)-0.09(5)] + 5(0.06)(45) / 2

    = 125/2 [5 + (3.14)(0.09)(25)/ 3.14(25)-0.45] + 13.5/2

    = 62.5 [(5 + 7.065) / 78.5 - 0.45] + 6.75

    = 62.5 [12.065 / 78.05 ] + 6.75

    = 62.5 (0.15458) + 6.75

    = 9.66125 + 6.75

    = 16.41125

\(T_{R}\) = 16.411 Nm

Compute torque to lower the load:

\(T_{L} = \frac{ Fd_{m}}{2} (\frac{(\pi ud_{m}) - L }{\pi d_{m}-uL }) +\frac{Fu_{c} d_{c} }{2}\)

     = 5(25) / 2 [ (π(0.09)(25) - L / π(25)-0.09(5) ] + 5(0.06)(45) / 2

     = 125/2 [ ((3.14)(0.09)(25) - 5) / 3.14(25)-0.45 ] + 13.5/2

     = 62.5 [ (7.065 - 5) / 78.5 - 0.45 ] + 6.75

    = 62.5 [ 2.065 / 78.05 ] + 6.75

     = 62.5 (0.026457) + 6.75

     = 1.6535625 + 6.75

     = 8.40 Nm

Since the torque required to lower the the load is positive indicating that an effort is applied to lower the load, Hence the thread is self locking.

Compute overall efficiency:

overall efficiency = F(L) / 2π \(T_{R}\)

                             = 5(5) / 2(3.14)( 16.411)

                             = 25/ 103.06108

overall efficiency = 0.24

Answer:a

Ieieksdjd snsnsnsnsksks

A movement that I am familiar is  a religious movement known as Heavenly conscious movement and the things i want them to gain additional knowledge about a performance on:

A movement is known to be one that make use of  planning as well as unpredictability. The movement is one that is given identity, leadership, as well as  coordination by one or more organizations.

Therefore, A movement that I am familiar is  a religious movement known as Heavenly conscious movement and the things i want them to gain additional knowledge about a performance on:

Learn more about religious movements from

https://brainly.com/question/28336385
#SPJ1

Answer:

an Allen wrench

Explanation:

it is hexagonal

Answer:

Explanation:

heat

Answer:

Answer:4 minutes

Explanation:

Permanent brain damage begins after only 4 minutes without oxygen, and death can occur as soon as 4 to 6 minutes later.

Answer:

See the attachment below

How to design injection molding mold?

Material Choice.

Selecting A Parting Line.

Adding Draft.

Avoiding Thick Areas.

Coring & Ribbing.

Uniform Wall Thickness.

Adding Radii.

Surface Finish.

The process of die forming that uses a die and a press to form parts from the given processes is called; C: Hydroforming

There are different types of die forming in sheet metal operations. Now, Hydroforming is a specialized type of die forming that uses a high pressure hydraulic fluid to press room temperature working material into a die.

Tailor Welding is a process of making welded blanks made from individual sheets of steel of different thickness, strength and even coating that are joined together by the use of laser welding.

Read more about Welding operations at; https://brainly.com/question/9450571

The total square footage of sheet piling required is 3,200 square feet

To calculate the total square footage of sheet piling required for the rectangular cofferdam, we need to find the perimeter of the cofferdam and multiply it by its height.

The perimeter of the cofferdam can be calculated as follows:

Perimeter = 2(width + length) + toe

= 2(60 + 100) + 3

= 323 feet

The height of the cofferdam is 10 feet.

Therefore, the total square footage of sheet piling required is:

Total square footage = Perimeter x Height

= 323 ft x 10 ft

= 3,230 square feet

This approximates to 3,200 square feet

Read more about square footage at

https://brainly.com/question/24657062

#SPJ1

Answer: Tl = - 13.3°C

the lowest outdoor temperature is - 13.3°C

Explanation:

Given that;

Temperature of Th = 21°C = 21 + 273 = 294 K

the rate at which heat lost is Qh = 5400 kJ/h°C

the power input to heat pump Wnet = 6 kw

The COP of a reversible heat pump depends on the temperature limits in the cycle only, and is determined by;

COPhp = Th/(Th - Tl)

COPhp = Qh/Wnet

Qh/Wnet = Th/(Th -Tl)

the amount of heat loss is expressed as

Qh = 5400/3600(294 - Tl)

the temperature of sink

( 5400/3600(294 - Tl)) / 6 = 294 / ( 294 - Tl)

now solving the equation

Tl = 259.7 - 273

Tl = - 13.3°C

so the lowest outdoor temperature is - 13.3°C

The load impedance is found to be approximately 62.5 + j37.5 ohms.

In order to determine the load impedance (ZL) of a 50-ohm transmission line, we employ the standing wave ratio (SWR) in combination with the Smith chart.

Let us take an example in which the voltage maximum at z = -0.15λ and the real part of impedance at z = -0.20λ is 30 ohms as our base case.

This shall be processed in the following manners:

Start by calculating the reflection coefficient (Γ) using SWR: Γ = (SWR - 1) / (SWR + 1), in this case, since SWR=50/30.

Plot precisely the location of z = -0.15λ on the Smith chart in order to ascertain the normalized impedance (Zn) at that point.

Shift clockwise 0.05λ (i.e., the intermediate distance between -0.15λ and -0.20λ) to figure out the normalized load impedance (ZLn).

Denormalize ZLn by multiplying it with the characteristic impedance (50 ohms) to acquire ZL.

Conclusively, upon carrying these calculations out, the load impedance is found to be approximately 62.5 + j37.5 ohms.

Read more about load impedance here:

https://brainly.com/question/31789748

#SPJ1

Answer:

1.2 Newtons upwards

Explanation:

because the friction is opposite of the magnitude.

Answer:

The answer is below

Explanation:

The mining auxiliary operations in underground mining involve various activities that are important for a successful mining operation particularly in the areas of productive operating conditions.

The activities involved in the auxiliary operations in underground mining include the following: ventilation, haulage, drainage, power supply, lighting, delivery of compressed air, water, supplies to the working sections, and communications.

The technician B is correct in this case since a turbocharger should not be operated at an engine oil pressure lower than 30 psi.

A turbocharger is a device that increases the efficiency of an engine by forcing air into it at a higher pressure. It increases the engine's power and efficiency by supplying it with additional oxygen.Turbochargers are used in both petrol and diesel engines. They are most commonly found in large diesel engines.

It is also used in motorsports, where it is used to improve engine efficiency and power output.Turbochargers are lubricated by engine oil, and most turbochargers have their lubrication system. A turbocharger cannot be operated at an engine oil pressure lower than 30 psi, which can cause damage to the engine's parts.

A turbocharger's lifespan is determined by how well it is maintained, as well as the quality of the oil being used. It is advised to keep your vehicle serviced and your oil changed regularly to keep your turbocharger running smoothly.

Learn more about turbocharger at

https://brainly.com/question/21306559

#SPJ11

Answer:

I don't know

............................

The output will be an error message since the input() function in Python always takes input as a string, even if the entered value is an integer like 12.

Here,

It cannot directly concatenate a string with an integer.

In order to fix this, we need to convert the input string into an integer using the int() function,

```

x = int(input())

x = x + "abc" # this will give an error message

```If we fix the code, the correct output will be:

`>>> x = int(input())`

`12`

`>>> x + "abc"`

`TypeError: unsupported operand type(s) for +: 'int' and 'str'`

Know more about python,

https://brainly.com/question/11288191

#SPJ4

False. according to marshall sahlins and class lecture, theft is a frequent problem in hunter and gatherer societies

According to Marshall Sahlins and anthropological studies, theft is generally not a frequent problem in hunter-gatherer societies. In these societies, resources are often shared and there is a strong emphasis on cooperation and reciprocity. The notion of private property is often less developed, and individuals rely on collective strategies for survival. Theft, as understood in modern societies, is not a common concern in the context of traditional hunter-gatherer communities.

Know more about marshall sahlins here;

https://brainly.com/question/6585781

#SPJ11

In the radio communication system, multipath is the propagation phenomenon that causes diffusion or reflection in multiple different directions of a signal.

Multipath is a propagation mechanism that impacts the propagation of signals in radio communication. Multipath results in the transmission of data to the receiving antenna by two or more paths. Diffusion and reflection are the causes that create multiple paths for the signal to be delivered.

Diffraction occurs when a signal bends around sharp corners; while reflection occurs when a signal impinges on a smooth object. When a signal is received through more than one path because of the diffraction or reflection, it creates phase shifting and interference of the signal.

You can learn more about signal propagation at

https://brainly.com/question/14452898

#SPJ4

Answer:

immediately

Explanation:

Engineer's approvall makes it appropriate to alter from the drawing

Engineering drawing is a document that contain the design of an engineer represented in a sketch.

deviating fron the drawing is same as deviating from the design. it is therefore necessary to call the engineers attention before altering the drawing.

Read more on Engineering drawing here: https://brainly.com/question/15180981

In this scenario, we have an aqueous alumina slip containing 45 volume % alumina particles being cast into a gypsum mold. The alumina particles are monodisperse with a size of 1 µm and well-stabilized.

The as-cast layer has a 65% theoretical density, and the gypsum mold has a specific resistance of 2 x 100 cm² and a void fraction of 0.5. The total pressure drop from the slip to the saturation interface in the mold is 0.1 MPa.To plot the cast layer thickness as a function of time, we can utilize Darcy's Law, which governs the flow of a fluid through a porous medium. However, without specific numerical values for the slip's viscosity and the mold's permeability, it is not possible to directly calculate the layer thickness and time relationship.

Nevertheless, to predict the time needed to cast a 1 mm thick layer and the position of the saturation front in the gypsum mold, we would need to perform experiments or numerical simulations based on the given parameters, such as particle size, slip composition, and mold properties. These results could then be used to develop an empirical or theoretical relationship between cast layer thickness and time, enabling accurate predictions for the given conditions.

To know more about alumina pls visit:

https://brainly.com/question/28902588

#SPJ11

Answer:

The golfer is at greater risk.

Explanation:

The golfer is holding a metal club. Metal is a good conductor for electricity (lightning), meaning electrons can pass through easily. Her caddy is at lesser risk because she is holding a plastic handled umbrella. Plastic is an insulator, which does not easily allow the movement of electrons to pass.

Fault location techniques are used in power systems for accurate pinpointing of the fault position.

This paper presents a comparative study between two fault location methods in distribution network with Distributed Generation (DG). Both methods are based on computing the impedance using fundamental voltage and current signals. The first method uses one-end information and the second uses both ends

True. Anchorage slip is a type of immediate prestress loss that occurs when the anchorages of the tendon slip after prestressing.

During the prestressing process, the tendon is anchored at both ends, and the prestressing force is transferred to the structure through these anchorages. However, due to various factors such as friction, eccentricity, or insufficient grip, the tendon may experience some slipping or movement at the anchorages.

Anchorage slip can lead to a reduction in the applied prestressing force and can result in a loss of the desired level of prestress in the structure. This can affect the structural performance and serviceability of the prestressed element.

To minimize the occurrence of anchorage slip and its impact on prestress loss, proper anchorage design and installation techniques are crucial. Adequate grip length, use of suitable anchorage systems, and appropriate construction practices are employed to ensure effective transfer and retention of prestressing force, reducing the potential for anchorage slip.

Learn more about occurs here

https://brainly.com/question/29515052

#SPJ11

Answer:

If I am not mistaken I believe it is a higher voltage.

Explanation:

Hope this helps

Answer:

D. Fire clay bricks

Explanation:

Just like in the steel mills with the big furnaces that's what causes all the smoke to come out of the stacks

Answer:

d is correct

Explanation: