the wind velocity on the upstream side of a wind turbine is 5.2 m/s. if the turbine extracts 31% of the available kinetic energy, what is the wind velocity on the downstream side of the turbine in m/s? please include one decimal place in your answer.

Answers

Answer 1

The wind velocity on the downstream side of the turbine in 4.3 m/s.

What do you mean by wind velocity?

Wind velocity is the wind speed measured at 2 metres above ground at pedestrian level. It is an air ventilation metric that has a direct impact on outdoor thermal comfort. It has been demonstrated that urban morphology or building coverage adversely affects air ventilation.

Given, wind veloocity on upstream, V= 5.2m/s

Proportion of kinetic energy extraction= 31%

                                                                =31/100

                                                                =0.31

As we know that,

kinetic energy=1/2mv²

                       =1/2m×(5.2)²

                       =13.52m-------(1)

where, m= mass, v= velocity

Remaining kinetic energy on downstream

=13.52m×(1-0.31)

=9.3288m

Now, velocity at downstream= 1/2mu²

⇒9.3288m=1/2mu²

⇒u²=(9.3288×2×m)/m

⇒u=√19.6576

=4.3194444

Therefore, velocity at downsteam ≅ 4.3m/s

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Related Questions

two steels are being considered for manufacture of as-forged connecting rods. one is aisi 4340 cr-mo-ni steel capable of being heat-treated to a tensile strength of 260 kpsi. the other is a plain carbon steel aisi 1040 with an sut of 113 kpsi. if each rod is to have a size giving an equivalent diameter de of 0.75 in., is there any advantage to using the alloy steel for this fatigue application?

Answers

The most typical material used to create pipes is alloy steel, particularly pipes for energy-related uses. Additionally, it is utilized in the production of corrosion-resistant containers, silverware, pots and pans, and heating elements for appliances like toasters.

Alloy steels can generally show more strength, ductility, and toughness than carbon steels. However, alloy steels often have lower machinability, weldability, and formability, which is a drawback. One metal and one nonmetal are combined to boost the hardness of metal. In comparison to their component constituents, alloys have a higher tensile strength. Metal alloys are combinations of various metals that keep the desired qualities while getting rid of the undesired ones. Many industries use alloys extensively. They are employed in the manufacture of military, industrial, medical, and aerospace equipment.

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technician a says dotted lines between switch wipers indicate that all wipers will move together. technician b says dotted lines around a component indicates the it is part of the component. who is correct?

Answers

It is to be noted that where Technician A says dotted lines between switch wipers indicate that all wipers will move together and Technician B says dotted lines around a component indicate that it is part of the component,  the correct technician is Technician A.

What are Switch Wipers?

A wiper switch is a mechanism that controls the speed and operation of your windshield wipers. It makes it simple to clear your windshield, allowing you to maintain an unobstructed view of the road.

Switch Wiper is also known as a combo switch, a dip beam switch, or a directional/wiper switch. When adjusted up or down, the left-hand stalk indicates and cancels turn signs.

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The artisan makes a batch of pillows on Monday and makes x more pillows on Tuesday to sell at the convention.
The expression 6(12+x) represents the total amount of time, in hours, the artisan spends making pillows on Monday and Tuesday.
Which statement about (12+x) is true?

Responses

The expression (12+x) is a factor that represents the total number of pillows the artisan makes on Monday and Tuesday.

The expression ( 12 + x ) is a factor that represents the total number of pillows the artisan makes on Monday and Tuesday.

The expression (12+x) is a factor that represents the total number of hours the artisan spends making pillows on Monday and Tuesday.

The expression ( 12 + x ) is a factor that represents the total number of hours the artisan spends making pillows on Monday and Tuesday.

The expression (12+x) is a constant that represents the total number of pillows the artisan makes on Monday and Tuesday.

The expression ( 12 + x ) is a constant that represents the total number of pillows the artisan makes on Monday and Tuesday.

The expression (12+x) is a constant that represents the total number of hours the artisan spends making pillows on Monday and Tuesday.

The expression ( 12 + x ) is a constant that represents the total number of hours the artisan spends making pillows on Monday and Tuesday.

Answers

The statement about (12+x) that is true is that A.The expression (12+x) is a factor that represents the total number of pillows the artisan makes on Monday and Tuesday.

What is an expression?

An expression is simply used to show the relationship between the numbers or variables illustrated.

In this case, the artisan makes a batch of pillows on Monday and makes x more pillows on Tuesday to sell at the convention.

Here, (12 + x) is a common factor that illustrates the number relating to the pillows.

Therefore, the correct option is A.

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two technicians are discussing non-indicator-type ball joint inspection. technician a says that the vehicle should be on the ground with the ball joints loaded, then checked for freeplay. technician b says that the ball joints should be unloaded before checking for freeplay. which technician is correct?

Answers

Technician B is correct. Before testing for free play, the ball joints should be unloaded.

How do you know if your ball joints are failing?A vibration in the steering wheel while driving down a level, straight road, or your vehicle drifting to the right or left when going over bumps, are both signs of ball joint wear. Tires Uneven tire wear could indicate that your ball joints are failing. Your front suspension's ball joints pivot between the steering knuckles and control arms to provide a safe, smooth ride and precise control of your vehicle. A worn ball joint will have a negative impact on your steering and suspension. If the ball joint completely fails, the steering and suspension may partially collapse, causing the wheel and tire to move outward from the vehicle.

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n air conditioning system operating on the reversed carnot cycle is required to transfer heat from a house at a rate of 750 kj/min to maintain its temperature at 24 c. if the outdoor air temperature is 35 c, determine the power required to operate this air conditioning system. answer: 0.463 kw. additional: if the heat rejected to the outside air is used to provide hot water, at what volume rate could hot water at 30 c be produced for domestic use? assume the initial temperature of the water is 20 c.

Answers

The power needed to run this air conditioning system is 0.466 KW. an ideal closed thermodynamic cycle that is reversible in which the working substance undergoes four isothermal expansion processes in succession.

Step 1: Information is provided

The house's heat transfer rate is 755 kJ/min (Ql).

Temperature inside the home = Th = 24°C = 24 +273 = 297 Kelvin

Temperature outside is 35 °C, which is equivalent to 35 + 273 Kelvin.

Step 2: Determine the performance coefficient of a reversed carnot air conditioner operating within the given temperature ranges.

COPr,c = ((To/Th) - 1) / 1)

COPr,c = 1 /((308/297) - 1)

COPr,c = 1/ 0.037

COPr,c = 27

Step 3: The power input can be provided as described below:

Ql / COPr,max = Wnet,in

= 755 / 27 Wnet, in

Wnet,in equals 27,963 kJ/min

Win is equal to 27.963 * 1 KW/60 kJ/min, or 0.466 KW.

The power needed to run this air conditioning system is 0.466 KW.

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What can your employer do to protect you from overhead power lines

Answers

Answer: maintain a safe distance from lines when working.

Explanation:

Have the power company de-energize and ground the power lines.

wearing ppe is the only way to prevent being electrocuted.

have the power company install insulated sleeves (also known as “eels”) over power lines.

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single-stage centrifugal fire pumps use a single intake impeller and a simple casing to provide flow capacities up to: select one: a. 500 gpm (2 000 l/min). b. 1,000 gpm (4 000 l/min). c. 2,250 gpm (9 000 l/min). d. 3,500 gpm (14 000 l/min).

Answers

Single-stage centrifugal fire pumps use a single intake impeller and a simple casing to provide flow capacities up to 2,250 gpm (9 000 L/min).

What is fire pump?
When discussing fixed-place fire suppression systems like fire sprinklers, standpipes, or foam systems, a fire pump often refers to a pressure-increasing element of the water supply. Similar to fire hose operations, fire pumps are an essential component built into fire trucks & fire boats. They increase the water supply. Fire pumps are used to boost the pressure of water coming from a static supply or a municipal subterranean water supply piping network (e.g., tank, reservoir, lake). A centrifugal or positive displacement pump that has been certified and listed for use in the fire service by a third-party testing & listing organisation, such as UL or FM Global, is referred to as a fire pump.

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technician a says a voltage drop of 1.2 volts on a window switch means the switch is faulty. technician b says you could use a jumper wire to bypass the switch and determine if the window motor functions properly before just replacing the switch. who is correct?

Answers

Only technician b is correct who states that before replacing the window switch it is better to use a jumper wire to bypass the switch in order to determine if the window motor operates properly.

A jumper wire is simply an electrical wire with connector pins at each side. The jumper wire is used to bypass a switch that is suspected to be faulty so that problem can be diagnosed. Such as in the case of the scenario given in the question statement . A  jumper wire can be used to bypass the suspected switch in the window motor in order to find out if the switch is faulty or not.

Hence, technician b is correct who recommends the use of a jumper wire to bypass the switch before replacing the switch of the window motor so as to determine if the window motor resumes proper functioning.  However, technician a is not correct because for the window switch a voltage drop of up to 3% is acceptable.

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technician a says that the higher the gear selected the more torque is available. technician b says that a transaxle contains gears that increase or decrease torque. who is correct?

Answers

Technician A is correct. Technician B is wrong because a gear's transmission is used to increase or decrease torque.

The relation torque is relying on multiplying the circumferential detail with the resource of the usage of the radius; massive gears experience a greater amount of torque, at the same time as smaller gears experience a great deal much less torque. Similarly, the torque ratio is equal to the ratio of the gears' radii. A gear's transmission torque modifications as it will boom or decreases speed. Commonly, with the resource of the usage of lowering the speed, a small torque on the doorway issue is transferred as a massive torque at the output issue. The calculation of torque is quantified with the resource of the usage of an extensive form of teeth.

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an aluminum rod needs to withstand an applied force of 45,000 pounds. the engineering stress-strain curve for the aluminum alloy is show below. to ensure safety, the maximum allowable stress is limited to 25,000 psi, which is below the yield strength of aluminum. the rod is 150 in long and must deform elastically no more than 0.25 in when the force is applied. what is the minimum diameter (in inches) of the rod with a round cross section?

Answers

The minimum diameter (in inches) of the rod with a round cross section is  1.3541 in.

What do you mean by diameter?

A diameter of a circle is any straight line segment which passes through the centre of the circle and has endpoints on the circle in geometry. It is also known as the circle's longest chord. Both definitions apply to the diameter of a sphere.

Maximum allowable strers = 25,000psi

Length= 150 in

deform= 0.25 in

Strain= Δl/L = 0.25/150

Strain = 1·666X10⁻³

Stresr/ Strain = modulus of Elasticity

Stresr= 1.6666×10⁻³ ×10000×10³

Stresr= 16666 PSi

Stresr= force/area

Area= 45000/16666

Area= 2.700 in²

Area= π/4 D²

2070= π/4 D²

D=  1.3541 in

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a concrete mix with a 3-in. slump, w/c ratio of 0.50, and sand with a fineness modulus of 2.4 contains 1700 lb/yd3 of coarse aggregate. compute the required weight of coarse aggregate per cubic yard.

Answers

The weight of the coarse aggregate is 1247.63 kg/m³

How to calculate the weight?

Fineness modulus = 2.4

Bulk unit weight = 118 = 1890.63 kg/m3

Slump = 3inches = 76mm

Assume a 20mm maximum size of aggregate and non-air-entrained concrete, the approximate requirements for mixing water and air content for different workabilities and nominal maximum size of aggregate is illustrated.

The slump of 76mm, 20mm size of aggregate, water content  is 200 kg/m3³.

The required cement content arrow  = 200/0.5

= 400 kg/m³

Now, the dry bulk volume of coarse aggregate per unit volume of concrete. The value for 20mm aggregate, fineness modulus is 2.4, a bulk volume of dry rodded coarse aggregate is 0.66

Therefore, the weight of coarse aggregate will be:

= 0.66 x 1890.36

= 1247.63 kg/m³

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at what pressure range does the technician valve off the vacuum pump when evacuating to a deep vacuum? a. 200 to 100 microns. b. 300 to 100 microns. c. 300 to 200 microns. d. 500 to 300 microns.

Answers

The technician valve off the vacuum pump when evacuating to a deep vacuum 500 to 300 microns.

What is vacuum pump?
A vacuum pump is a piece of machinery that may force gas or air molecules into a sealed chamber to create a partial and low-pressure vacuum. A vacuum is a condition when the pressure inside the chamber is lower than the pressure outside the chamber or in nearby systems. This is distinct from an absolute vacuum, when there are no gas molecules and a pressure of 0 Pa. The force of the air pressing down on the earth, or atmospheric pressure, is one of the essential components of a vacuum pump. The weight of air molecules, which decreases at greater altitudes, produces this pressure. Machines, notably vacuum pumps, are significantly impacted by air pressure or atmospheric pressure.

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sand a has a fineness modulus of 2.5 and sand b a fineness modulus of 2.95. everything else being equal, which sand will require a greater water content when used in concrete?

Answers

For lower water cement ratio high value of fineness modulus should be adopted and for higher water cement ratio low value of fineness modulus should be preferred

therefore in this situation the sand A has low fineness modulus than sand B so sand A will require more water and sand B will require less water when used in concrete.

Although fineness modulus is inversely proportional to water requirement.

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two technicians are discussing drum brake shoes. technician a says that forward and rearward facing shoes are the same and can be installed in either position on any drum brake system. technician b says that the longer linings should always be placed toward the front of the vehicle which technician is correct?

Answers

Both technicians are wrong.

Drum Brakes :

                 Drum brakes generate consistent braking force whether the vehicle travels forward or backward. Drum brakes produce the same amount of braking force in both directions, which explains this. This kind is typically utilised for the passenger car's rear brakes. Drum brakes have brake drums that rotate with the wheels. A drum braking system includes brake shoes. The crescent-shaped brake shoes have a rough friction surface on one side. They are contained within a brake drum. The brake shoes are thrust outward when the brake pedal is depressed, pressing on the brake drum's interior and slowing the wheel.

          Although disc brakes are the more reliable and efficient option, they are not without drawbacks. Although they are not very practical, drum brakes are necessary for parking a car—unless, of course, you want to return to the days of wooden blocks on sticks. As a result, modern cars frequently still have drum brakes.

          A drum braking system includes brake shoes. The crescent-shaped brake shoes have a rough friction surface on one side. They are contained within a brake drum. The brake shoes are thrust outward when the brake pedal is depressed, pressing on the brake drum's interior and slowing the wheel. Drum brakes and brake shoes are vintage braking system components that are becoming less frequent on contemporary cars. However, because drum brakes are less expensive to manufacture, some car models will have them on the back wheels.

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Technician A is wrong and Technician B words that drum brake shoes need to be cleaned and reused when lining is stained with gear oil or grease is correct.

What is drum brake shoes?A drum braking system includes brake shoes. The crescent-shaped brake shoes have a rough friction surface on one side. They are contained within a brake drum. The brake shoes are thrust outward when the brake pedal is depressed, pressing on the brake drum's interior and slowing the wheel. Each drum contains brake shoes with brake linings (friction material). To provide braking force and enable the vehicle to slow down and stop, pistons (a pressure mechanism) press against the drums from the inside. With the right care and maintenance, drum brakes can typically be expected to last between 150,000 and 200,000 miles. They typically require new brake shoes every 30,000 to 40,000 miles.

Technician A is wrong and Technician B words that drum brake shoes need to be cleaned and reused when lining is stained with gear oil or grease is correct.

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a round reinforcing bar constructed from cold-rolled steel and 320 mm long is required to support a tensile load of 65 kn. determine the minimum cross-sectional area if the stress cannot exceed 240 mpa or elongate more than .42 mm.

Answers

The minimum cross-sectional area if the stress cannot exceed 240 mpa will be 19mm.

What is cross-sectional area?

The cross-sectional area consequently depends on where and how that plane is crossing (intersecting) the 3-dimensional object. For example, a straight piece of (cylindrical) pipe, because once crossed by a plane perpendicular to the direction (cylindrical symmetry axis), the cross-sectional area is a circular ring; even as plane tilts along the axis, crossing iit at an angle between 90 and 0 degrees, the cross-sectional area becomes larger as well as of elliptical shape.

L=320mm=0.32m

P=65000N

бт=240×10⁶N/m²

240×10⁶> 65000/(π/4×d²)               ∴бт= load/(c/s area)

∴ d= 18.57mm

∴d=19mm

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a plumbing fixtrue outlet is 18 feet above the water service line. pressure available at the water service is 80 psi. determine the change in pressure due to elevation

Answers

The change in pressure due to elevation above the water service line is 72.2 psi

Air pressure decreases as altitude increases. In other words, a higher apparent height implies a lower pressure.

That occurs for a number of reasons. Gravitation is the first cause. The gravitational of the Earth draws air as close to the surface as possible.

The intensity is the second. The amount of gas molecules in the air reduces as height increases air gets less dense than the atmosphere closer to ocean level.

The area covered by air decreases as altitude increases. As a result, lower air molecules will result in a reduction of atmospheric pressure. With height, atmospheric pressure decreases. Air pressure decreases rapidly at lower elevations at first, then more slowly as the majority of the atmosphere's molecules are held close to the earth's surface by gravity.

static head, in psi, ΔPstatic = -0.433Z = -0.433(18 ft) = -7.8 psi = 7.8 psi pressure drop

Pressure that will be is available = 80 psi - 7.8 psi = 72.2 psi

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the analog telephone line has maximum frequency 4 khz. analog telephone signal converted to digital. which sampling frequency analog - to- digital pcm converter must have ?

Answers

The analog telephone signal must be sampled at a minimum of 8 kHz to be converted to digital using PCM.

What is PCM?
In order to represent sampled analogue signals digitally, one technique is pulse-code modulation (PCM). It serves as the industry standard for digital audio in applications such as digital telephony, compact discs, and computers. In a PCM stream, overall amplitude of the analogue signal is quantized to a nearest value inside a range of digital steps for each regular, uniformly spaced sample. A particular variant of PCM called linear pulse-code modulation (LPCM) has linearly uniform quantization levels. In contrast, PCM encodings (such as those using the A-law or -law algorithms) have quantization levels that are dependent on amplitude. PCM is a more broad term, but it's frequently used to refer to data that has been encoded using LPCM.

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an alternator has zero output. technician a says that the alternator field circuit may have an open circuit. technician b says that the fusible link may be open in the alternator to battery wire. which technician is correct?

Answers

Option a is correct.

Fusible link is used to absorb the overload current passing through the circuit to avoid damages to the circuit. In this case if the fusible link is open, the overload current may have reached and due to which the circuit has been damaged but given that the output is zero which means no current is flowing through the circuit.

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please hurry!!!! which of the statements below is true a 12 awg conductor with THHN insulation has a greater resistance per foot that a 12 awg conductor with thw insulation a 8 awg conductor has a greater resistance per foot than a 6 awg conductorthe resistance per foot of a 14 awg conductor is the same as that of a 10 awg conductor

Answers

Answer:

a 8 awg conductor has a higher resistance that a 6 awg conductor

Explanation:

when it comes to wires remeber the thinner the wire (higger gauge) the more resistance.

The statement which is true is as follows:

An 8 AWG conductor has a greater resistance per foot than a 6 AWG conductor.

Thus, the correct option for this question is C.

What is meant by Resistance?

In physics, resistance may be characterized as a measure of the opposition to current flow in an electrical circuit. It is measured in ohms. The symbol of its representation is Ω.

According to the context of this question, it is a principle in physics that the thinner the wire, the more resistance. This is because it suffers more from environmental conditions like high temperatures, etc.

So, an 8 AWG wire is thinner than a 6 AWG wire. As a result of this, ut exhibit more resistance.

Therefore, an 8 AWG conductor has a greater resistance per foot than a 6 AWG conductor is the statement that is true. Thus, the correct option for this question is C.

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in large compressors, the gas is often cooled while being compressed to reduce the power consumed by the compressor. explain how cooling the gas during a compression process reduces the power consumption.

Answers

The way cooling the gas during a compression process reduces power consumption can be done by steady flow devices.

Cooling the compressor coils lower the bloodless sink temperature of the thermodynamic cycle that the gadget operates on. This complements performance with the aid of using improving the distinction between the temperature of the warmth supply and that of the bloodless sink. Since compression generates heat, the compressed gas desires to be cooled among stages, making the compression much less adiabatic and more isothermal. When intermediate cooling is determined out of the gas at some stage in compression then it decreases gas-unique quantity as a result electricity intake of the compressor is lower.

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6. Which are considered "severe driving" conditions?
A) Frequent short trips
B) O Hauling or towing
c)O Driving in dusty conditions
D) O Driving in extreme hot or cold temperatures
E) O All of the above

Answers

The options that are considered "severe driving" conditions are:

Driving in dusty conditions (Option C)Driving in extremely hot or cold temperatures (Option D).

How do you manage Driving in severe Conditions?

Take it easy. On slick roads, braking takes longer – the slower you travel, the easier it is to notice possible dangers and manage, slow, and stop your car. Check that your vehicle is weather-ready (check your battery, windshield wipers and washer fluid, tires, antifreeze, and headlights).

If you know the journey will be unpleasant, question whether you really need to go. To avoid any problems, consider rescheduling or using other transportation.

If you must travel, use the Journey Management Plan to plan ahead of time. Check your vehicle's tyres, brakes, windshield wipers, lights, and fluid levels to ensure that it is ready for the voyage.

Be prepared for emergencies and carry emergency equipment. Always bring drinking water and a blanket for unexpected weather.

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which is typically driven through a gear box and a clutch connected by a drive shaft to the front of the crankshaft? select one: a. midship pump b. front-mount pump c. power-take-off (pto) drive d. auxiliary engine driven pump

Answers

Auxiliary engine-driven pump is typically driven through a gearbox and a clutch connected by a drive shaft to the front of the crankshaft.

What is gearbox?

Gearboxes are basically a collection of gears and their casings, which are most typically found in automobiles. Because most motor vehicle engines have high operating and idling speeds, gearboxes allow machinery to run more effectively and even assist in slowing and shutting down machinery. Gearboxes are used in autos, turbines, and heavy machinery to transfer energy from one rotating power source to another. More information on how a plethora of internal components combine to enable safe movement in practically all types of equipment may be found in the Crankshaft and Piston definitions.

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an analog signal with a bandwidth of 36mhz is sampled at a frequency (fs) of 36,000,000 samples per second during the adc (analog-to-digital conversion) process. what is the outcome of the received signal after the dac (digital-to-analog conversion) process? selected answer: b. the signal will not experience aliasing answers: a. the signal will have experienced aliasing b. the signal will not experience aliasing c. the signal will perfectly represent the original pre-adc analog signal d. none of the above describes the outcome

Answers

The signal will have experienced aliasing after the dac (digital-to-analog conversion) process.

What do you mean by signal?

A signal is any time-varying voltage, current, or electromagnetic wave that transmits information in electronics and telecommunications.

Given, the bandwidth of the signal  [tex]f_{m}[/tex]= 36MHz

= 36 × 10⁶ Hz

The sampling frequency f₈ = 36 × 10⁶ Hz

If the sampling frequency is equal to the signal's bandwidth, aliasing will occur.

According to the Nyquist requirements, a repeating waveform can be successfully reconstructed if the sampling frequency is greater than twice the highest frequency to be recorded.

∴According to Nyquist criterion, for flawless reconstruction of an original signal, i.e. without aliasing effect;

Then, f₈ ≥ 2[tex]f_m[/tex]

So, A is the right answer.

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as you perform a sonographic exam, you switch from a 3.5 mhz transducer to a 7.0 mhz transducer to image a superficial structure. compared to the 3.5 mhz transducer, what will the 7.0 mhz attenuation rate and wavelength be?

Answers

Double the attenuation rate, one-half the wavelength will the 7.0 mhz attenuation rate and wavelength.

What is wavelength?

The wavelength of a periodic wave is the distance over which the wave's shape repeats in physics. It is the distance between two successive corresponding locations of the same phase on the wave, such as two neighbouring crests, troughs, or zero crossings, and it is a feature of both travelling and standing waves, in addition to other spatial wave patterns.

The rate of attenuation doubles when the frequency is doubled, but the wavelength is halved. Wavelength decreases as frequency increases, improving resolution while decreasing penetration due to greater sound absorption.

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two technicians are discussing conductance testing a battery. technician a says that conductance testing will measure the battery's available cca's. technician b says that conductance testing will measure the battery's voltage. who is correct?

Answers

According to the question of voltage, technician B is correct.

What is voltage?

Voltage is the difference in electric potential between two points, often known as electric pressure, electric tension, or (electric) potential difference. It refers to the labour required per unit of charge to move a test charge between two places in a static electric field. The derived unit for voltage in the International System of Units is called volt. Work per unit charge is defined in SI units as joules per coulomb, where 1 volt equals 1 joule (of work) for 1 coulomb (of charge).

Conductance testing measures the battery's voltage.

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steel wire, 3.2 m long, has a diameter of 1.2 mm. the wire stretches 1.6 mm when it bears a load. young's modulus for steel is . the mass of the load is closest to:

Answers

The young's modulus for steel is 2.83k x 10⁶ Pa.

We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to the spring constant and displacement under the elastic condition. It can be described as

F = k . ΔL

where F is force, k is spring constant and ΔL is displacement.

As we know that the modulus of young can represent the elasticity of the material. The young modulus can be written as

Y = σ / ε

where Y is young's modulus, σ is stress and ε is strain.

From the question above, we know that

L = 3.2 m

d = 1.2 mm

r = 0.0006 m

ΔL = 1.6 mm = 0.0016 m

Find the surface area

A = π . r²

A = π . 0.0006²

A = 3.6π x 10¯⁷ m²

Find the young's modulus

Y = σ / ε

Y = (F/A) / (ΔL/L)

Y = (k.ΔL / A) / (ΔL/L)

Y = ( k . 0.0016 / 3.6π x 10¯⁷ ) / ( 0.0016 / 3.2 )

Y = 2.83k x 10⁶ Pa

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a 30-station transfer line has an ideal cycle time of 0.75 min, an average downtime of 6.0 min per line stop occurrence, and a station failure frequency of 0.01 for all stations. determine the current line efficiency and produc

Answers

The current line efficiency is 29.41% and production rate is 23.52pc/hr

What is efficiency?

Efficiency is the capacity to avoid wasting materials, energy, efforts, money, and time when performing something or getting a desired outcome. In a broader sense, it is the ability to execute things properly, successfully, and efficiently. According to Deborah Stone, efficiency is "therefore not a goal in and of itself." It is something we want not for its own sake, but because it allows us to obtain more of the things we value.

Given data is,

ideal cycle Time = 0.75 min

Failure frequency of 0.01 for all Stations.

Average downtime = 6min

a). Frequency of line stops is,

F=np (i)

Where,

n = Work Stations

P = frequency of Station breakdown

∴n=30, P=0.01

⇒ F = 30 (0.01) = 0.3

Finding coefficient of line efficiency (E):

Formula, E = Tc/Tp×100%

where, Tc= cycle time

            Tp=Average production time

∴ Tp= Tc+FTd

⇒Tp = 0.75+(0.3)(6)

        = 2.55min/pc

Line efficiency(E)= (0.75/2.55)×100%

                         E= 29.41%

Production rate(Rp):

Rp= 1/Tp

Rp= 1/2.55

   =0.392 (pc/min).(min/1hr)

   =0.392×60pc/hr

   = 23.52pc/hr

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technician a says that a poor engine ground connection can cause electricity to flow through wheel bearings, causing damage. technician b says that overloading may result in premature bearing failure. which technician is correct?

Answers

Technician a is correct.

Poor grounding causes serious damages. If the grounding is not done properly the current will find a path and will start flowing where the resistance will be low and thus it can create damage.

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technician a says that when a charged battery's electrolyte is low it should be topped up with distilled water. technician b says that the battery should be topped up with a mixture of acid and water. who is correct?

Answers

According to the question of electrolytes, technician A is correct.

What is an electrolyte?

An electrolyte is a material containing ions that conducts electricity through the movement of those ions but does not conduct electrons. Most soluble salts, acids, and bases dissolved in a polar solvent, such as water, fall into this category. When the substance dissolves, it splits into cations and anions, which spread uniformly throughout the solvent. The term electrolyte refers to the substance that is dissolved in medicine and sometimes in chemistry. Such a solution is electrically neutral. When an electric potential is introduced to such a solution, the cations are pulled to the electrode with the most electrons, while the anions are drawn to the electrode with the least electrons.

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a sinusoidal voltage source of v(t) 170 cos (2 60t) v is applied to a nonlinear load, resulting in a nonsinusoidal current that is expressed in fourier series form as i(t) 10 cos (2 60t 30 ) 6 cos (4 60t 45 ) 3 cos (8 60t 20 ) a. determine (a) the power absorbed by the load, (b) the power factor of the load, (c) the distortion factor, and (d) the total harmonic distortion of the load current.

Answers

The power factor in a circuit or distribution system is the ratio of actual power to apparent power. Real, reactive, harmonic, and apparent (total) power all exist in an AC circuit.

True power is the amount of energy, measured in W or kW, that motors, lights, and other appliances use to create useful work. Reactive power is the power that inductors and capacitors store and release, measured in VAR or kVAR. A phase difference between the waveforms of the current and voltage indicates the presence of reactive power. Harmonic power, measured in VA or kVA, is the power lost due to harmonic distortion. The vector sum of real power, reactive power, and harmonic power is known as apparent power, and it is measured in VA or kVA. Evident power is a vector summation rather than a straightforward addition.

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