A spring-mass-damper instrument is employed for acceleration measurements. The spring constant is 12000 N/m. The mass is 5 g. The damping ratio is 0.4.

Required:
a. Find natural frequency (in Hz) of this instrument.
b. Determine the bandwidth of this instrument in Hz
c. How can you increase the bandwidth of this instrument?

Answers

Answer 1

Answer:

a) 246.56 Hz

b) 203.313 Hz

c) Add more springs

Explanation:

Spring constant = 12000 N/m

mass = 5g = 5 * 10^-3 kg

damping ratio = 0.4

a) Calculate Natural frequency

Wn = √k/m = [tex]\sqrt{12000 / 5*10^{-3} }[/tex]

                   = 1549.19 rad/s  ≈ 246.56 Hz

b) Bandwidth of instrument

W / Wn = [tex]\sqrt{1-2(0.4)^2}[/tex]

W / Wn = 0.8246

therefore Bandwidth ( W ) = Wn * 0.8246 = 246.56 * 0.8246 = 203.313 Hz

C ) To increase the bandwidth we have to add more springs


Related Questions

Blood pressure is conventionally measured in the dimensions of millimeters in a column of mercury, and the readings are expressed as two numbers, for example, 120 and 80. The first number is called the systolic value, and it is the maximum pressure developed as the heart contracts. The second number (called the diastolic reading) is the pressure when the heart is at rest. In the units of kPa and psi, what is the difference in pressure between the given systolic and diastolic readings? The density of mercury is 13.54 Mg/m3.

Answers

Answer:

- the difference in pressure between the given systolic and diastolic readings in KPa is 5.313 KPa

- the difference in pressure between the given systolic and diastolic readings in psi is 0.77 psi

Explanation:

Given the data in the question;

blood pressure reading = 120 and 80 { systolic and diastolic }

To determine the difference in pressure between the two readings, we use the equation as follows;

change in pressure ΔP = p × g × h

where p is mercury density, g is acceleration due to gravity and h is difference of height in mercury column.

Frist,  

difference of height in mercury column h = 120 - 80 = 40 mm = 0.04 m

given that; The density of mercury is 13.54 Mg/m³ = 13.54 × 10³ kg/m³

Not that Mg is Megagrams not Milligrams }

we know that g = 9.81 m/s²

so we substitute into our equation;

change in pressure ΔP = (13.54 × 10³) × 9.81 × 0.04

ΔP = 5313.096 kg/m-s² ≈ 5313.096 N/m²

ΔP = 5.313 KPa

Therefore, the difference in pressure between the given systolic and diastolic readings in KPa is 5.313 KPa.

In psi,

ΔP = 5.313 KPa

ΔP = 5313 Pa

ΔP = 5313 pa × ( 1.45 × 10⁻⁴ psi / 1 Pa )

ΔP = 0.770385 psi ≈ 0.77 psi

Therefore, the difference in pressure between the given systolic and diastolic readings in psi is 0.77 psi

An air conditioner operating at steady state maintains a dwelling at 70°F on a day when the outside temperature is 99°F. The rate of heat transfer into the dwelling through the walls and roof is 30,000 Btu/h and the net power input to the air conditioner compressor is 3.3 hp.

Required:
a. Determine the coefficient of performance of the air conditioner.
b. Determine the power input required, in hp, and the coefficient of performance for a reversible air conditioner providing the same cooling effect while operating between the same cold and hot temperatures.

Answers

Answer:

a) the coefficient of performance of the air conditioner is 3.5729

b)

- the power input required for a reversible air conditioner is 0.645 hp

- the coefficient of performance for the reversible air conditioner is 18.2759

Explanation:

Given the data in the question;

Lower Temperature [tex]T_L[/tex] = 70°F = ( 70 + 460 )R = 530 R

Higher Temperature [tex]T_H[/tex] = 99° F = ( 99 + 460 )R = 559 R

Cooling Load [tex]Q_L[/tex] = 30000 Btu/h

we know that 1 hp = 2544.43 Btu/h

Net power input P = 3.3 hp = ( 3.3 × 2544.43 )Btu/h = 8396.619 Btu/h

a)

Coefficient of performance of the air conditioner;

[tex]COP_{air-condition[/tex] = Cooling Load [tex]Q_L[/tex]  / power P

we substitute

[tex]COP_{air-condition[/tex] = 30000 Btu/h / 8396.619 Btu/h

[tex]COP_{air-condition[/tex] = 3.5729

Therefore, the coefficient of performance of the air conditioner is 3.5729

b)

- Power input required ( in hp )

[tex]Q_L[/tex] / [tex]P_{required[/tex] = [tex]T_L[/tex] / ( [tex]T_H[/tex] - [tex]T_L[/tex] )

we substitute

30000 Btu/h / [tex]P_{required[/tex] = 530 R / ( 559 R - 530 R )

30000 Btu/h / [tex]P_{required[/tex] = 530 R / 29 R

we solve for [tex]P_{required[/tex]

[tex]P_{required[/tex]  = ( 30000 Btu/h × 29 R ) / 530 R

[tex]P_{required[/tex]  = ( 870000 Btu/h / 530 )

[tex]P_{required[/tex]  = 1641.5094 Btu/h

we know that; 1 hp = 2544.43 Btu/h

so;

[tex]P_{required[/tex]  = ( 1641.5094 / 2544.43 ) hp

[tex]P_{required[/tex]  = 0.645 hp

Hence, the power input required for a reversible air conditioner is 0.645 hp

- the coefficient of performance for the reversible air conditioner;

[tex]COP_{rev-air-condition[/tex] = [tex]T_L[/tex] / ( [tex]T_H[/tex] - [tex]T_L[/tex] )

we substitute

[tex]COP_{rev-air-condition[/tex] = 530 R / ( 559 R - 530 R )

[tex]COP_{rev-air-condition[/tex] = 530 R / 29 R

[tex]COP_{rev-air-condition[/tex] = 18.2759

Hence, the coefficient of performance for the reversible air conditioner is 18.2759

Three single-phase, 10 kVA, 460/120 V, 60 Hz transformers are connected to form a three-phase 460/208 V transformer bank. The equivalent impedance of each transformer referred to HV side is 1.0 +j2.0 Ω. The transformer delivers 20 kW at 0.8 pf leading. Answer the following questions:
(a) Draw a schematic diagram showing the transformer connection.
(b) Determine the magnitude of transformer primary and secondary winding currents.
(c) Determine the primary voltage magnitude for this operating condition. Determine the voltage regulation

Answers

Answer:

A) attached below

B) I₁ = 18.1 A ,  I₂ = 69.39 A

C)  V( magnitude) = 454.5 ∠ 5.04° V ,  Voltage regulation = ≈  -1.2%

Explanation:

A) Schematic diagram attached below

attached below

B) magnitude of primary and secondary winding currents

I₂ ( secondary current ) = P / √3 * VL * cos∅ ---------- ( 1 )

VL = Line voltage = 208

cos∅  ( power factor ) = 0.8

P = 20 * 10^3 watts

insert values into equation 1

I₂ = 69.39 A

I₁ ( primary current ) = I₂V2 / V1

                               I₁ = ( 69.39 * 120 ) / 460  = 18.1 A

C ) Calculate the Primary voltage magnitude and the Voltage regulation

V(magnitude ) = Vp + ( I₁ ∠∅ ) Req                            ( 1 + j2 = 2.24 ∠63.43° )

                       = 460 + ( 18.1 * cos^-1 (0.8) ) ( 1 + j2 )

                       = 460 + 40.544 ∠ 100.3°

V( magnitude) = 454.5 ∠ 5.04° V

Voltage regulation

= ((Vmag - V1) / V1 )) * 100

= (( 454.5 - 460 / 460 )) * 100

= -1.195 % ≈  -1.2%

6. Which of the following is considered a major disqualifying offense?
A. Following the vehicle ahead too closely
B. Leaving the scene of an accident
C. Texting while driving a CMV
D. Violating an out-of-service order

Answers

The option that is considered a major disqualifying offense is; B. Leaving the scene of an accident

What are major traffic offenses?

The federal motor carrier safety administration has come up with different rules and regulations that can classify as a major disqualifying offense by drivers of motor vehicles such as;

Driving under the influence of alcohol or hard substanceLeaving the scene of an accidentUsing the vehicle to commit a felony

Looking at the given options, the only correct one is Option B

Read more about traffic laws at; https://brainly.com/question/9490740

A steel wire is suspended vertically from its upper end. The wire is 400 ft long and has a diameter of 3/16 in. The unit weight of steel is 490 pcf. Compute:

a. the maximum tensile stress due to the weight of the wire
b. the maximum load P that could be supported at the lower end of the wire. Allowable tensile stress is 24,000 psi.

Answers

Answer:

a) the maximum tensile stress due to the weight of the wire is 1361.23 psi

b) the maximum load P that could be supported at the lower end of the wire is 624.83 lb

Explanation:

Given the data in the question;

Length of wire L = 400 ft = ( 400 × 12 )in = 4800 in

Diameter d = 3/16 in

Unit weight w = 490 pcf

First we determine the area of the wire;

A = π/4 × d²

we substitute

A = π/4 × (3/16)²

A = 0.0276 in²

Next we get the Volume

V = Area × Length of wire

we substitute

V = 0.0276 × 4800

V = 132.48 in³

Weight of the steel wire will be;

W = Unit weight × Volume

we substitute

W = 490 × ( 132.48 / 12³ )

W = 490 × 0.076666

W = 37.57 lb

a) the maximum tensile stress due to the weight of the wire;

σ[tex]_w[/tex] = W / A

we substitute

σ[tex]_w[/tex] = 37.57 / 0.0276

= 1361.23 psi

Therefore, the maximum tensile stress due to the weight of the wire is 1361.23 psi

b) the maximum load P that could be supported at the lower end of the wire. Allowable tensile stress is 24,000 psi

Maximum load P that the wire can safely support its lower end will be;

P = ( σ[tex]_{all[/tex] - σ[tex]_w[/tex] )A

we substitute

P = ( 24000 - 1361.23  )0.0276

P = 22638.77 × 0.0276

P = 624.83 lb

Therefore, the maximum load P that could be supported at the lower end of the wire is 624.83 lb

A cross beam in a highway bridge experiences a stress of 14 ksi due to the dead weight of the bridge structure. When a fully loaded tractor-trailer crosses over the bridge, however, the stress in the beam increases to 45 ksi. The beam is fabricated from steel with an ultimate tensile strength of 76 ksi, a yield strength of 50 ksi, and an endurance limit of 38 ksi. Find the safety factor for an infinite fatigue life:

a. if the effect of mean stress on fatigue strength is ignored
b. when the effect of mean stress on fatigue strength is considered.

Answers

Answer:

a) 2.452

b) 1.256

Explanation:

Stress due to dead weight. = 14 Ksi

Stress due to fully loaded tractor-trailer = 45Ksi

ultimate tensile strength of beam = 76 Ksi

yield strength = 50 Ksi

endurance limit = 38 Ksi

Determine the safety factor for an infinite fatigue life

a) If mean stress on fatigue strength is ignored

β = ( 45 - 14 ) / 2

  = 15.5 Ksi

hence FOS ( factor of safety ) = endurance limit / β

                                                 = 38 / 15.5 = 2.452

b) When mean stress on fatigue strength is considered

β2 = 45 + 14 / 2

    = 29.5 Ksi

Ratio  = β / β2 = 15.5 / 29.5 = 0.5254

Next step: applying Goodman method

Sa =  [ ( 0.5254 * 38 *76 ) / ( 0.5254*76 + 38 ) ]

     = 19.47 Ksi

hence the FOS ( factor of safety ) = Sa / β

                                                      = 19.47 / 15.5 = 1.256

(a) The safety factor "2.452".(b) The safety factor "1.256".

Given:

Stress due to dead weight = 14 KsiDue to loaded tractor = 45 KsiTensile strength of beam = 76 KsiYield strength = 50 KsiEndurance limit = 38 Ksi

(a)

According to the question,

→ [tex]\beta = \frac{45-14}{2}[/tex]

      [tex]= \frac{31}{2}[/tex]

      [tex]= 15.5 \ Ksi[/tex]

hence,

The safety factor will be:

= [tex]\frac{Endurance \ limit}{\beta}[/tex]

= [tex]\frac{38}{15.5}[/tex]

= [tex]2.452[/tex]

(b)

→ [tex]\beta_2 = \frac{45+14}{2}[/tex]

       [tex]= \frac{59}{2}[/tex]

       [tex]= 29.5 \ Ksi[/tex]

Ration will be:

= [tex]\frac{\beta}{\beta_2}[/tex]

= [tex]\frac{15.5}{29.5}[/tex]

= [tex]0.5254[/tex]

By applying Goodman method,

→ [tex]Sa = \frac{0.5254\times 38\times 76}{0.5254\times 76+38}[/tex]

       [tex]= 19.47 \ Ksi[/tex]

hence,

The safety factor will be:

= [tex]\frac{Sa}{\beta}[/tex]

= [tex]\frac{19.47}{15.5}[/tex]

= [tex]1.256[/tex]

Thus the above response is correct.

Learn more about mean stress here:

https://brainly.com/question/20116607

A blizzard is a massive snowstorm. Definitions vary, but for our purposes, we will assume that a blizzard is characterized by both winds of 30 mph or higher and blowing snow that leads to visibility of 0.5 miles or less, sustained for at least 4 hours. Data from a storm one day has been stored in a file stormtrack.dat. There are 24 lines in the file, one for each hour of the day. Each line in the file has the wind speed and visibility at a location. Create a sample data file. Read this data from the file and determine whether blizzard conditions were met during this day or not.

Answers

Answer:

The weather conditions do not suggest a blizzard. It is explained below.

Explanation:

wind_speed=randi([12 56],24,1);

visibility=randi([1 10],24,1)/10;

storm_data=[wind_speed,visibility];

save stormtrack.dat storm_data -ascii

clear

load stormtrack.dat

fprintf('Below is the storm data from the file stormtrack.dat \n');

disp(stormtrack)

wind_speed=stormtrack(:,1);

visibility=stormtrack(:,2);

L=length(wind_speed);

count=0;

i=0;

while count<4 && i<L

i=i+1;

if wind_speed(i)>=30 && visibility(i)<=0.5

count=count+1;

else

count=0;

end

end

if count==4

fprintf('The weather conditions suggest a blizzard.\n')

else

fprintf('The weather conditions do not suggest a blizzard.\n')

end

Results:

Below is the storm data from the file stormtrack.dat  

49.0000 0.1000

56.0000 0.4000

44.0000 0.6000

27.0000 0.7000

38.0000 0.5000

16.0000 0.9000

52.0000 0.8000

1 51.0000 1.0000

48.0000 0.6000

23.0000 0.4000

38.0000 0.2000

13.0000 0.7000

31.0000 0.8000

26.0000 0.5000

19.0000 0.1000

20.0000 0.3000

31.0000 0.2000

16.0000 0.3000

38.0000 0.5000

33.0000 0.6000

43.0000 0.5000

43.0000 0.9000

40.0000 0.6000

13.0000 1.0000

The weather conditions do not suggest a blizzard.

Suppose you have two arrays: Arr1 and Arr2. Arr1 will be sorted values. For each element v in Arr2, you need to write a pseudo code that will print the number of elements in Arr1 that is less than or equal to v. For example: suppose you are given two arrays of size 5 and 3 respectively. 5 3 [size of the arrays] Arr1 = 1 3 5 7 9 Arr2 = 6 4 8 The output should be 3 2 4 Explanation: Firstly, you should search how many numbers are there in Arr1 which are less than 6. There are 1, 3, 5 which are less than 6 (total 3 numbers). Therefore, the answer for 6 will be 3. After that, you will do the same thing for 4 and 8 and output the corresponding answers which are 2 and 4. Your searching method should not take more than O (log n) time. Sample Input Sample Output 5 5 1 1 2 2 5 3 1 4 1 5 4 2 4 2 5

Answers

Answer:

The algorithm is as follows:

1. Declare Arr1 and Arr2

2. Get Input for Arr1 and Arr2

3. Initialize count to 0

4. For i in Arr2

4.1 For j in Arr1:

4.1.1 If i > j Then

4.1.1.1 count = count + 1

4.2 End j loop

4.3 Print count

4.4 count = 0

4.5 End i loop

5. End

Explanation:

This declares both arrays

1. Declare Arr1 and Arr2

This gets input for both arrays

2. Get Input for Arr1 and Arr2

This initializes count to 0

3. Initialize count to 0

This iterates through Arr2

4. For i in Arr2

This iterates through Arr1 (An inner loop)

4.1 For j in Arr1:

This checks if current element is greater than current element in Arr1

4.1.1 If i > j Then

If yes, count is incremented by 1

4.1.1.1 count = count + 1

This ends the inner loop

4.2 End j loop

Print count and set count to 0

4.3 Print count

4.4 count = 0

End the outer loop

4.5 End i loop

End the algorithm

5. End

A structural element for a new bridge is designed for a constant load of 1000 psi. Its mean resistance is 1200 psi and the probability of failure is 1.9 X 10–3 . Find the element's safety factor as well as standard deviation, variance and coefficient of variation of its resistance. Clearly show units as appropriate.

Answers

Answer:

i) SF = 0.83

ii) 10 psi

iii) 3.16 psi

iv) 0.0083

Explanation:

Constant load = 1000 Psi

mean resistance = 1200 psi

Probability of failure = 1.9 * 10^-3

Determine

i) Safety factor

S.F =  1 / (mean load / load design ) = 1 / ( 1200 / 1000 ) = 0.83

ii) Standard deviation

1.9 X 10^-3 = e  ( -1/2 ( μ / б) ^3  /  (2.5 * 6  )

0.004756 = e^- 20000 / б^3

hence std = 10 psi

iii) Variance

= [tex]\sqrt{10}[/tex] = 3.16 psi

iv) coefficient of variation

Cv = std / mean resistance

    = 10 / 1200 = 0.0083

What is the link between fossil fuel use and flowers blooming earlier in the spring season

Answers

Answer:

a warmer earth due to fossil fuel emissions has milder winters and earlier springs

Explanation:

fossil fuels cause global warming which would make the winters less cold and spring and summer hotter.

The volume of the pyramid is 36 cubic cm, find the volume of the prism.

Answers

Answer:

Given :- the volume of the pyramid is 36 cubic cm , find the volume of the prism on same base and same height as pyramid .

Answer :-

we know that,

Volume of pyramid = (1/3) * Base area * height .

Volume of prism = Base area * height .

so,

→ Volume of pyramid = 36 cm³

→ (1/3) * Base area * height = 36

→ Base area * height = 36 * 3

→ Base area * height = 108 cm³.

then,

→ Volume of prism = Base area * height .

→ Volume of prism = 108 cm³ (Ans.)

Explanation:

What is the size in square inches of a 550 MCM size of a cable

Answers

0.925

What is the size in square inches of a 550 MCM size of a cable

In addition to passing an ASE certification test, automotive technicians must have __________ year(s) of on the job training or __________ year(s) of on the job training and a two-year degree in automotive repair to qualify for certification.

Answers

Two years or one year

2 Select the correct answer from each drop-down menu. Identify the jobs with the type of risks they include. Michael is a/n engineer with the risk of inhaling very small crystalline particles that can cause silicosis, pulmonary diseases, or lung cancer. Tommy is a/n engineer with the risk of exposure to poisonous pollutants in production units when a certain reaction does not follow h. textile Reset Next chemical automobile​

Answers

Answer:

2nd option is correct

Explanation:

as Tommy is an engineer only exposed to poisonous pollutants while Michael is an engineer exposed to small crystalline particles that can cause lung cancer and other diseases

I Hope You Got Your Answer

Which federal agency issues the model food code?

Answers

The FDA! (food and drug administration)

The federal agency issues the model food code is FDA

How to determine the agency

The U. S. Food and Drug Administration (FDA) publishes the Food Code, a model that assists food control jurisdictions at all levels of government by providing them with a scientifically sound technical and legal basis for regulating the retail and food service segment of the industry (restaurants and grocery stores.

The Food Code is a model for safeguarding public health and ensuring food is unadulterated and honestly presented when offered to the consumer. It represents FDA's best advice for a uniform system of provisions that address the safety and protection of food offered at retail and in food service.

Learn more about FDA at: https://brainly.com/question/939216

#SPJ6

List down 10 items made from plastic in your home. Describe why each item is made from plastic.

Answers

Answer:

each item is made from plastic are:

water bottlebucketjuggallonplastic bags as poly thin bagto cover wirehandle of knife,pressure cooker,etc plastic roofdustbinplastic plates ,cups

Explanation:

Items made from plastic in our home are

water bottlesjugbucketfood wrappersdisposable plastic cupshand sanitizer bottlesplastic grocery bagsstraws fruit basket Dustbin

items and their uses

Water bottles are used to drink waterfood wrappers are used to wrap the different types of food itemsplastic grocery bags are used to carry grocery itemshand sanitizer bottles are used to store sanitizerfruit basket is used to store and carry fruits .

hope it is helpful to you

A series of end-milling cuts is currently used to produce an aluminum part that is an aircraft component. The purpose of the machining operation is to remove 95% of the part weight to create a structural frame. A total of 4.0 min is lost during the milling cycle due to tool repositioning. The part has a length = 1.6 m, width=0 m, and mm. The operation uses a four-tooth indexable-insert end mill with mm at a cutting speed 600 m/min, chip load 0.15 mm/tooth, and average cross-sectional area of cut-240 mm. High-speed machining has to replace the conventional milling process. The same chip load and average area of cut will be used, but the cutting speed will be increased to 3600 m/min , and the time lost for tool repositioning will be reduced to 2.0 min.
Determine :
(a) The cycle time of the current milling operation and
(b) The cycle time of the proposed HSM operation.
(c) Is this part a good candidate for high-speed machining?

Answers

Answer:

what-

Explanation:

I dont understand

A gas turbine receives a mixture having the following molar analysis: 10% CO2, 19% H2O, 71% N2 at 720 K, 0.35 MPa and a volumetric flow rate of 3.2 m3 /s. The mixture exits the turbine at 380 K, 0.11 MPa. For adiabatic operation with negligible kinetic and potential energy effects, determine the power developed at steady state, in kW.

Answers

Answer:

2074.2 KW

Explanation:

Determine power developed at steady state

First step : Determine mass flow rate  ( m )

m / Mmax = ( AV )₁ P₁ / RT₁   -------------------- ( 1 )

where : ( AV )₁ = 8.2 kg/s,  P₁ = 0.35 * 10^6 N/m^2,   R = 8.314 N.M / kmol ,

 T₁  = 720 K .

insert values into equation 1

m  = 0.1871  kmol/s  ( mix )

Next : calculate power developed at steady state ( using ideal gas tables to get the h values of the gases )

W( power developed at steady state )

W = m [ Yco2 ( h1 - h2 )co2

Attached below is the remaining  part of the detailed solution

The 5-lb cylinder is falling from A with a speed vA = 10 ft/sonto the platform. Determine the maximum displacementof the platform, caused by the collision. The spring has anunstretched length of 1.75 ft and is originally kept incompression by the 1-ft long cables attached to the platform. Neglect the mass of the platform and spring and any energy lost during the collision.

Answers

Answer:  hello some pictorial details related to your question is missing attached below is the missing detail

answer : 0.0735  ft

Explanation:

weight of cylinder = 5 IB

speed  ( v ) = 10 ft/s

Calculate the maximum displacement of platform

Express the initial energy of the system as

potential energy of cylinder + potential energy of spring + Kinetic energy of cylinder

=  mgh + 1/2 ky^2 + 1/2 mv^2

y = initial spring compression = 1.75 - 1 = 0.75

hence the initial energy can be expressed as

= 5 ( 3 + x ) + 1/2 (400)(0.75)^2 + 1/2 ( 5/32.2) (10)^2 ------------ ( 1 )

Next : determine the Final energy of the system

Final energy of the system = potential energy of the system

= 1/2 k ( x + 0.75 )^2  ----- ( 2 )

Equating  equations ( 1 ) and ( 2 )  to determine the value of x

5 ( 3 + x ) + 1/2 (400)(0.75)^2 + 1/2 ( 5/32.2) (10)^2  = 1/2 k ( x + 0.75 )^2

solve for x

x ( max displace of platform )  = 0.0735  ft

Voltage signals are generated on the output of a piezoelectric pressure transducer that is equipped with an amplifier.

a. True
b. False

Answers

Answer: True

Explanation: Piezoelectric pressure transducers are equipments that helps to generate voltage through the mechanical actions such as applied pressure. Piezoelectric transducer is made up of quartz crystals which are made of silicone and oxygen formed in a crystalline structure.

Piezoelectric transducer can also be described as a Piezoelectric sensor as it helps to detect electric voltage generated through applied pressure.

When you see a school bus stop with its stop sign extended or its lights flashing, you must stop, except for cases when:

Answers

Answer:

Whenever you approach a school bus from any direction, which has stopped to pick up or let off passengers while operating its flashing red lights, you must stop your vehicle at least 25 feet from the school bus. The only time you do not have to stop is when you are on the other side of a divided highway. You must stay stopped until the bus has started again or the bus driver stops operating the flashing red lights.

The Boeing 787 Dreamliner is billed to be 20% more fuel efficient than the comparable Boeing 767 and will fly at Mach 0.85. The midsize Boeing 767 has a range of 12,000 km, a fuel capacity of 90,000 L, and flies at Mach 0.80. For Boeing 787, assume the speed of sound is 700 mph and calculate the projected volumetric flow rate of fuel for each of the two Dreamliner engines in m3/s.

Answers

Answer:

the projected volumetric flow rate of fuel for each of the two Dreamliner engines is 0.005 m³/s

Explanation:

Given the data in the question;

First we determine the fuel economy of Boeing 767

Range = 12,000 km

fuel capacity = 90,000 L

so,  fuel economy of Boeing 767 will be

η[tex]_f[/tex] = Range / fuel capacity

η[tex]_f[/tex] = ( 12,000 km / 90000 L ) ( 1000m / 1 km) ( 3.7854 L/gal × 264.2 gal/m² )

η[tex]_f[/tex]  = 133,347.024 m/m³

Now, Boeing 787 is 20% more fuel efficient than Boeing 767

so fuel economy of Boeing 787 will be;

⇒ (1 - 20%) × fuel economy of Boeing 767

⇒ (1 - 0.2) × 133,347.024 m/m³

⇒ 0.8 × 133,347.024 m/m³

⇒ 106,677.6 m/m³

Hence, fuel economy of Boeing 787 dream line engine is

⇒ 106,677.6 m/m³ / 2 = 53,338.8 m/m³

Next, we find the velocity of Boeing 787

[tex]V_{787[/tex] = Mach number of 787 × speed of sound

given that; Mach number is 0.85 and speed of sound is 700 mph

we substitute

[tex]V_{787[/tex] = (0.85 × 700 mph) × ( 1 hr / 3600 s ) × ( 1609 m / 1 mile )

[tex]V_{787[/tex] = 265.9319 m/s

Now, to get the Volume flow rate for each dream liner engine { Boeing 787 };

Volumetric flow rate = velocity of flight / fuel economy

we substitute

= 265.9319 m/s / 53,338.8 m/m³

= 0.0049857 ≈ 0.005 m³/s

Therefore,  the projected volumetric flow rate of fuel for each of the two Dreamliner engines is 0.005 m³/s

The following data represent the time of production (in hours) for two different factories for the same product. Which factory has the best average time of production? Which factory will you select and why?

Factory A

14, 10, 13, 10, 13, 10, 7

Factory B

9, 10, 14, 14, 11, 10, 2

Answers

Factory A 14,10,13,10,13,10,7

4. Which of the following requires an endorsement on your CDL?
A. Air brakes
B. Double/triple trailers
C. Manual transmission
D. All of the above

Answers

All of the above is the answer

The components which requires an endorsement on your Commercial Driver License (CDL) are: D. all of the above.

What is CDL?

CDL is an acronym for Commercial Driver License and it can be defined as a category of driver's license that is issued to an individual, in order to  indicate that he or she is qualified to operate and drive certain types of automobile vehicles or to use them in specific ways.

In the United States of America, the components which requires an endorsement on your Commercial Driver License (CDL) are:

Air brakesDouble/triple trailersManual transmission

Read more on CDL here: https://brainly.com/question/14326814

#SPJ2

*Avoid waiting in long drive-thru lines, for example, at fast-food restaurants or banks. Park your car and go in. *When possible, use public transportation, walk, or ride a bike. *Get regular engine tune ups and car maintenance checks. *Join a carpool or vanpool to get to work or school. *Keep tires properly inflated and aligned. Conservation. The choices in the list above help to regulate important biogeochemical cycles as well as conserve important natural resources. Making these good choices impacts several cycles on Earth.

Required:
Which set of answers - biogeochemical cycle; natural resource; consequence - is not affected by the list above?

Answers

Answer:

When possible, use public transportation, walk, or ride a bike

Explanation:

Answer:

water; water; Oxygen enters the waterways and causes an imbalance of plant life to animal life.

Explanation:

What type of sensor is a crankshaft position sensor?

Answers

Answer: Generally, there are four types of crankshaft magnetic pick-up coils, Hall-effect sensors, magneto-resistive element sensors, and optical sensors.

you’re welcome ! please mark me brainliest and leave a thank you.

This determines whether two different String objects contain the same string.
a. the == operator
b. the = operator
c. the equals method
d. the stringCompare method

Answers

Answer: c. the equals method

Explanation:

There are more than one comparison that could be made about string objects. Hence, depending on the comparison we want to make, we could be in need of the == operator, equal() or the Stringcompare method. For the question posed above, we want to kno of two string objects containa the same string, hence we are concerned about comparing the content of each string. For this purpose, we make use of the equal(). In the case of making comparison about string reference, we use the == method while the StringCompare method comes in handy while making alphabetical or lexicographic comparison.

3. In order to obtain your commercial driver's license (CDL) you must first:
A. obtain a commercial learner's permit (CLP).
B. have all restrictions removed from your personal driver's license.
C. be at least 15-years old.
D. both A and C.

Answers

A and C is the answer to the question. Be 15 years old & get a permit

Answer: is A

Explanation:

first thing first you cannot drive CMV with out a permit and To operate the CMV you need to be an adult

It is desired to produce a continuous and oriented carbon fiber-reinforced epoxy having a modulus of elasticity of at least 83 GPa in the direction of fiber alignment. The modulus of elasticity of the graphite fiber is 260 GPa, and the modulus of elasticity of the epoxy is 2.4 GPa. What is the minimum volume fraction of fibers required to meet this requirement. (this is a Chapter 16 problem) Answer: the minimum fiber volume fraction is:__________

Answers

Answer:

0.3129

Explanation:

Calculate The minimum fiber volume fraction using the relation below

E = x * E1 + ( 1 - x ) E2  ------ ( 1 )

given that :

E = 83 GPa , x = ?

E1 = 260 GPa ,  E2 = 2.4 GPA

Insert values back into equation 1

Then ; 80.6 = 257.6 x

∴ x ( volume fraction ) = 80.6 / 257.6  = 0.3129

A rod of length L is made of a material with thermal conductivity k, initially with a tem- perature distribution along its length (the x-direction) that can be described by a function (x). Find the temperature distribution in the rod T(x,t) at time t>0 if all the surfaces and the two ends of the rod are thermally insulated.

Answers

Answer:

Temperature distribution = ( T( λ , T )  - Ta ) / (T₉ - Ta) =  erf ( λ / 2 √∝T )

Explanation:

Determine the temperature distribution in the Rod T( x,t )

Given data :

Length: L

Thermal conductivity ; K

t > 0

Taking a 2nd order derivative

d^2 T / dx^2 = 1 /∝ * dT/dS  

considering boundary conditions

T( λ , 0 ) = Ti

T ( 0,T ) = Ta given that   t>0

T ( ∝ , 1 ) = T₉ for ₉ >0

Finally the General equation for the temperature distribution in the Rod

= ( T( λ , T )  - Ta ) / (T₉ - Ta) =  erf ( λ / 2 √∝T )

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