An airplane is flying at a standard altitude of 5 km. A pitot tube mounted at the nose measures a stagnation pressure of 0. 957 bar. Assume the airplane is flying at high subsonic speed and flow is compressible.


Required:

Calculate the velocity of airplane

Answers

Answer 1

The velocity of airplane will be 317.4 m/s.

The velocity of an airplane flying at a standard altitude of 5 km can be calculated using the stagnation pressure of the pitot tube mounted at the nose.

The stagnation pressure of the pitot tube was measured at 0.957 bar. Assuming the airplane is flying at high subsonic speed and flow is compressible, the velocity of the airplane can be calculated using the equation:

Velocity (v) = sqrt[2*(pstag-pamb)/ρ]

Where pstag is the stagnation pressure (0.957 bar), pamb is the ambient pressure (0.1013 bar at 5 km altitude), and ρ is the air density (1.225 kg/m3).

Plugging in the given values, the velocity of the airplane is 317.4 m/s.

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Related Questions

An inverter or ac module is required to automatically ________ its output when utility power is lost.

Answers

An inverter or ac module is required to automatically switchover its output when utility power is lost.

What is an inverter?
An inverter is an electrical device that converts direct current (DC) to alternating current (AC). It is a type of power electronic converter that is used to convert low-voltage DC electricity from sources such as batteries or solar panels into a higher voltage AC output. Inverters allow for the use of DC power sources such as batteries to power AC appliances, and are commonly used in recreational vehicles and off-grid energy systems. They are also used in adjustable speed drives, uninterruptible power supplies, and in many consumer electronics applications. Inverters come in a variety of sizes ranging from small microcontrollers that control a single appliance, to large industrial models that are used to power entire buildings.

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Why is it critical for the upper and lower end sections of an engine to work perfectly together

Answers

Answer:

It is critical for the upper and lower end sections of an engine to work perfectly together because they are responsible for converting fuel into motion, which is necessary for the engine to operate effectively.

The upper end section of an engine includes the cylinder head and valves, which are responsible for controlling the flow of fuel and air into the engine. The lower end section of an engine includes the crankshaft, connecting rod, and pistons, which are responsible for converting the fuel's energy into rotational motion.

If the upper and lower end sections of an engine are not working perfectly together, it can lead to a variety of problems, including reduced engine performance, reduced fuel efficiency, and increased emissions. It is therefore critical for the upper and lower end sections to be carefully designed and calibrated to work together seamlessly in order to ensure the optimal performance of the engine.

Can space debris take out a whole state

Answers

Yes depends how big the debris is

What is the name given to the vehicles that warn motorists about oversized loads/vehicles?a) Pilot Carb) Advanced Carc) Trail Card) Leader Car​

Answers

The Pilot Car is the vehicle that alerts drivers to oversized loads. So, the correct answer to the question is a. Pilot car.

What exactly is a Pilot Car?

A pilot car is a vehicle that is used to guide and support convoys of large vehicles or trucks carrying heavy loads. Pilot cars can be sedans, SUVs, vans, or pickup trucks and must be equipped with lights, flags, and a CB radio in order to communicate with the oversized vehicle. ‍

The Pilot Car is also known as the Escort Car. It is a vehicle that alerts other vehicles to the presence of a large vehicle.Pilot vehicle operators' role is to warn road users (drivers) to be cautious of over-sized loads or vehicles.The cars are used to direct motorists who are using construction sites' roads.

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The speed of a vehicle is reduced with a constant acceleration from 72km/h to 18
km/h over 250m directly down an incline of lin25. The mass of the vehicle is 1.9
Mg and it has a constant resistance to motion of 350N.
Calculate the magnitude of the braking Force
Answer:
Check​

Answers

Answer:

The correct answer will be "1477.84 N".

Explanation:

Given that,

Mass,

m = 1.6 mg

or,

   = 1600 kg

Initial velocity,

u = 72 km/h

  = [tex]72\times \frac{5}{18} \ m/s[/tex]

  = [tex]20 \ m/s[/tex]

Final velocity,

v = 18 km/h

  = [tex]18\times \frac{5}{18}[/tex]

  = [tex]5 \ m/s[/tex]

Covered distance,

s = 250 m

By using the below relation, we get

⇒  [tex]v^2=u^2+2as[/tex]

On putting the values, we get

⇒  [tex](5)^2=(20)^2+2\times a\times 250[/tex]

⇒      [tex]a=-0.75 \ m/s^2[/tex] (shows the deceleration)

Slope will be given as 1 in 25, then

⇒  [tex]Sin \theta=\frac{1}{25}[/tex]

           [tex]\theta=2.3^{\circ}[/tex]

hence,

As we know,

⇒  [tex]\Sigma F=ma[/tex]

or,

⇒  [tex]Braking \ force+350-mgSin\theta=ma[/tex]

⇒  [tex]Braking \ force=ma+mgSin\theta-350[/tex]

On substituting all the values, we get

⇒                           [tex]=1600(0.75+1600\times 9.81 Sin(2.3^{\circ})-350[/tex]

⇒                           [tex]=1477.84 \ N[/tex]

What is the 8-digit binary value of the last octet of the IPv4 address 172.17.10.7? O 00000111 O 01100110 O 00001111 O 00000110 Question 10 1 pts A site administrator has been told that a particular network at the site must accommodate 126 hosts. Which subnet mask would be used that contains the required number of host bits? 255.255.255.128 255.255.255.0 O 255.255.255.224 O 255.255.255.240 Question 11 1 pts In which alternative to DHCPv6 does a router dynamically provide IPv6 configuration information to hosts? O SLAAC O ARP O ICMPv6 O EU1-64

Answers

The router will be informed of the appropriate host ID by the last octet, which is the octet of the sub-net mask 255.255.255.0.

In the IPv4 component of the address, one octet is referred to as x and is a decimal value between 0 and 255. Periods are used to separate the octets. Three periods and four octets are required in the IPv4 component of the address. People may have also heard the term "octets" used to describe the four numbers that make up an IP address. The right name for the four distinct digits that make up an IP address is an octet. The third octet of sub-netting is used to specify specific sub nets of network 150.150.0.0. In the example in the image, each sub-net number has a different value in the third byte, signifying that it is a separate sub-net number.

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So i have a Question so if you have somebody in your family and you dont share nothing with that person what do that person feel like so if they dont do nothing how would you feel.

Answers

Answer:

Who care

Explanation:

Lol

Gear B supplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively. If the shaft is made of steel with the allowable shear stress of tau_allow = 75 MPa, and the relative angle of twist between any two gears cannot exceed 0.05 rad. determine the required minimum diameter d of the shaft to the nearest millimeter. The shaft is rotating at 600 rpm.

Answers

Using the formula of shear stress, the minimum required diameter is 0.81mm

What is Shear Stress

Shear stress is a force that causes two objects to slide past each other in opposite directions. It is the force per unit area of the surface on which the force is applied. Shear stress is often caused by two objects rubbing against each other, such as a car tire sliding on the road. It can also be caused by wind, gravity, or other forces.

The shear stress on the shaft can be calculated using the formula:

τ(allow) = P/(2*π*d*J)

where P is the total power transferred by the shaft, d is the diameter of the shaft, and J is the polar moment of inertia.

J = π*d⁴/32

Substituting the given values,

τ(allow) = (15 + 6 + 4 + 5)/(2*π*d*π*d⁴/32)

d = √[32*(15 + 6 + 4 + 5)/(τ(allow)*2*π²)]

d = √[32*(30)/(75*2*π²)]

d = 0.81mm

The minimum required diameter of the shaft is 0.81 mm to the nearest millimeter.

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The motor feeder conductor size for a quantity of (three) 15 hp, 208V, three-phase motors and a quantity of (three) 3 hp, 208V, single-phase and a quantity of (three) 1 hp, 120v, single phase motors will be __________________. Assume all terminations are rated at 75 degrees C and aluminum THHN conductors will be used.

Answers

The motor feeder conductor size for the described system would be 4 AWG aluminum THHN rated for a 75-degree C temperature.

The total horsepower for the three-phase motors is 45 hp and the total horsepower for the single-phase motors is 4 hp. The total horsepower is then 49 hp.

The next step is to calculate the load in amps as follows:

(49 hp x 746 watts)/(208 volts x 1.25 efficiency factor)

= 177 amps.

With 177 amps as the total load, the next step is to select the conductor size using the NEC Table 310.16. A 4 AWG aluminum THHN conductor is rated for a maximum of 195 amps.

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The calculated load for a 3-phase, 240-volt load is 196 amperes. The installation consists of three single insulated conductors in electrical metallic tubing, Type EMT. What size RHW copper conductors are needed

Answers

The size of RHW copper conductors needed for this 3-phase, 240-volt load is 4/10 AWG.

What is copper conductors?

Copper conductors are electrical wires composed of copper that are used to carry electrical currents. They are used in a variety of applications, including power generation and transmission, electronics, telecommunications, and consumer products. Copper is an ideal material for electrical conductors because it is highly conductive, durable, and cost-effective. Copper conductors are available in a range of sizes and shapes and are used in both residential and commercial settings.

This is based on the National Electrical Code (NEC) Table 310.15(B)(16), which states that the minimum size for a 196 ampere load is 4/10 AWG for three insulated conductors in an EMT conduit.

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A flow i decribed by velocity field V=ayibxj where a = 2 (m/) and b = 1 (1/) , coordinate are meaured in meter. A) Obtain the equation for the treamline paing through the point (2,5). B) At t=2 , what are the coordinate of the particle that paed through point (0,4) at t=0. C) At t=3 , what are the coordinate of the particle that paed through point (1,4. 25) 2 econd earlier

Answers

The equation for the streamline passing through point (2,5) is y-5=b/a(x-2).

What is streamline?

Streamlining is a process of simplifying or improving a process or system to increase efficiency, reduce complexity, and reduce costs. It can involve reorganizing, restructuring, rearranging, or redefining a system, procedure, or process to make it more efficient and productive.

B) At t=2, the coordinate of the particle that passed through point (0,4) at t=0 is (6,7). This is because since the velocity field is V = ayibxj, the particle will experience a displacement of 2a in the x-direction and 2b in the y-direction in the span of 2 seconds. Thus, the displacement of the particle is (2a,2b) = (4,2). Adding this to the initial position (0,4), the new position of the particle is (4,6).
C) At t=3, the coordinate of the particle that passed through point (1,4.25) 2 seconds earlier is (7.25,6.25). This is because since the velocity field is V = ayibxj, the particle will experience a displacement of 3a in the x-direction and 3b in the y-direction in the span of 3 seconds. Thus, the displacement of the particle is (3a, 3b) = (6,3). Adding this to the initial position (1,4.25), the new position of the particle is (7,7.25).

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Exactly 5. 00 mL aliquots of a solution containing Phenobarbital were measured into 50. 00ml volumetric flasks and made basic with KOH.

The following volumes of a standard solution of Phenobarbital containing 2. 00 µg/ml of Phenobarbital were then introduced into each flask and the mixture was diluted to volume: 0. 00, 0. 500,1. 000, 1. 50, and 2. 00ml.

The fluorescence of each of these solutions was measured with a fluorometer, which gave volumes of 3. 26, 4. 80, 6. 41, 8. 02, and 9. 56 respectively.


(a) Pot the data.

(b) Using the plot from (a) calculate the concentration of Phenobarbital in the unknown.

(c) Derive a least-squares equation for the data.

(d) Find the concentration of Phenobarbital from the equation in (c)

(e) Calculate a standard deviation for the concentration obtained in (d)

Answers

The data can be plotted as a standard curve. The concentration of Phenobarbital in the unknown can be determined by finding the point on the curve where the fluorescence of the solution intersects the x-axis.

Pot the data

a) The data is plotted in form of a standard curve, which is a graph of the fluorescence of the solutions versus the volume of the standard solution added.

Using the plot from (a) calculate the concentration of Phenobarbital in the unknown.

b) By drawing a line of best fit through the data points, we can find the point where the line intersects the x-axis, the x-intercept, which will give us the concentration of phenobarbital in the unknown.

Derive a least-squares equation for the data.

c) The least-squares equation is a mathematical representation of the line of best fit. It is used to find the relationship between two variables by minimizing the sum of the squared residuals between the data points and the line.

Find the concentration of Phenobarbital from the equation in (c)

d) Using the equation obtained in c), we can calculate the concentration of phenobarbital in the unknown.

Calculate a standard deviation for the concentration obtained in (d)

e) By using the residuals of the line of best fit, we can calculate the standard deviation of the concentration obtained in d). This will give us an idea of how much the concentration of phenobarbital in the unknown deviates from the actual value.

The least-squares equation can be found by fitting a line to the data points. The concentration of Phenobarbital can then be determined using this equation. The standard deviation for the concentration can be calculated using the residuals from the line of best fit.

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A force F having a magnitude of F = 165 N acts along the diagonal of the parallelepiped. Determine the moment of F about point A, using MA =rB x F and MA =rC x F.

Answers

Therefore, (-26.46i-52.92k) Nm is the answer to the presented problem of force.

What is a force, exactly?

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

Which four primary forces are there?

Any of the four fundamental forces in physics—gravitational, electromagnetic, strong, and weak—that control how things or particles interact as well as how some particles decay—is referred to as a fundamental force, also known as a fundamental interaction. These fundamental forces are the source of all known natural forces.

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Tactical ventilation should only be performed when the fire attack hoselines and teams are in place and ready to advance toward the fire. T/F

Answers

It is TRUE that the Tactical ventilation should be performed only when the fire attack hoselines and teams are ready to advance toward the fire.

What is Tactical ventilation?

Through purposeful flow path management, the overarching goal of all forms of tactical ventilation is to improve interior tenability for occupants and firefighters.

Flow path management for control and extinguishment is best accomplished by placing ventilation openings as close to the source fire as possible (e.g., not in a remote location) and working in collaboration with the fire attack team (e.g., vent ahead of rather than behind the attack team).

Firefighters must constantly control their environment with hose stream techniques when using ventilation tactics and interior attack to cool and dilute the highly combustible smoke.

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the branch circuit conductors for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must have an ampacity of ___________ or greater.

Answers

The branch circuit conductors for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must have an ampacity of 30 A or greater.

What is circuit?
A circuit is an interconnection of electronic components that allows electricity, signals or data to flow from one component to another. It can be as simple as a single resistor or as complex as a microprocessor. Circuits are used to provide power to devices, control signals, process data or any combination of these. Circuits can be made from components such as resistors, capacitors, transistors, integrated circuits and microprocessors.

According to the National Electrical Code (NEC), the minimum branch circuit conductor size for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must be sized at 30 A or greater. This is because the NEC requires a branch circuit conductor to have an ampacity at least 125% of the full-load current rating of the motor.

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6. An educational researcher is interested in the relationship between students?
participation in two after school programs and academic achievement. She states
the following hypothesis in the description of her study:
H.1. Children who participate in an after school program that emphasizes critical
thinking skills will score higher on measures of academic achievement and self-esteem
than students who participate in a program that emphasizes rote memorization,
What are the variables in this study?​

Answers

Answer:

Dependent Variable: Academic achievement

Independent Variable: After school programs

increasing capacity just before a bottleneck operation will improve the output of the process.
a. true
b. false

Answers

Answer: true

Explanation: I haves

Part A

Determine the force in member DE of the truss, and state if the member is in tension or compression. Take F1 = 564 N , F2 = 905 N .
(Figure 1)

Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalars for members in compression.

Part B

Determine the forces in members DC and CB of the truss, and state if the members are in tension or compression.

Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalars for members in compression.

Part C

Determine the force in member CE of the truss, and state if the member is in tension or compression.

Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalars for members in compression.

Part D

Determine the force in member EB of the truss, and state if the member is in tension or compression.

Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalars for members in compression.

Part E

Determine the force in member EA of the truss, and state if the member is in tension or compression.

Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalars for members in compression.

Answers

Part A is the answer

12. Which of the following letter doesn't still the same when its viewed
in a mirror?
Α. Ε
B. W
C.S.
D. B

Answers

Answer:

the correct answer is option B. W

Answer:

it is b and w

Explanation:

pls mark as brainlist


The statements below refer to the design and operation of the power sub-system on a spacecraft. Select all those statements that are correct.

Answers

the battery and ODC input voltages, as well as the main parameters for the power source, fireworks, relays, anti-static resistances, etc. The statements below refer to the design and operation of the power sub-system on a spacecraft.

How do spaceship electric power systems work?

Solar panels on these spacecraft convert solar energy into the electricity they require for propulsion. The electricity generated by the solar panels is used to recharge a battery within the spacecraft. These batteries can power the spaceship even as it is traveling away from the sun.

What make up a spacecraft's subsystems?

The engine, temperature management, power and power distribution, attitude control, telemetry command and control, transmitters/antenna, computers/on-board processing/software, and structural components are only a few of the many subsystems that make up a spaceship bus.

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Consider a drug-eluting balloon catheter deployed into a blood vessel. The balloon is inflated to perfectly adhere to the vessel walls. Drug is released from the outer surface of the balloon and diffuses radially through the endothelial tissue only in the r-direction. Let the outside radius of the balloon be r = R_0, where the drug has a constant concentration c_0. The drug diffuses into the tissue as far as r = R, where the concentration of the drug becomes zero.
Assume cylindrical geometry, steady state conditions and no chemical reaction involving the drug. The drug diffusion coefficient in tissue is D.
(a) Find an expression for the profile c(r) inside the tissue (i.e. from R_0 to R).
(b) Determine the diffusive flux at the outer surface of the balloon.

Answers

Answer:

a)  Cr = Co - Fx / D

b)   ΔC / Δx = ( CR - Cr )  / ( xR - xRo )

Explanation:

A) Derive an expression for the profile c(r) inside the tissue

F = DΔC / X  = D ( Co - Cr ) / X   ------ 1

where : F = flux , D = drug diffusion coefficient

            X = radial distance between Ro and R

Hence : Cr = Co - Fx / D

B) Express the diffusive flux at outer surface of the balloon

Diffusive flux at outer surface =  ΔC / Δx = CR - Cr / xR - xRo

A(n) _________ is a set of permissions that is attached to an object.
a. access control list (ACL)
b. Subject Access Entity (SAE)
c. object modifier
d. security entry designator

Answers

The answer is A which is Access Control List (ACL

Determine the required diameter of a steel transmission shaft 10 meters in length and material yield strength 350 MPa in order to resist a torque of up to 500 N.m. The shaft is supported by frictionless bearings at its ends. Design the shaft using the maximum shear stress theory, and selecting a factor of safety of 1.5. Neglect shaft weight.

Answers

Answer:

0.02795 m

Explanation:

Neglecting shaft weight Design the shaft using maximum shear stress theory and determine the required diameter

factor of safety = 1.5

length of shaft = 10 meters

material yield strength = 350 MPa

Torque = 500 N.m

The required shaft diameter = 0.02795 m

attached below is a detailed solution of the problem

A property's roof is twenty years old and has not been replaced. This condition would most likely be considered to be an example of

Answers

A property's roof is twenty years old and has not been replaced. This condition would most likely be considered to be an example of curable physical deterioration.

What is Curable physical deterioration?

Curable deterioration is a type of deterioration that can be cured economically. The economic feasibility of a property is indicated if the increase in value exceeds or is equal to the anticipated cost of repairing the property. The cost of replacing or restoring the item is used as a reasonable measure of curable deterioration.

Estimating the value of items that need to be repaired, such as window replacements, repainting, weatherstripping, roof repair, loose tile fixing, faulty wiring, and heating or cooling system repairs, is part of measuring curable deterioration.

Only include the items listed above if the increase in property value will cover the cost of repairs. For example, if roof repair and loose tile repair are estimated to cost $8,000, a prospective buyer can reduce their offer price by the same amount to cover the cost of doing such repairs.

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Classify the variable as nominal-level, ordinal-level, interval-level, or ratio-level measurement. Number of gallons of water in a swimming pool

Answers

The number of gallons in a swimming pool in the given question can be classified as a ratio level measurement.

What is ratio level measurement?

The highest of the four hierarchical levels of measurement is the ratio level measurement. Data recording accuracy is determined by the levels or scales of measurement. The measurement becomes more difficult as the level increases.

The features of the other 3 levels are all present in the ratio level. At the ratio level, values can take on a true zero, be categorised, ordered, have equal intervals, and more.

While interval and ratio variables are quantitative variables, nominal and ordinal variables fall under the category of categorical variables. Quantitative data allows for a much wider range of statistical tests than categorical data.

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TMI Systems, a company that customizes software for construction cost estimates, repaid a loan obtained 5 years ago at 10% per year simple interest. If the amount that TMI repaid was $140,000, calculate the principal of the loan

Answers

The principal of the loan that TMI Systems repaid was $90,000.

The formula to calculate the principal of a loan is P = L + I, where P is the principal, L is the loan amount, and I is the total interest paid over the duration of the loan.

In this case, we are given that the loan amount was 10% per year simple interest, which can be calculated by multiplying the principal by the interest rate (0.1) and the duration of the loan (5 years). Therefore, the total interest paid over the duration of the loan is P x 0.1 x 5 = $50,000.

We are also given the total amount repaid, which is the sum of the principal and the total interest paid. Therefore, we can calculate the principal by subtracting the total interest paid from the total amount repaid.

This gives us $140,000 - $50,000 = $90,000. As the principal must be a positive value, the principal of the loan is $90,000.

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What does the following UML diagram entry mean? + setHeight(h : double) : void Select one: a. public void method with a parameter of data type double b. private method with no parameters that returns a double data type c. private field called setHeight that is a double data type d. Error - UML diagrams do not contain any symbols e. private data field called setHeight that is a double data type

Answers

The procedure is as follows in C++: double base calcPyramidVolume. Length, two bases. Double pyramid, width, Height.

The parameter variable for the following function prototype has a data type of double. Using the C double data type, high-precision floating-point data or integers are saved (up to 15 to 17 digits). There are large decimal number values recorded. In comparison to float data, values data may store twice as much information. As a result, it is referred to as a double data type. The double data type of the C programming language is used to store high-precision floating-point data or integers in computer memory. The double data type is so named because it can hold data that is twice as large as the float data type. Eight bytes, or 64 bits, make up a double.

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How are laws and regulations different from one another? A, Laws are long-standing, while regulations can be modified quickly Laws are long-standing, while regulations can be modified quickly B, Laws can be modified quickly, while regulations are long-standing Laws can be modified quickly, while regulations are long-standing C, Laws are governed by the federal government while regulations are governed by the state government Laws are governed by the federal government while regulations are governed by the state government D, Violators of laws are taken to criminal court while violators of regulations are taken to civil court. Violators of laws are taken to criminal court while violators of regulations are taken to civil court.

Answers

Answer:

Terms in this set (18)

Original

Which agency is responsible for managing Florida's hunting laws and regulations?

*The Fish & Wildlife Conservation Commission

*The US Fish & Wildlife Service

*The International Hunter Education Association

*The National Rifle Association

The Fish & Wildlife Conservation Commission

How are laws and regulations different from one another?

*Laws are long-standing, while regulations can be modified quickly

*Laws can be modified quickly, while regulations are long-standing

*Laws are governed by the federal government while regulations are governed by the state government

*Violators of laws are taken to criminal court while violators of regulations are taken to civil court.

Laws are long-standing, while regulations can be modified quickly

Why were hunting laws and regulations initially enacted?

*To help market hunters get enough game to survive

*To protect wildlife from over hunting and market hunting

*To help hunters get a fair price for food from wild game

*To protect wildlife from fair chase and conservation efforts

To protect wildlife from over hunting and market huntingExplanation:

Thereare 18 terms and the answer is
TERMS 18

A portable x-ray unit has a transformer, the 120V input of which is transformed to the 100kV output needed by the x-ray tube. The primary has 50 loops and draws a current of 10A when in use. What is ratio of the number of loops in the secondary to the number of loops in the primary

Answers

Answer:

2500 : 3

Explanation:

To solve this, let's build some relationships among the power, voltage, current and number of loops in an ideal transformer.

For an ideal transformer, the powers generated by the primary and secondary coils are the same. In other words, the input power and output power remain the same.

Input power = Output power

Where;

Input power = [tex]V_{p}[/tex] x [tex]I_p[/tex]

Output power = [tex]V_{s}[/tex] x [tex]I_s[/tex]

=> [tex]V_{p}[/tex] x [tex]I_p[/tex] = [tex]V_{s}[/tex] x [tex]I_s[/tex]

This can be re-written as:

[tex]\frac{V_p}{V_s}[/tex] = [tex]\frac{I_s}{I_p}[/tex]             ------------------(i)

Also, the transformer turns ratio (r) is the quotient of the number of turns/loops in the primary coil and the number of turns/loops in the secondary coil. i.e

r = [tex]\frac{N_p}{N_s}[/tex]

This ratio is equal to the ratio given in equation (i) i.e

r = [tex]\frac{N_p}{N_s}[/tex] = [tex]\frac{V_p}{V_s}[/tex] = [tex]\frac{I_s}{I_p}[/tex]

=> r = [tex]\frac{N_p}{N_s}[/tex] = [tex]\frac{V_p}{V_s}[/tex]

=> [tex]\frac{N_p}{N_s}[/tex] = [tex]\frac{V_p}{V_s}[/tex]

This can be re-written as

=> [tex]\frac{N_s}{N_p}[/tex] = [tex]\frac{V_s}{V_p}[/tex]       -----------(ii)

From the question,

[tex]V_{p}[/tex] = 120V

[tex]V_{s}[/tex] = 100kV = 100000V

Substitute these values into equation (ii) as follows;

[tex]\frac{N_s}{N_p}[/tex] = [tex]\frac{100000}{120}[/tex]

[tex]\frac{N_s}{N_p}[/tex] =  [tex]\frac{10000}{12}[/tex]

[tex]\frac{N_s}{N_p}[/tex] =  [tex]\frac{2500}{3}[/tex]

Therefore, the ratio of the number of loops in the secondary to the number of loops in the primary is 2500 : 3

A flexible pavement is constructed with 5 inches of sand-mix asphaltic wearing surface, 9 inches of dense-graded crushed stone base, and 10 inches of crushed stone subbase. The base has a drainage coefficient of 0.90 while the subbase drainage coefficient is 1.0. Determine the structural number of the pavement.

Answers

The structural number of the pavement, constructed with 5 inches of the sand-mix asphaltic wearing surface is 14.5.

The structural number is an estimate of the number of inches of asphaltic wearing surface that a pavement can support without exceeding the allowable structural layer strain. It is calculated by multiplying each layer's drainage coefficient by its thickness and then adding the products together.

T In this case, the 5-inch wearing surface has a drainage coefficient of 0.90, the 9-inch base has a coefficient of 1.0, and the 10-inch subbase has a coefficient of 1.0.

The structural number can be calculated by using the following formula:

SN = (5 x 0.90) + (9 x 1.0) + (10 x 1.0) = 14.5. Therefore, the structural number of the pavement is 14.5.

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