Determine the transfer function of an RL series circuit where: R = 10 22 and L= 10 mH. As input, take the total voltage over the coil and the resistance, and as output the voltage across the resistance. Write this a in the simplified form H(s) = - s+a Calculate the pole of this function. Enter the transfer function using the exponents of the polynomial and the pole command. Check whether the result is the same. Pole position - calculated: Calculate the time constant for the circuit. Plot the unit step response and check the value of the time constant. Time constant - calculated: Time constant - derived from step response: Calculate the end value (e.g. remember the final value theorem) of the output voltage and compare the calculated value with that from the plot of the step response. End value calculated: End value - derived from step response:

Answers

Answer 1

The objective of the given paragraph is to determine the transfer function, pole, time constant, and end value of an RL series circuit and emphasize the importance of cross-verification.

What is the objective of the given paragraph?

The given paragraph discusses the determination of the transfer function of an RL series circuit. The circuit parameters are provided, with resistance (R) equal to 10 ohms and inductance (L) equal to 10 millihenries. The objective is to find the transfer function in the simplified form of H(s) = -s + a, where 'a' is a constant.

The paragraph further instructs to calculate the pole of this transfer function using the exponents of the polynomial and the pole command. It emphasizes the importance of checking whether the calculated pole matches the obtained transfer function.

Additionally, the time constant for the RL circuit needs to be calculated. The paragraph suggests plotting the unit step response and examining the value of the time constant from the graph.

Lastly, the paragraph mentions the calculation of the end value of the output voltage using methods such as the final value theorem, and comparing the calculated value with the value obtained from the plot of the step response.

Overall, the paragraph outlines the steps involved in determining the transfer function, pole, time constant, and end value of an RL series circuit and emphasizes the importance of cross-verification.

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Related Questions

Water is the working fluid in a Rankine cycle with reheat. The turbine and the pump have isentropic efficencies of 80%. Superheated vapor enters the turbine at 10 MPa, 480 °C, and the condenser pressure is 6 kPa. Steam expands through the first-stage turbine to 0.7 MPa and then is reheated to 480°C. Determine for the cycle
(a) the rate of heat addition, in kJ per kg of steam entering the first-stage turbine.
(b) the thermal efficiency.
(c) the rate of heat transfer from the working fluid passing through the condenser to the cooling water, in kJ per kg of steam entering the first-stage turbine.

Answers

Answer:

A)  3783.952 kJ/kg

B)  34.5%

C)  2476.67 kJ/kg

Explanation:

A) Determine the rate of heat addition entering the first-stage turbine

Qin ( 1st stage ) =  ( h1 - h6 ) + ( h3 - h2 )

                         = ( 3321.4 - 164.07 ) + ( 3438.566 - 2811.944 )

                         = 3783.952 kJ/kg

h values are gotten from super heated table

B) Determine the thermal efficiency

n = 34.5%

attached below

C) Rate of heat transfer from working fluid passing through the condenser to the cooling water

Qout = h4 - h5

         = 2628.2 - 151.53

         = 2476.67 kJ/kg

Water is the working fluid in a Rankine cycle with reheat. The turbine and the pump have isentropic efficencies

A ___________ is defined as a change in shape of the part between the damaged and undamaged area hat is smooth and continuous . When the part is straightened, it is returned to proper shape and state without any areas of permanent deformation.

Answers

A bend is defined as a change in the shape of the part between the damaged and undamaged area that is smooth and continuous.

What is a kink?

A kink can be defined as a sharp bend with a small radius over a short distance.

So when any part is kinked it must be replaced without any doubt. A part is kinked if it just doesn't work on the repair.

What is a bend?

Unlike a kink, a bend can be restored. That is after a bend also  a part can be bought back to its original position.

When the part is straightened, it is returned to proper shape and state without any areas of permanent deformation.

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The roller coaster car having a mass m is released from rest at point A Neglect friction (Figure 1) Part A
It the track is to be designer so that car does not leave it at B determine the required height h Express your answer to three Significant figures and Include the appropriate units. Part B
Find the speed of the car when it roaches point C. Express your answer to three significant figures and include the appropriate units.

Answers

The car's speed as it approaches the spot Part B's v = 14.3 m/s and Part A's h = 8.94 metres.

What is speed?

The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time, making it a scalar quantity. The instantaneous speed is the upper limit of the average speed as the duration of the time interval approaches zero. The average speed of an item in a period of time is the distance travelled by the object divided by the duration of the period. Velocity and speed are not the same thing.

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if the aircraft's transponder fails during flight within class b airspace,

Answers

If the aircraft's transponder fails during flight within Class B airspace, the pilot should immediately notify air traffic control (ATC) using the appropriate radio frequency, follow any instructions given by ATC, and adhere to established procedures for aircraft without a functioning transponder.

What should a pilot do if the transponder on their aircraft malfunctions while flying within Class B airspace?

In the event of a transponder failure while in Class B airspace, it is crucial for the pilot to take immediate action. The first step is to promptly notify air traffic control (ATC) of the situation using the designated radio frequency. This communication ensures that ATC is aware of the transponder failure and can provide necessary guidance and instructions. The pilot should then comply with any directives given by ATC, which may include specific altitude or heading instructions.

Additionally, the pilot must adhere to established procedures for aircraft operating without a functioning transponder within Class B airspace. These procedures typically involve maintaining vigilance, flying predictable patterns, and using visual signals as necessary to communicate with other aircraft.

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The solute hcl is diffusing through a thin film of water 2 mm thick at 283k. The conc. Of hcl at point 1 is 12wt%hcl (density is 1060kg/m3) and at point 2 is 6 wt%( density= 1030). The diffusivity is 2.45*10^-9 m2/sec.Calculate flux of hcl.

Answers

2.372 x 10 = 23.72 kgmol/sm

Never operate electric tools outdoors or in wet conditions unless circuit is protected by what?.

Answers

Never operate electric tools outdoors or in wet conditions unless the circuit is protected by a ground fault circuit interrupter (GFCI).

What is a circuit?

When a number of electric entities are connected through various conductors is called a circuit.

Here,
A ground fault circuit interrupter (GFCI) helps to avoid the repercussion caused due to electric shocks. An individual receives a shock, the GFCI perceives this and cuts off the current before the individual can get any damage. it is usually installed where electrical circuits come into reference with water.

Thus, Never operate electric tools outdoors or in wet conditions unless the circuit is protected by a ground fault circuit interrupter (GFCI).

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A salvage part is considered aftermarket? true or false

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True
Please give Brainliest.

8. What are two ways SpaceX plans to change personal travel?

Answers

Answer:

as all the people should go near stratosphere

where is the most accurate reading in analogue multimeter is taken

Answers

Answer:

The most accurate reading for an analog meter is a pointer position between 2/3 of full scale and full scale. Typically, dc voltage measurements use the full count capability of the ADC, since signal conditioning is rather straight forward: it uses resistive dividers and filters.

Which of the following is true about customer relationship management (CRM)?

A. It eliminates the need to depend on information produced through primary research.

B. Its aim is to directly maximize profit margins.

C. Its aim is to establish cause-effect relationships between marketing strategies and consumption trends.

D. Its aim is to maximize customer loyalty.

Answers

The statement that is true about customer relationship management (CRM) is "Its aim is to maximize customer loyalty."

Option D is the correct option.

CRM stands for customer relationship management.

It is an approach used by organizations to manage their interactions with current and potential customers.

The main aim of CRM is to maximize customer loyalty.

CRM system uses a wide variety of data and tools to automate, manage and synchronize customer service, sales, marketing, and technical support.

It enables an organization to build strong customer relationships and streamline processes by integrating and automating various functions related to customer service, marketing, and sales.

This allows an organization to better understand customer preferences and behaviors, which can be used to improve customer satisfaction and retention.

CRM provides a unified view of customers and automates sales processes, thereby improving productivity and efficiency. It also helps an organization to provide better customer service by giving customers access to their account information and providing personalized support.

CRM data can be used to generate insights into customer behavior and preferences, which can be used to inform marketing strategies.

This can help organizations to target their marketing efforts more effectively and improve the return on investment (ROI) of their marketing campaigns.

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"The right to live in a home and use the property as long as a person live" is an example of what kind of freehold estate? please explain why?

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The right to live in a home and use the property as long as a person lives is an example of a life estate. A life estate is a type of freehold estate where an individual has the right to use and live on a property for the duration of their life or the life of another individual.

What is a freehold estate?

A freehold estate is an estate in land that is owned for an indefinite duration. In other words, it is an estate in land that is held for an unlimited period of time. It is an estate in land that gives an individual absolute ownership over the property, subject to governmental restrictions, such as zoning regulations, or the like.

What is a life estate?

A life estate is a freehold estate in which an individual has the right to use and live on a property for the duration of their life or the life of another individual. Once the individual passes away, the property reverts back to the original owner or to another individual who has the right to take possession of it. The individual who holds the life estate is known as the "life tenant" and has the right to use and enjoy the property as if they own it.

The life tenant has the right to lease the property, collect rent from tenants, and even sell the property during their lifetime. However, they cannot sell the property to another individual and give them ownership beyond their lifetime. Once the life estate has ended, the property reverts back to the original owner or to another individual who has the right to take possession of it.

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a vulnerability is a weakness in the boundary that protects the assets from the threat agents.

Answers

That is correct! A vulnerability can be defined as a weakness in the security measures that protect assets from potential threats or attacks.

These weaknesses can be found in software, hardware, processes, personnel, or any other aspect of an organization's security infrastructure. It is important to identify and address vulnerabilities promptly to prevent them from being exploited by attackers.

Vulnerabilities can take many forms, including coding errors, misconfigurations, weak passwords, unpatched software, and social engineering tactics. They can be introduced at any point in the development or deployment of a system, and they can persist for long periods of time if not detected and remediated.

The consequences of exploiting a vulnerability can be severe, ranging from theft or destruction of data to interruption of critical business operations or even physical harm to individuals. That's why it's important to identify, prioritize, and mitigate vulnerabilities through proactive security measures such as risk assessments, penetration testing, security audits, and employee training.

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Question Is in the image provided

Question Is in the image provided

Answers

The two ways through which a computer model is likely to be used by an engineer in order to help refine a design are as follows:

Calculating the possible costs of building a design.Running simulations to test a problem with the design.

Thus, the correct options for this question are A and D.

What do you mean by Computer model?

A Computer model may be defined as a type of computer program that significantly runs on a computer that typically develops a model, or simulation, of a real-world feature, phenomenon, or any other event.

According to the context of this question, an engineer would try to perform the ways in order to support the refining of the design through the help of calculating the possible costs of building a design and the run simulations to test a problem with the design.

Therefore, the correct options for this question are A and D.

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A specimen of 100 mm length along the stroke of a shaper is machined with 15° rake angle tool. Determine the shear plane angle and chip thickness if uncut chip thickness is 1.5 mm and chip length obtained is 40 mm.

Answers

The shear plane angle is approximately -88.43°, and the chip thickness is approximately 8.69 mm.

To determine the shear plane angle and chip thickness in a machining process, we need to consider the rake angle, uncut chip thickness, and chip length obtained.

Given:

Length of the specimen (L): 100 mm

Rake angle (α): 15°

Uncut chip thickness (t₀): 1.5 mm

Chip length obtained (l): 40 mm

The shear plane angle (φ) can be determined using the formula:

tan(φ) = (l - L) / (2 * t₀)

Substituting the given values:

tan(φ) = (40 - 100) / (2 * 1.5)

tan(φ) = -60 / 3

tan(φ) = -20

Now, we can determine the shear plane angle (φ) using the arctan function:

φ = arctan(-20)

φ ≈ -88.43°

Note: The negative value indicates that the shear plane is inclined in the opposite direction to the cutting direction.

The chip thickness (t) can be calculated using the formula:

t = t₀ / cos(φ - α)

Substituting the given values:

t = 1.5 / cos(-88.43° - 15°)

t = 1.5 / cos(-103.43°)

t ≈ 1.5 / 0.1726

t ≈ 8.69 mm

Therefore, the shear plane angle is approximately -88.43°, and the chip thickness is approximately 8.69 mm.

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which of the following is a function of a safety device

Answers

Answer:

what are the options available?

Can you list the comments in the comment section so I can answer your question?

If the farmer has 162 feet of fencing, what is the largest area the farmer can enclose?.

Answers

If the farmer has 162 feet of fencing, the largest area the farmer can enclose is 12,096 square feet.

What is fencing?

Fencing is a grouping of three combat sports. Modern fencing has three disciplines: foil, épée, and sabre. Points are scored when the weapon makes contact with an opponent. A fourth discipline, singlestick, debuted in the 1904 Olympics but was dropped later and is no longer practised in modern fencing. Fencing was one of the earliest Olympic sports to be played. The modern sport evolved towards the end of the nineteenth century, based on ancient swordsmanship skills, with the Italian school having changed the historical European martial art of classical fencing, and the French school afterwards perfecting the Italian method.

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what is a computer device

Answers

electronic equipment

What does the range switch prevent

Answers

It prevents you from attempting to stsrt your engine while it’s running unless the transmission is in the “neutral” or “park” position.

how can the pilot determine, for an ils runway equipped with malsr, that there may be a penetration of the obstacle identification surfaces (ois), and care should be taken in the visual segment to avoid any obstacles? a. the approach chart has a visual descent point (vdp) published. b. the runway has a visual approach slope indicator (vasi). c. the published visibility for the ils is no lower than 3/4 sm.

Answers

To determine an ILS runway for the given approach the published visibility for the ils is no lower than 3/4 sm.

What should be the pilot aware of the obstacles?

The pilot should be aware that the obstacle identification surfaces (OIS) may be penetrated if the minimum published visibility for an ILS runway equipped with MALSR is no lower than 3/4 SM, and caution should be exercised in the visual segment to avoid any obstacles.

Visibility for an ILS Runway:

With a CAT I ILS approach supported by a 1,400–3,000-foot–long (430–910 m) ALS, visibility minimums of 12 mile (0.80 km) (runway visual range of 2,400 feet (730 m)) are possible. If the runway has high-intensity edge lights, visibility minimums of 38 miles (600 m) and 1,800–foot (550 m) visual range are also possible.

Hence published visibility for the ils is no lower than 3/4 sm

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In a compression test, a steel test specimen (modulus of elasticity 30 106 lb/in2 ) has a starting height 2.0 in and diameter 1.5 in. The metal yields (0.2% offset) at a load 140,000 lb. At a load of 260,000 lb, the height has been reduced to 1.6 in. Determine (a) yield strength and (b) fl ow curve parameters (strength coeffi cient and strain-hardening exponent). Assume that the cross-sectional area increases uniformly during the test.

Answers

Answer:

A) σ_y = 79096 lb/in² = 79.1 ksi

B) strain-hardening exponent = 0.102

(strength coefficient = 137838.78 lb/in²

Explanation:

A) Formula for volume is;

V = πd²h/4

We are given;

height 2.0 in and diameter 1.5 in

Thus;

V = (π × 1.5² × 2)/4

V = 3.53 in³

Area is;

A = πd²/4

A = (π × 1.5²)/4

A = 1.77 in²

Yield strength is gotten from the formula;

σ_y = Force/Area

We are given load = 140,000 lb

Thus;

σ_y = 140000/1.77

σ_y = 79096 lb/in²

B) We are given

modulus of elasticity: E = 30 × 10^(6) lb/in²

Formula for strain is;

ε = σ_y/E

ε = 79096/(30 × 10^(6))

ε = 0.00264

The metal yields (0.2% offset), thus;

strain offsets = 0.00264 + 0.002

strain offsets: ε1 = 0.00464

Thus;

(h_i - h_o)/h_o = 0.00464

(h_i/h_o) - 1 = 0.00464

(h_i/h_o) = 1.00464

h_i = h_o(1.00464)

h_o = 2 in

Thus; h_i = 2(1.00464) = 2.00928 in

Area = Volume/height = 3.53/2.00928 = 1.757 in²

True stress is;

σ = force/area = 140000/1.757

σ1 = 79681.27 lb/in²

At a load of 260,000 lb, the height has been reduced to 1.6 in. Thus;

Area = 3.53/1.6 = 2.206 in²

True stress is;

σ2 = 260000/2.206

σ2 = 117860.38 lb/in²

True strain;

ε2 = In(2/1.6)

ε2 = 0.223

From flow curve;

σ = kεⁿ

Thus;

σ1 = k(ε1)ⁿ

79681.27 = k(0.00464ⁿ) - - - (eq 1)

Also for σ2 = k(ε2)ⁿ;

117860.38 = k(0.223ⁿ) - - - - - (eq 2)

From eq 1,

k = 79681.27/0.00464ⁿ

Putting this for k in eq2 to get;

117860.38 = (0.223ⁿ) × 79681.27/0.00464ⁿ

117860.38/79681.27 = 0.223ⁿ/0.00464ⁿ

Solving for n, we have ≈ 0.102

Thus,K is;

k = 79681.27/0.00464^(0.102)

k = 137838.78 lb/in²

Turning operations that require heavy material removal typically use what setting on the
engine lathe?

Answers

Engine latte a mussi coffee chro man ok enign

Kevin fixes trucks as a job. The engine is oily. Which set set of equipment should Kevin use to fix the truck?

Answers

Answer:

A hammer and a wrench

Explanation:

A silicon pn junction at T=300K is reverse biased at VR=8V. The doping concentrations are Na= 5 x 1016 cm 3 and Na= 5 x 1015 cm. Determine Xn, Xp, Wand Emax|

Answers

The depletion widths Xn and Xp are 1.04 μm and 0.104 μm respectively, the electric field Emax is 3.15 x 105 V/cm.

The first step in determining Xn, Xp, Wand Emax is to use the equation for depletion width, which is Wd=sqrt((2*εs*VR)/(q*(1/Na+1/Nd))).

Plugging in the given values, we get Wd=0.625μm.

The next step is to use the equation for the electric field, which is E=q*(Nd-Na)/εs.

Plugging in the given values, we get E=3.125×10^5 V/m.

To determine Xn and Xp, we use the equations Xn^2=Wd^2/2+2εs/kT*(Na*(Wd/2+Xn)-ni^2/Na) and Xp^2=Wd^2/2+2εs/kT*(Nd*(Wd/2+Xp)-ni^2/Nd), where ni is the intrinsic carrier concentration.

Plugging in the given values, we get Xn=0.050μm and Xp=0.224μm.

Finally, to determine Emax, we use the equation Emax=E/2.

Plugging in the previously calculated value of E, we get Emax=1.563×10^5 V/m.

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A Piper Cub airplane has a gross weight of 1700 lb, a cruising speed of 114 mph, and a wing area of 178 ft^2. Determine the lift coefficient of this airplane for these conditions.

Answers

Solution :

As the plane is flying in the air, the force of weight is pulling the plane down. This force must be equal to the force of lift which is generated from the plane's translation true the air. Therefore, the next condition must be satisfied.

\($F_W= L $\)  ................. (i)

The lift force of the plane is given by :

\($L=C_V \frac{\rho}{2} V^2 A$\)

Since the weight force of the plane is given, from the condition (i), we also know the intensity of the lift force.

Therefore, we transform the lift force expression to derive the lift coefficient formula:

\($C_L=\frac{2L}{\rho V^2 A}$\)

\($C_L=\frac{2 \times 1700}{2.38 \times 10^{-3 }\times (167.2)^2 \times 178} $\)

\($C_L = 0.287$\)

How many radians are in a complete circle of 360 degrees?

Answers

Answer:

2 radians

Explanation:

The size of a radian is determined by the requirement that there are 2 radians in a circle. Thus 2 radians equals 360 degrees. This means that 1 radian = 180/ degrees, and 1 degree = /180 radians.

Final answer:

A complete circle in angular measurement is divided into 2*pi radians, which is equal to 360 degrees.

Explanation:

A complete circle measures 360 degrees in the English system of measurement. However, when it comes to angular measurement in mathematics, a complete circle is divided into 2*pi radians. Since the circumference of a circle is given by the formula C = 2*pi*r, where r is the radius, the circumference is equal to 360 degrees. Therefore, 2*pi radians is equivalent to 360 degrees.

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Pls list up to five key lessons and knowledge areas that you have acquired in this course about operations management. How do you believe they help you in your future professional career?

Try to describe your response in brief detail.

Answers

Explanation:

Production planning: Planning is ideal so that there are the right resources, at the right time and in the right quantity that can meet the production needs of a period.

Strategies: The strategic development of production is the area that will assist in organizational competitiveness and in meeting consumer demand and needs.

Product and service design: Development of new products and services and their improvement, innovations and greater benefits

Production systems: Study of physical arrangements so that production takes place effectively according to the ideal layout for each type of product or service.

Production capacity planning: Analysis of the short, medium and long term related to production, and identification if necessary to obtain more resources, increase in staff, machinery, etc., to meet present and future demands.

Each area of ​​knowledge acquired will assist in the development of a professional career, as technical knowledge is essential in decision-making, provision, problem solving, the development of new ideas and innovation.

The IRT has a vital responsibility in gathering forensic evidence, which is defined as collecting and preserving the information that can be used to reconstruct events.

a. True
b. False

Answers

The answer would be true

Air at 1 atm, 15°C, and 60 percent relative humidity is first heated to 20 °C in a heating section and then humidified by introducing water vapor. The air leaves the humidifying section at 25°C and 65 percent relative humidity. Determine:

a. the amount of steam added to the air.
b. the amount of heal transfer to the air in the heating section.

Answers

Answer: a = change in w =0.00656

b = q = 5.1kj/kg

Explanation:

Find explanation in the attached file

Air at 1 atm, 15C, and 60 percent relative humidity is first heated to 20 C in a heating section and

The amount of steam added to the air  a = change in w =0.00656 b = q = 5.1kj/kg

What is steam?

The digital game retail and distribution service Steam is provided by Valve. In order to allow Valve to automatically update its games, it was first released as a software client in September 2003. In late 2005, it was expanded to include the distribution and sale of games from other publishers.

a) We can use the absolute humidity we and wg to determine the amount

of moisture added Aw.

Aww3-W2

Aw= 0.01291 -0.00635

Aw= 0.00656

b) To determine the heat transfer q we will need the enthalpies h and h2.

kJ

kg 9 = 36.2

kJ  kg

31.1

q=5.1

kJ

kg

RESULT

Do = 0.00656

kJ

kg

9 = 5.1

Therefore, The amount of steam added to the air  a = change in w =0.00656 b = q = 5.1kj/kg

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In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression,x = 6.00 cos (5 t + ?7 )where x is in centimeters and t is in seconds.(a) At t = 0, find the position of the piston.(b) At t = 0, find velocity of the piston.(c) At t = 0, find acceleration of the piston.(d) Find the period and amplitude of the motion.

Answers

It is a kind of periodic motion bounded between two extreme points. For example, Oscillation of Simple Pendulum, Spring-Mass System. The object will keep on moving between two extreme points about a fixed point is called the mean position (or) equilibrium position along any path.

(a) The equation for the piston's position is given as x=(5.00 cm)cos(2t+ 6π )

At t=0,

 x=(5.00 cm)cos( 6π )= 4.33 cm

(b) Differentiating the equation for position with respect to time gives us the piston's velocity:

  v= dt/dx =−(10.0 cm/s)sin(2t+ 6π )

At t=0,v= −5.00 cm/s

(c) Differentiating again gives its acceleration:

 a= dv/ dt =−(20.0 cm/s 2 )cos(2t+ 6π )

At t=0,a= −17.3 cm/s 2

(d) The period of motion is

T= ω/2π − 22π = 3.14 s

(e) We read the amplitude directly from the equation for x:

                       A= 5.00 cm

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What type of drill bit can produce a blind hole with a flat bottom

Answers

Answer:

end mill 4 flute

Explanation:

you can simply hook it up

Other Questions
Plz answer i need it.Physics wave. ____ 1. Many Texans had to rebuild their homes after a. prairie fires in 1839. b. they had been destroyed by military action during the Runaway Scrape. c. the floods of 1838. d. they were seized by the government for unpaid debts. ____ 2. Many immigrants came to Texas in the 1840s, encouraged by a. Mexico, who wanted to reduce the American influence there. b. the opportunity to get jobs in the major cities. c. the opportunity to go to war with Mexico. d. the prospect of better economic opportunities. ____ 3. Many settlers from the Lower South of the United States settled a. in East Texas and along the coast. b. on the Red River in the north. c. in the Rio Grande valley, where cotton would grow well. d. in the Hill Country, near Johnson City. ____ 4. Many Tejanos were forced to flee their homes after attacks by a. the Texas army. b. Cherokees, who wanted their land back. c. adventurers, or new immigrants from the United States. d. small detachments of the Mexican army, who crossed the border at night. ____ 5. Many of those who founded new towns in Texas were a. ranchers, who wanted stores and services nearby. b. speculators in land, who hoped to become wealthy. c. Tejanos, who wanted to build Spanish-speaking communities. d. illegal immigrants from the United States. tnh cc m men qun tnh chnh trung tm ca tit din, cho bit a = 10cm which product is greater than 3/4 a.1/2 x 3/4b.5/6 x 3/4c.3/2 x 3/4d.2/5 x 3/4 3. Identify Main Ideas Who were the Medici?What role did they play in the development ofthe Renaissance? PLEASE HELP I WILL GIVE YOU BRAINLIEST!!!! Several factors were given to explain the reasons for the Industrial Revolution. Historians point to four key factors that make an industrial revolution possible in any nation. Research each of the following factors and explain why each is important to the development of industry within a nation or region of the world. Number your answers for each of these.1. natural resources2. capital resources3. human resources4. entrepreneurshipyou don't have to do the natural resources one According to the Officers of the Virginia Company, which was one method used to gain victory? *4 pointsDestroyed the Indians cropsPoison the riversEat all the fishDestroy the Indians boatsPlease help! thanks!! Use the distributive property and the greatest common factor (GCF) to write an equivalent expression: 32x + 24 Question 2 options: 9(4x + 2) 5(6x + 5) 4(8x + 7) 8(4x + 3) Suppose that $1600 is invested at an interest rate of 2.5% per year, compounded continuously. After how many years will the initial investment be doubled? Do not round any intermediate computations, and round your answer to the nearest hundredth. Connie wants to increase her intake of omega-3 fatty acids in an effort to prevent heart disease, hypertension and cancer. Which of the following would you recommend to Connie?Group of answer choicesA. increase her consumption of vegetable oilsB. take omega-3 supplementsC. eat at least 2 servings of fatty fish each weekD. eat more fruits The heat of combustion of liquid toluene (C7H8) is -3910.3 kJ/mol at 1 atm and 298 K.a) What is the energy of combustion at 1 atm and 298 K?The heat of combustion of liquid toluene (C7H8) isEcomb = kJ/molb) What is the heat of formation of toluene?The heat of combustion of liquid toluene (C7H8) isHf = kJ/mol write the equation in slope intercept form (2, -5) and (4, 1) Why did the Americans want a government that gave most of the nower to the states and little power to the central government? The probability of arrest and officer use of force increases when a suspect isA. wanted by law enforcement.B. socially rejected by law enforcement.C. disrespectful toward the police.D. offends others in the presence of the police. please answer this anyone. a group of 350 people includes 187 play the flute, 172 play the clarinet, and 47 both the flute and the clarinet. a person is selected at random. 1. what is the probability that he/she plays the clarinet but not the flute? a. 0.4213 b. 0.3571 c. 0.7812 d. 0.4587 e. 0.2743 2. what is the probability that he/she plays exactly one of these types of instruments? Please help!!!!!!!!!!!!!!! The diagram shows a series of volcanic islands and a hot spot. Determine the direction of movement of the tectonic plate that helped form the islands If wages and other costs fully adjust to changes in prices in the long run, the long-run aggregate supply curve is O A. positively sloped. B. negatively sloped C. horizontal D. vertical. 9. HRELPEPFEKOJENJCNJCEJBCEBHFEH E