Consider the sinusoidal voltage v(t)=30cos(400πt+60∘)V. Part A What is the maximum amplitude of the voltage?
Part B What is the frequency in hertz?
Part C What is the frequency in radians per second?
Part D What is the phase angle in radians?
Part E What is the phase angle in degrees?
Part F What is the period?

Answers

Answer 1

The following parts describe the idea about sine functions is derived:

Part A: The maximum amplitude of the voltage is 30 V.
Part B: The frequency in hertz is given by f = ω/2π, where ω is the angular frequency. From the given expression, we see that ω = 400π rad/s. Therefore, f = (400π)/(2π) = 200 Hz.
Part C: The frequency in radians per second is simply ω = 400π rad/s.
Part D: The phase angle in radians is 60π/180 = π/3 radians.
Part E: The phase angle in degrees is 60 degrees.
Part F: The period is given by T = 1/f, where f is the frequency in hertz. From part B, we know that f = 200 Hz. Therefore, T = 1/200 = 0.005 seconds.

Thus, overall, the answers are:
Part A: 30 V

Part B: 200 Hz

Part C: 400π rad/s

Part D: π/3 radians

Part E: 60 degrees

Part F: 0.005 seconds

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Related Questions

find the design stage uncertainty in the measurement when measuring a relatively higher pressure of 303 kpa

Answers

Uncertainty analysis at the design stage refers to a preliminary analysis carried out before the measurement.

Explain about the design stage uncertainty?

The causes of error that affect a measurement cannot be provided by design stage uncertainty analysis, but it can provide information and evaluate methods for instrument selection.

The precision and accuracy of the measuring device, as well as any other elements that can impair the experimenter's capacity to make the measurement, serve to restrict the uncertainty of a single measurement, and it is the experimenter's responsibility to calculate the uncertainty.

Zero-Order Uncertainty is a prediction of the anticipated uncertainty resulting from reading the data (interpretation error or quantization error). This fault is thought to be smaller than the instrumentation error.

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1.What is three phase? why it is needed?
2. What is the condition to be balanced? Write down voltage equation of a balanced 3 phase voltage source and draw their phasor diagram.

Answers

1. We can see here that three phase refers to a type of electrical power transmission that uses three alternating current (AC) waveforms that are 120 degrees out of phase with each other. This is different from single-phase power transmission, which uses only one AC waveform.

What is voltage?

Voltage, also known as electric potential difference, is a measure of the electrical potential energy per unit of charge in an electrical circuit. It is defined as the amount of work required to move a unit of electric charge between two points in a circuit, typically measured in volts (V).

Three-phase power is needed because it allows for more power to be transmitted over a given amount of wire or cable. With three-phase power, the power is delivered in a more consistent manner, which means that there is less voltage drop over long distances.

2. In order for a three-phase system to be balanced, the three phases must have the same amplitude and be 120 degrees out of phase with each other. The voltage equation of a balanced three-phase voltage source is given by:

Vph = Vline / √3

where Vph is the phase voltage and Vline is the line voltage. The phasor diagram for a balanced three-phase system shows three sinusoidal waveforms that are displaced by 120 degrees from each other.

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The Release Train Engineer is a servant leader who displays which two actions or behaviors?

Answers

Explanation:

The Release Train Engineer (RTE) has the main work of supporting as well as coaching the Agile Release Train (ART). They are capable of steering ART successfully and to navigate the complexity in delivering  the software in large and inter-functional environments.  

They serve the scrum master and coach teams to improve on the results.

The two actions or behaviors of the RTE are :

1. They try to create an environment of the mutual influence.  

2. Listens and also supports the teams in problem identification as well as decision-making.

                   

The behaviors or actions that the release train engineer does include:

Operating within the lean budget.Facilitating demos

The release train engineer refers to a servant leader who is responsible for facilitating program-level processes and executes them.

The release train engineer is also responsible for driving continuous development, managing risks, and escalating impediments. Some of their actions include operating within the lean budget and facilitating demos.

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When preparing for a compression test, technician A disables the ignition system. Technician B only removes the spark plug for the cylinder he is testing. Which technician is correct?

Technician A only

Technician B only

Both Technicians A and B

Neither Technician A nor B
Technician A only

Answers

Technician B only is correct. Technician B only removes the spark plug for the cylinder he is testing.

When preparing for a compression test, it is necessary to disable the ignition system. This prevents the engine from starting during the test, allowing accurate measurement of the cylinder's compression. Technician A is correct in disabling the ignition system, which typically involves disconnecting the spark plug wires or using a specific ignition system disabling tool.

However, Technician B, who only removes the spark plug for the cylinder being tested, is not following the correct procedure. To obtain accurate compression readings, it is essential to remove all spark plugs from the engine. This ensures that there is no combustion happening in any of the cylinders, allowing the compression tester to measure the maximum pressure within each cylinder without interference from the ignition system.

Therefore, only Technician A is correct in disabling the ignition system, while Technician B should also remove all spark plugs before conducting the compression test.

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What is not a duty of a general service technician?

Answers

Have the customer sign the work order.

Order the parts needed is NOT a duty of the General Service Technician.

General service technicians are knowledgeable workers who are in charge of carrying out repair tasks on cars and other light vehicles. Customers must interact with these specialists in order to discuss pricing estimates for undertaking car maintenance services. They are required to undertake any required repairs or part replacements as well as visual vehicle inspections. They must possess the necessary skills to operate equipment that mounts and balances vehicle tyres. General service personnel should be able to install car batteries and inspect the electrical systems of vehicles.

Therefore, order the parts needed is NOT a duty of the General Service Technician.

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What security countermeasures could be used to monitor your production SQL databases against injection attacks? 6. What can you do to ensure that your organization incorporates penetration testing and web application testing as part of its implementation procedures?

Answers

To monitor production SQL databases against injection attacks, several security countermeasures can be implemented such as Input Validation and Sanitization, WAF, Security Auditing and Penetration Testing etc.

1)Input Validation and Sanitization: Implement strict input validation and sanitization techniques to ensure that user-supplied data is properly validated and sanitized before being used in SQL queries.

2)Web Application Firewalls (WAF): Deploy a WAF to analyze incoming web traffic and detect and block potential SQL injection attempts.

3)Principle of Least Privilege: Ensure that database accounts and application service accounts have the minimum required privileges.

4)Regular Patching and Updates: Keep the database management system and associated software up to date with the latest security patches.

5)Log Monitoring and Analysis: Implement a centralized log management system to monitor and analyze logs from the database server.

6)Security Auditing and Penetration Testing: Conduct regular security audits and penetration tests on the production SQL databases.

To ensure that an organization incorporates penetration testing and web application testing as part of its implementation procedures, the following steps can be taken:

1)Develop a Security Testing Policy: Establish a comprehensive security testing policy that outlines the requirements, methodologies, and frequency of security testing, including penetration testing and web application testing.

2)Incorporate Security Testing in Development Lifecycle: Integrate security testing into the software development lifecycle (SDLC).

3)Engage Professional Security Testing Services: Partner with reputable security firms or hire skilled penetration testers to conduct thorough assessments of the organization's infrastructure, applications, and systems.

4)Regularly Review and Update Testing Procedures: Continuously review and update the security testing procedures to adapt to new threats and emerging vulnerabilities.

5)Implement Remediation Processes: Establish a systematic approach for addressing identified vulnerabilities and weaknesses.

By implementing these measures, organizations can ensure that penetration testing and web application testing are integrated into their implementation procedures, leading to improved security and reduced risks of successful attacks.

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What happens to the energy stored in a capacitor connected to a battery when a dielectric is inserted? was work done in the process?

Answers

When a dielectric is inserted into a capacitor connected to a battery, the energy stored in the capacitor increases. This is because the electric field between the plates decreases due to the presence of the dielectric, which leads to an increase in capacitance and an increase in energy stored in the capacitor.

The capacitance is defined as the ability of a capacitor to store energy in the form of an electric charge, and it is directly proportional to the distance between the plates and inversely proportional to the dielectric constant of the medium between the plates.


The work done in the process of inserting a dielectric into a capacitor is given by the equation W = Fd, where W is the work done, F is the force required to insert the dielectric, and d is the distance over which the force is applied. The force required to insert the dielectric is proportional to the change in electric field between the plates, which in turn is proportional to the dielectric constant of the medium.


The energy stored in a capacitor connected to a battery increases when a dielectric is inserted, and the work done in the process depends on the dielectric constant of the medium.

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You have accumulated several parking tickets while at school, but you are graduating later in the year and plan to return to your home in another jurisdiction. A friend tells you that the authorities in your home jurisdiction will never find out about the tickets when you re-register your car and apply for a new license. What should you do?

Answers

Answer:

pay off the parking tickets

Explanation:

In the scenario being described, the best thing to do would be to pay off the parking tickets. The parking tickets stay under your name, and if they are not paid in time can cause problems down the road. For starters, if they are not paid in time the amount will increase largely which will be harder to pay. If that increased amount is also not paid, then the government will suspend your licence indefinitely which can later lead to higher insurance rates.

If you’re shopping for a rack switch, what component on the switch tells you it can be mounted to a rack? a. AC adapter b. Rack ears c. Padded feet d. Large fans

Answers

The correct answer is b. Rack ears. Rack ears are the pieces of metal on the sides of the switch that enable it to be mounted to a rack. They are adjustable and allow the switch to fit securely into the rack.

What is metal?

Metal is a type of material made up of many small particles that are tightly packed together. It is a hard, dense material that is highly versatile and can be used for a wide range of applications. Metals are typically composed of iron, nickel, cobalt, or other metallic elements. Metal is strong and can be used to create durable and long-lasting products, such as tools and furniture. Metal is also malleable and can be shaped into a variety of forms. It is also highly conductive, meaning it can transmit electricity, heat, and sound. Metals can be polished to create a glossy finish and are often used in jewelry and other decorative items. Additionally, metals are used in automotive, aerospace, and other industrial applications due to their strength and durability.

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a(n) ? is typically installed at each end of a utp backbone cable that has a corrugated aluminum shield over the core for the purpose of grounding the cable.

Answers

The correct answer is bonding clamp is typically installed at each end of a utp backbone cable that has a corrugated aluminum shield over the core for the purpose of grounding the cable.

The bonding clamp is used to ground OPGW to the tower by attaching to the tower grounding wire. Specific requirements vary from one utility to another. The product is an aluminum extruded parallel groove clamp. The ground clamps are typically used for connecting, grounding conductor to a water pipe, copper tubing, ground rods etc.

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This list gives the lengths of different leaves in centimeters. 7. 5, 9. 5, 9. 0, 8. 0, 7. 5, 8. 5, 7. 5, 8. 5, 9. 5, 8. 5, 9. 0, 9. 5, 8. 0, 9. 5, 8. 0, 9. 0, 9. 0, 9. 0 Create a line plot to display the data. To create a line plot, hover over each number on the number line. Then click and drag up to plot the data

Answers

The line plot would have a number line ranging from 7 to 9.5 with increments of 0.5. There would be data points plotted at 7.5, 9.5, 9.0, 8.0, 8.5, and 9.0, with multiple points at certain values.

The line plot would visually represent the distribution of leaf lengths.

Here is a textual representation of the line plot based on the given data:

7.5    |   X

7.75   |

8.0    |   X

8.25   |

8.5    |   X   X

8.75   |

9.0    |   X   X   X   X

9.25   |

9.5    |   X   X   X

9.75   |

In the line plot, each X represents a data point from the given list. The vertical axis represents the count or frequency of each length, while the horizontal axis represents the range of lengths.

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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

According to Erikson, the major personality attainment of adolescence is __________. A) trust B) identity C) autonomy D) intimacy

Answers

According to Erikson, the major personality attainment of adolescence is identity. The correct option is B).

What is personality attainment?

Erik Erikson was the first to identify identity as a major personality achievement of adolescence and a critical step toward being a productive, content adult.

Creating an identity entails establishing who you are, what you value, and the life paths you pick. There are eight stages of Erickson's theory. Mistrust is the first stage. During this stage, the infant is unsure of their surroundings and looks to their primary caregiver for stability and consistency of care.

Therefore, the correct option is B) identity.

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If you can choose among three lanes on your side of the road,
a. pick the right lane for the smoothest driving
b. use the middle lane to drive slowly, enter, or turn off the road
c. use the left lane to go faster, pass, or turn left
h

Answers

C. use the left lane to go faster, pass, or turn left.

Soil needs to be compacted to its optimum bulk density of 2 gm/cc at 15% moisture content (mass basis) for an earthen dam structure. If the soils are initially at 10% moisture content (mass basis) with 1. 2 gm/cc bulk density, how much water volume needs to be added or removed before you start compaction for the 15 m long, 3 m high compacted dam with bottom width of 5 m and top width of 2 m (trapezoidal section)

Answers

Soil is a vital component of any construction process. It is used to provide a strong and stable foundation that can support the weight of the structure built on top of it. Soil needs to be compacted to its optimum bulk density of 2 gm/cc at 15% moisture content (mass basis) for an earthen dam structure.

If the soils are initially at 10% moisture content (mass basis) with 1.2 gm/cc bulk density, how much water volume needs to be added or removed before you start compaction for the 15 m long, 3 m high compacted dam with a bottom width of 5 m and top width of 2 m (trapezoidal section).The bulk density of the soil needs to be increased to 2 gm/cc, and it needs to be done at 15% moisture content.

Therefore, the volume of soil that needs to be added or removed = 140 - 84 = 56 m³At 10% moisture content, the soil density is 1.2 gm/cc, and it needs to be increased to 2 gm/cc by adding or removing water. The soil moisture content can be increased by adding water, and it can be reduced by removing water. In this case, water needs to be added to the soil.

The amount of water required to achieve the optimum moisture content can be calculated using the following formula: Water volume = (Final soil volume x Final soil density x Final moisture content) - (Initial soil volume x Initial soil density x Initial moisture content) = (84 x 2 x 0.15) - (140 x 1.2 x 0.10) = 4.02 m³Therefore, 4.02 m³ of water needs to be added to the soil to achieve the desired moisture content and bulk density.

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Technician A uses three prong electrical cords when possible.
Technician B uses double insulated electrical tools. Which technician
is correct?
Select one:
A. Technician A only
B. Technician B only
C. Both technicians
D.Neither technician

Answers

A

Correct me if I’m wrong tnx

Which metal is stronger? Tungsten or Titanium?​

Answers

Answer:

i believe tungsten is stronger than titanium !

Question: how was y(x) calculated?
original question: Experimental measurements were taken from a physical measurement system that can be modeled as y=b xm. The experimental data pairs (x,y) were (1.000, 3.26), (2.000, 12.36), (3.000, 28.04), (4.000, 50.04), (5.000, 77.48). Find the coefficients (b, m) that fit the model using the method of least squares (and the equations provided in the lecture or textbook) and calculate the standard error of the fit. Calculate the device sensitivity. Show your answers using 3 decimal points.

Answers

All calculations were done using the given data with three decimal points.

What is decimal?
The accepted method for representing both integer as well as non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer numbers. Decimal notation is the term used to describe the method of representing numbers inside the decimal system.  A decimal numeral refers generally to a notation of a number inside the decimal numeral system (also frequently just called a decimal or, less accurately, a decimal number).

The coefficients (b, m) were calculated using the method of least squares. The equation for this method is b = (n∑xy - (∑x)(∑y)) / (n∑x2 - (∑x)2) and
m = (n∑x2 - (∑x)(∑y)) / (n∑x2 - (∑x)2).

The standard error of the fit was calculated using,
The equation SE =√(∑(y-y_calc)2/ (n-2))
where y_calc is the calculated y value from the model equation.
The device sensitivity was calculated using the equation S = m/x.

All calculations were done using the given data with three decimal points.

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You're a professor teaching Data Science with Python, and you want to visually assess if the grades (A, A-, B+, etc.) on your exam follow a particular distribution. Which plot do you use?
A. Scatter Plot
B. Histogram
C. Line plot

Answers

You are a professor who uses Python to teach data science, and you want to visually check whether the test's grade distribution (A, A-, B+, etc.) fits a certain pattern. Use a histogram plot in your work.

Which Python libraries do data scientists use?

Pandas (Python data analysis) is essential to the data science life cycle. It is the most widely used and well-known Python module for data research, except from NumPy in matplotlib.

What kind of analytics helps in making decisions for the best potential result?

Thanks to predictive analytics, businesses may make a variety of forecasts, test those predictions for effectiveness, find areas of weakness, make more predictions, and so forth.

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Which of these is known as the greatest danger associated with excavations?
Select the best option.

Asphyxiation


Cave-ins


Fire


Underground utility lines

Answers

Answer:

Cave-ins

Explanation:

The term excavation means any form of cuts, depression or trench by removing the surface of the earth. This process is intended primarily for the purpose of construction and maintenance or exploration. In this process there are many hurdles that pose danger to both human life and earth. The excavation workers face the great threat because of cave-ins. The collapsing of the earth's surface and random accidents prove to be very dangerous for the workers.

The force that your engine applies to turn your cars wheels

Answers

It’s called torque, or angular force. The linear motion of the pistons is converted to angular force via the axle

Differential Leveling
correct BS rod reading and correct FS rod reading for curvature and refraction before computing HI and elevation of TP1
BM A elevation = 462.43'
BS (plus) rod reading = 8.23'
Horizontal distance to BS rod from instrument = 1,791.62'
FS (minus) rod reading = 2.54'
Horizontal distance to FS rod from instrument = 1,118.57"
What is the elevation of TP1?
Round answer to 2nd decimal place
example answer 975.25
don't enter units.

Answers

The angular speed of the rod, when it lands on the horizontal surface is 1.61 rad/s.

(b) The the angular acceleration of the rod, just before it touches the horizontal surface is 1.06 rad/s² .

Angular acceleration of the rod

The angular acceleration of the rod is calculated as follows;

Apply the principle of conservation of angular momentum;

τ = Iα

where;

τ is torque

I is moment of inertial of the rod

α is the angular acceleration

τ = Fr = mg(L/2) cosθ

I = mL²/3

mg(L/2) cosθ =  mL²/3(α)

g(1/2) cosθ =  L/3(α)

(³/₂)g cosθ  = L(α)

(³/₂ L)g cosθ  = α

1.5Lg cosθ  = α

1.5(2.1) cos (70.4) = α

1.06 rad/s² = α

Angular speed of the rod

ωf² = ω₁² + 2αθ

ωf² = 0 + 2(1.06)(70.4π/180)

ωf² = 2.605

ωf = √2.605

ωf = 1.61 rad/s

Thus, the angular speed of the rod, when it lands on the horizontal surface is 1.61 rad/s.

The the angular acceleration of the rod, just before it touches the horizontal surface is 1.06 rad/s² .

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Ew Wakefield Hospital has only one portable X-ray machine. The emergency room staff claim to have the greatest need for the machine, but the surgeons in the operating room demand ready access to the machine. The conflict between these two groups is a result of Group of answer choices

Answers

Ew Wakefield Hospital has only one portable X-ray machine. The emergency room staff claim to have the greatest need for the machine, but the surgeons in the operating room demand ready access to the machine. The conflict between these two groups is a result of scarcity.

Science and technology are the driving forces behind today's modern medicine, allowing us to identify and treat a range of medical problems. X-ray technology has had a significant impact on medicine, and it is commonly used to diagnose various diseases, making it an essential tool for hospitals.

Despite the advantages, the scarcity of portable X-ray machines creates difficulties for hospital employees, including a dispute between the emergency room and the operating room staff at Ew Wakefield Hospital. There is only one portable X-ray machine available at Ew Wakefield Hospital.

The conflict between the emergency room and the operating room staff is a result of scarcity. Both departments require ready access to the X-ray machine. Scarcity can generate rivalry, competition, and conflict when people and organizations compete for the same resource.

The staff's conflict is a direct result of the lack of accessibility to the X-ray machine. Thus, scarcity can be a significant factor contributing to interpersonal conflict.

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how do scientists learn about the layers deep inside earth

Answers

Scientists use a variety of methods to learn about the layers deep inside Earth. One way is by studying seismic waves, which are waves of energy that travel through the Earth's interior during earthquakes.

By analyzing how seismic waves behave as they pass through different layers of the Earth, scientists can infer the composition and properties of each layer. Another way is by examining rocks and minerals that have been brought to the surface by volcanic activity or mountain building. By analyzing the composition of these rocks, scientists can learn about the deeper layers from which they originated. Additionally, scientists use computer models and simulations to study the behavior and composition of the Earth's interior.

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dentify the recommended practices when putting a tip on a micropipette. Select one or more: Gently push the micropipette into the tip and tap lightly to load the tip. Hold the micropipette at a 45 degree angle to the tip rack. Use the tip size designed for the micropipette size in use. Remove the tip from the rack and place it on micropipette by hand.

Answers

Answer:

Gently push the micropipette into the tip box and tag tightly to load the tip.

Explanation:

The recommended practice when putting a tip on a micropipette is ;  Gently push the micropipette into the tip box and tag tightly to load the tip.

Given that it is not advisable to remove tip from rack so as not to contaminate it, if we want to put a tip on a micropipette we should gently push the micropipette into the tip box.

An automobile travels along a straight road at 15.65 m/s through a 11.18 m/s speed zone. A police car observed the automobile. At the instant that the two vehicles are abreast of each other, the police car starts to pursue the automobile at a constant acceleration of 1.96 m/s2. The motorist noticed the police car in his rear view mirror 12 s after the police car started the pursuit and applied his brakes and decelerates at 3.05 m/s2. (Hint: The police will not go against the law.) a) Find the total time required for the police car to overtake the automobile. (12 marks) b) Find the total distance travelled by the police car while overtaking the automobile. (2 marks) c) Find the speed of the police car at the time it overtakes the automobile

Answers

Answer:

A.) Time = 17.13 seconds

B.) Distance = 31.9 m

C.) V = 11.18 m/s

D.) V = 7.1 m/s

Explanation:

The initial velocity U of the automobile is 15.65 m/s.

 At the instant that the two vehicles are abreast of each other, the police car starts to pursue the automobile with initial velocity U = 0 at a constant acceleration of 1.96 m/s². Because the police is starting from rest.

For the automobile, let us use first equation of motion

V = U - at.

Acceleration a is negative since it is decelerating with a = 3.05 m/s² . And

V = 0.

Substitute U and a into the formula

0 = 15.65 - 3.05t

15.65 = 3.05t

t = 15.65/3.05

t = 5.13 seconds

But the motorist noticed the police car in his rear view mirror 12 s after the police car started the pursuit and applied his brakes and decelerates at 3.05 m/s².

The total time required for the police car to overtake the automobile will be

12 + 5.13 = 17.13 seconds.

b.) Using the third equation of motion formula for the police car at V = 11.18 m/s and a = 1.96 m/s²

V^2 = U^2 + 2aS

Where S = distance travelled.

Substitute V and a into the formula

11.18^2 = 0 + 2 × 1.96 ×S

124.99 = 3.92S

S = 124.99/3.92

S = 31.88 m

c.) The speed of the police car at the time it overtakes the automobile will be in line with the speed zone which is 11.18 m/s

d.) That will be the final velocity V of the automobile car.

We will use third equation of motion to solve that.

V^2 = U^2 + 2as

V^2 = 15.65^2 - 2 × 3.05 × 31.88

V^2 = 244.9225 - 194.468

V = sqrt( 50.4545)

V = 7.1 m/s

A light commercial building located in Philadelphia, Pa has construction and use characteristics much like a residence and design heating load of 120,000 Btu/h and cooling of 60,000 Btu/h. Determine the following: (a) Heating energy requirement, Btu(b) Gallons of No. 2 fuel oil/year, assuming efficiency of the furnace is 75 %(c) Cubic feet of natural gas/year(d) kWh of electricity for cooling for air conditioner with SEER of 8.5 using degree day method.(6 points)

Answers

Answer:

b

Explanation:

The Weld Center Vertices option is available for which of the
following Fill Hole Mode settings?

Answers

As a general overview, the term "Weld Center Vertices" typically refers to a feature or option that is used in 3D modeling or computer-aided design (CAD) software.

What is the feature used for?

This feature is usually used in conjunction with a "Fill Hole" mode, which is a tool that is used to fill in holes or gaps in 3D models.

When the "Weld Center Vertices" option is enabled in a "Fill Hole" mode, the software will attempt to connect the vertices or points around the hole by creating a new surface or face that is centered on the vertices. This can be useful for creating a more uniform and seamless 3D model, particularly when dealing with complex shapes or irregular surfaces.

Read more about 3D models here:

https://brainly.com/question/29306858

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my mother lives just the corner from me

Answers

My mother lives.

From the point of view of the sentence, the mother is living far away from the point of her child. She is living not very far but from the point of view of the streets. She is living in her old apartment that is at the end of the road.

Hence says lives just the corner from me.

The statement describes the relations with the mother and child where the child expresses he feeling towards the mother that is used to living in her house that is just comer from her.Hence making the statement dramatic.

Learn more about just the corner from me.

brainly.com/question/13857084.

application's of kirchoff's law​

Answers

Kirchhoff's laws are used to help us understand how current and voltage work within a circuit. They can also be used to analyze complex circuits that can't be reduced to one equivalent resistance using what you already know about series and parallel resistors. By using these laws, we can find the unknown resistances, voltages and currents (direction as well as value). In the branch method, finding the currents through each branch carried by applying KCL at every junction and KVL in every loop of a circuit.
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