Hw3/ the lab flume has dimensions 7 m length, 0. 4 m width, and 0. 8 m depth, the head of water over a gate is 0. 3 m. the water coming out from the gate is collected in a rectangular tank 1m by 1 m. the rise of the water level in this tank is 90 cm in 15 sec. find the coefficient of discharge. if the height opening is 0. 1 m

Answer:

A

Explanation:

Answer:

An opamp is an operation amplifier. It takes an input signal and amplifies it on the output side.

An ideal opamp should have infinite impedance at its input, infinite gain on the output, and zero impedance on the output

Answer: it spread by winds has a strong effect on fire behavior due to the fanning effect on the fire.Wind increases the supply of oxygen.

Explanation:

Fires need three things to occur in order to start and grow: oxygen, a spark/heat, and fuel. Wildfires in forests have plenty of fuel and heat is never really an issue, therefore the wind can cause a fire to continue and even spread faster. Wind will not only increase the fire's supply of oxygen, but it will   also blow the fire in many different directions, now causing the flames to spread.

Answer:

liquifid gas

Explanation:

when gas is introduced to a certain chemical it ends up slowly liquifying itself.

Answer:

A

Explanation:

Answer:

a

Explanation:

Answer:

\(4:1\)

Explanation:

\(N_p\) = Number of turns of primary coil = 200

\(N_s\) = Number of turns of secondary coil = 50

The transformer turn ratio is given by

\(\dfrac{N_p}{N_s}=\dfrac{200}{50}\)

\(\Rightarrow \dfrac{N_p}{N_s}=\dfrac{4}{1}\)

\(\Rightarrow \dfrac{N_p}{N_s}=4:1\)

The transformer turn ratio is \(4:1\).

This question is incomplete, the complete question is;

Given the complex numbers A₁ = 6∠30 and A₂ = 4 + j5;

(a) convert A₁ to rectangular form

(b) convert A₂ to polar and exponential form

(c) calculate A₃ = (A₁ + A₂), giving your answer in polar form

(d) calculate A₄ = A₁A₂, giving your answer in rectangular form

(e) calculate A₅ = A₁/(\(A^{*}\)₂), giving your answer in exponential form.

Answer:

a) A₁ in rectangular form is 5.196 + j3

b) value of A₃  in polar form is 12.19∠41.02°

The polar form of A₂ is 6.403 ∠51.34°, exponential form of A₂ = 6.403\(e^{j51.34 }\)

c) value of A₃  in polar form is 12.19∠41.02°

d) A₄ in rectangular form is 5.784 + j37.98

e) A₅ in exponential form is 0.937\(e^{j81.34 }\)

Explanation:

Given data in the question;

a) A₁ = 6∠30

we convert A₁ to rectangular form

so

A₁ = 6(cos30° + jsin30°)

= 6cos30° + j6cos30°

= (6 × 0.866) + ( j × 6 × 0.5)

A₁  =  5.196 + j3

Therefore, A₁ in rectangular form is 5.196 + j3

b) A₂ = 4 + j5

we convert to polar and exponential form;

first we convert to polar form

A₂ = √((4)² + (5)²) ∠tan⁻¹( \(\frac{5}{4}\) )

= √(16 + 25) ∠tan⁻¹( 1.25 )

= √41 ∠ 51.34°

A₂ = 6.403 ∠51.34°

The polar form of A₂ is 6.403 ∠51.34°

next we convert to exponential form;

A∠β can be written as A\(e^{j\beta }\)

so, A₂  in exponential form will be;

A₂ = 6.403\(e^{j51.34 }\)

exponential form of A₂ = 6.403\(e^{j51.34 }\)

c) A₃ = (A₁ + A₂)

giving your answer in polar form

so, A₁ = 6∠30 = 5.196 + j3 and A₂ = 4 + j5

we substitute

A₃ = (5.196 + j3) + ( 4 + j5)

= 9.196 + J8

next we convert to polar

A₃ = √((9.196)² + (8)²) ∠tan⁻¹( \(\frac{8 }{9.196}\) )

A₃ = √(84.566416 + 64) ∠tan⁻¹( 0.8699)

A₃ = √148.566416 ∠41.02°    

A₃ = 12.19∠41.02°

Therefore, value of A₃  in polar form is 12.19∠41.02°

d) A₄ = A₁A₂

giving your answer in rectangular form

we substitute

A₄ = (5.196 + j3) ( 4 + j5)

= 5.196( 4 + j5) + j3( 4 + j5)

= 20.784 + j25.98 + j12 - 15

A₄ = 5.784 + j37.98

Therefore, A₄ in rectangular form is 5.784 + j37.98

e) A₅ = A₁/(\(A^{*}\)₂)

giving your answer in exponential form

we know that \(A^{*}\)₂ is the complex  conjugate of A₂

so

\(A^{*}\)₂ = (6.403 ∠51.34° )*

= 6.403 ∠-51.34°

we convert to exponential form

A∠β can be written as A\(e^{j\beta }\)

\(A^{*}\)₂  = 6.403\(e^{-j51.34 }\)

also

A₁ = 6∠30

we convert to polar form

A₁ = 6\(e^{j30 }\)

so A₅ = A₁/(\(A^{*}\)₂)

A₅ = 6\(e^{j30 }\) / 6.403\(e^{-j51.34 }\)

A₅  = (6/6.403) \(e^{j(30+51.34) }\)

A₅  = 0.937\(e^{j81.34 }\)

Therefore A₅ in exponential form is 0.937\(e^{j81.34 }\)

Answer:

Explanation:

In satellite communications, downlink is the establishment of a communications link from an orbiting satellite down to one or more ground stations on Earth. Contrast with uplink.

Answer:

Under the OSH law, employers have a responsibility to provide a safe workplace. This is a short summary of key employer responsibilities: Provide a workplace free from serious recognized hazards and comply with standards, rules and regulations issued under the OSH Act.

credits to google

Explanation:

Answer:

employers

Explanation:

because they are responsible.

Answer:

60000 H

Explanation:

We are given;

Number of turns; N = 3000 turns

Change in flux = 900 - 860 = 40 Wb

Change in current = 9 - 7 = 2 A

Now, the formula for incremental inductance is given as:

L = N(Change in flux/Change in current) where;

N is Number of turns

Plugging in the relevant values, we have;

L = 3000(40/2)

L = 60000 H.

Answer:

  see attached

Explanation:

As you know, a full adder produces the binary value in (carry, output) that is the the number of true input bits among the (carry in, A, B) inputs.

The annotated diagram attached shows the bit values for a 4-bit full adder/subtractor.

__

Additional comment

If the numbers are considered "signed", then the top diagram will generate an "overflow" based on the difference between the carry C4 and the output O4.

Possible, tensile strength increases with molecular weight. Therefore the linear and isotactic polymer will have the higher tensile strength.

Possible, tensile strength increases with molecular weight. Therefore the linear and isotactic polymer will have the higher tensile strength.

1) Possible, With an increase in molecular weight, tensile strength rises. As a result, polymers that are linear and isotactic will have a greater tensile strength.

2) It seems unlikely that both polymers display the same level of enhanced tensile strength, but we lack sufficient data to determine how much is raised and which polymer exhibits a greater value.

3) Due to a higher number of covalent bonds, network polymers may, in general, have higher tensile strengths than branch structures.

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Answer: Apply battery-terminal grease to the terminals to help prevent corrosion. It's available at any auto parts store and usually comes in a little ketchup-like packet. Another great option is AMSOIL Heavy-Duty Metal Protector. It creates a protective coating on terminals that wards off corrosion.

Explanation:

The "most perfect" method of scavenging will depend on the specific materials or resources being scavenged, as well as the context in which the scavenging is occurring.

Scavenging refers to the process of collecting and using materials or resources that have been discarded or abandoned by others.

Therefore, In knowing what you're looking for: Before you start scavenging, it's important to have a clear idea of the materials or resources you need and where you might be able to find them. This will help you focus your search and make it more efficient.

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Answer:The proposition p is called hypothesis or antecedent, and the proposition q is the conclusion or consequent. Note that p → q is true always except when p is true and q is false.p only if q means "if not q then not p, " or equivalently, "if p then q." Biconditional (iff): The biconditional of p and q is "p if, and only if, q" and is denoted p q. It is true if both p and q have the same truth values and is false if p and q have opposite truth values.

Explanation:

Answer:
The most common reason a cruise control stops working is due to a blown fuse or a defective brake pedal switch. It can also be caused by issues with the throttle control system or the ABS. In older cruise control systems it can be caused by a broken vacuum line.

Answer:

B

Explanation:

A short statement that describes what you want

A goal or aim best describes an objective statement.

What is objective statement?

Objectives are utilised in many different corporate and job-search scenarios. They are brief sentences that express just what you desire. While your ultimate objective may be to find work, your resume statement may mention that you wish to work as a nurse. In a business setting, aim statements contain specifics on how you intend to attain a corporate goal. In the past, one of the most typical places to see goal statements was in resumes. They were the one to three lines of text at the top of a resume that notified an employer a little about the candidate's level of experience and the type of job they desired.

An objective statement is a brief, position-centered statement that describes the value you can provide and the needs you can meet. A concise explanation of the skills and qualifications you will offer to a position may be included in an objective. A professional summary is more detailed and longer than an objective statement.

So, the right answer is B.

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True. When two small loudspeakers emit pure sinusoidal waves with frequency-independent amplitude and are in phase, constructive interference occurs.

Constructive interference happens when the crests and troughs of the waves align, resulting in reinforcement and an overall increase in amplitude.

In this scenario, since the waves have the same frequency and are in phase, their crests and troughs will align perfectly. As a result, the waves will add up, creating a larger wave with a higher amplitude.

The phenomenon of constructive interference can be observed in various practical situations, such as when two speakers play the same sound wave simultaneously. The combined sound will be louder than that produced by a single speaker alone.

It's important to note that for constructive interference to occur, the waves must have the same frequency and be in phase. If the waves have different frequencies or are out of phase, destructive interference may occur, leading to a reduction in amplitude or even cancellation of the waves.

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Answer:

0.00695 A

Explanation:

µ represents \(10^{-6}\). Multiply this by 6,950.

Wiring components are considered accessible when (1) access can be gained without damaging the structure or finish of the building or (2) they are provided with a suitable access panel, door, or removable cover.

These requirements ensure that wiring components can be easily accessed for maintenance, inspections, repairs, or modifications without causing unnecessary damage to the building or compromising the safety of individuals working on or around the electrical system. Proper accessibility of wiring components is essential for efficient operation, troubleshooting, and compliance with electrical codes and standards.

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Answer:

10

Explanation:

The center temperature To at t = 1 hour after the start of the cooling is 185.6 °C

To calculate the center temperature of the brick column at t = 1 hour after the start of the cooling, we need to use the heat equation, which is a partial differential equation describing how heat flows through a material over time. The heat equation for a two-dimensional steady state problem is given by:

∇²T = α ∂T/∂t

Where T is the temperature, α is the thermal diffusivity, and t is time.

The solution to this equation can be found using the semi-infinite solid solution which is given by

To = Ti + (T∞-Ti) erfc(x/2*√(αt))

where,

To is the center temperature,

Ti is the initial temperature of the column,

T∞ is the ambient temperature,

x is the distance from the surface of the column, α is the thermal diffusivity, and

t is time.

In this case,

To = 225 + (25-225) erfc(5/2√(0.510^-6 * 3600))

Plugging in the given values, the center temperature is around Tₒ = 225 + (25-225) erfc(0.0156) ≈ 185.6 °C

Therefore, the correct answer is as given above

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Answer:

Retail Salespersons

Explanation:

The Bureau of Labor Statistics or the BLS in short is the federal unit or agency of the United States Labor Department. It is the main stats finding agency of the United States federal government in the field of statistics and labor economics.

According to a publication published by the Labor Statistics Bureau, the retail salesperson sector of occupation employed the most people in the U.S. in the year 2010. It provided employment to about 4.2 million people.

Answer:

b. retail salespersons

Explanation:

In summary, based on the given impulse response h(t) = exp(-3t)u(t-1), we can conclude that the LTI system is causa

To determine if the LTI (Linear Time-Invariant) system with the impulse response given by h(t) = exp(-3t)u(t-1) is causal or noncausal, we need to examine its impulse response.

A system is considered causal if the output at any given time depends only on the current and past inputs, and not on future inputs. In other words, the impulse response of a causal system must be zero for negative time values.

In the given impulse response, we have exp(-3t)u(t-1). Here, the unit step function u(t-1) ensures that the response is only activated for t ≥ 1. For t < 1, u(t-1) evaluates to zero, effectively making the entire expression exp(-3t)u(t-1) zero. Therefore, the impulse response is zero for t < 1, which indicates that the system is causal.

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In Scale-up of Batch Filtration of Protein Precipitate A small test filtration of a pro- tein precipitate in an aqueous suspension uses a conventional filter with an area of 89 cm2 at a pressure drop of 0.4 atm to give data for the filtrate volume as a function of time. We would like to filter a much larger batch of the precipitate at the same temperature containing 1000 liters of solvent by using a filter of 1.3 m' area having the same filter medium as for the small-scale filtration. ,The actual time to filter 1000 liters of solvent will therefore be between 58.5 s and 78.5 s.

The filtration rate is given by the Darcy-Weisbach equation:

Q = A * K * (ΔP/L)^(1/2)

Where:

The permeability of the filter medium is constant, so the filtration rate is proportional to the filter area and the square root of the pressure drop.

The filter area for the large-scale filtration is 1.3 m², which is 14.6 times larger than the filter area for the small-scale filtration. The pressure drop for the large-scale filtration is the same as for the small-scale filtration.

The filtration rate for the large-scale filtration is therefore 14.6 times greater than the filtration rate for the small-scale filtration.

The time to filter 1000 liters of solvent at the large-scale filtration is:

t = V / Q = 1000 L / (14.6 L/s) = 68.5 s

The error in the calculated time is due to the fact that the resistance of the filter medium was neglected. The resistance of the filter medium will reduce the filtration rate, so the actual time to filter 1000 liters of solvent will be slightly longer than 68.5 s.

The error in the calculated time can be estimated by using the following equation:

Δt = t * R / (A * K * ΔP)^(1/2)

where:

The resistance of the filter medium is difficult to estimate, but it is typically on the order of 10^10 Pa⋅s/m². The permeability of the filter medium is given in Table P4.12 as 10^-10 m²/Pa⋅s. The pressure drop is the same for both the small-scale and large-scale filtrations.

The error in the calculated time is:

Δt = 68.5 s * 10^10 Pa⋅s/m² / (1.3 m² * 10^-10 m²/Pa⋅s * 0.4 atm)^(1/2) = 10 s

The actual time to filter 1000 liters of solvent will therefore be between 58.5 s and 78.5 s.

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Answer:

The voltage gain is 2.07.

Explanation:

Given that,

Resistance \(R_{1}=14\ k\Omega\)

Resistance \(R_{2}=13\ k\Omega\)

We need to calculate the voltage gain

Using formula of voltage source

\(V_{s}=\dfrac{V_{o}\times R_{2}}{R_{1}+R_{2}}\)

\(\dfrac{V_{o}}{V_{s}}=\dfrac{R_{1}+R_{2}}{R_{2}}\)

Where, \(R_{1}\) = first resistance

\(R_{2}\) =second resistance

\(V_{s}\) = source voltage

\(V_{o}\) = output voltage

Put the value into the formula

\(\dfrac{V_{o}}{V_{s}}=\dfrac{14+13}{13}\)

\(\dfrac{V_{o}}{V_{s}}=2.07\)

Hence, The voltage gain is 2.07

Answer:The two-second rule is a rule of thumb by which a driver may maintain a safe trailing distance at any speed. The rule is that a driver should ideally stay at least two seconds behind any vehicle that is directly in front of his or her vehicle.

Explanation: