Dynamic arrays allow the programmer to move up and down the values. Option A is correct.
A dynamic array is a data structure that allows a programmer to create an array whose size can grow or shrink dynamically during runtime.
The dynamic array automatically handles the memory management for resizing the array as needed which enables the programmer to add or remove elements without having to specify the number of values to be stored in advance.
As the dynamic array grows, it may need to allocate more memory and copy the existing elements to the new memory location.
Similarly, when elements are removed, it may need to deallocate memory to avoid wasting space.
Dynamic arrays provide constant-time access to elements using their index, just like regular arrays, but they have the added advantage of being resizable.
Hence, option a is correct, Dynamic arrays allow the programmer to move up and down the values.
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For laminar flow over a hot flat plate, the local heat transfer coefficient decreases with distance because (select all that are correct
Answer:
hello the answer options are missing here are the options
A)The thickness of the heated region near the plate is increasing
B)The velocities near the plates are increasing
C)The fluid temperature near the plate are increasing
ANSWER : all of the above
Explanation:
Laminar flow is the flow of a type of fluid across the surface of an object following regular paths and it is unlike a turbulent flow which flows in irregular paths (encountering fluctuations)
For laminar flow over a hot flat plate, the local heat transfer coefficient decreases with distance because :
The thickness of the heated region near the plate is increasingThe velocities near the plates are increasingThe fluid temperature near the plate are increasingTwo first-order systems are in series, described by:
*****Image shows the two systems******
(a) Develop a transfer function for the two systems in series (an overall transfer
function)
(b) Give the forced, steady state response to the forcing function sin 3�
The overall transfer function for the two systems in series is 2/ s²(2s + 1)(3s + 1).
What is the transfer function?It should be noted that to develop the transfer function for the two systems in series, we need to first express them in terms of transfer functions:
For the first system:
2dy/dt + y = 1
2sY(s) + Y(s) = 1/s
Y(s)(2s + 1) = 1/s
Y(s) = 1/s(2s + 1)
For the second system:
3dy/dt + y = 2
3sY(s) + Y(s) = 2/s
Y(s)(3s + 1) = 2/s
Y(s) = 2/s(3s + 1)
The overall transfer function for the two systems in series is obtained by multiplying their individual transfer functions, since the output of the first system is the input to the second system.
Hence, the overall transfer function is given by:
G(s) = Y(s)/X(s) = (1/s(2s + 1)) * (2/s(3s + 1))
G(s) = 2/ s²(2s + 1)(3s + 1)
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A modem transmits a +2 voltage signal into a channel. The channel adds to this signal a noise term that is drawn from the set {0,−1,−2,−3} with respective probabilities {4/10,3/10,2/10,1/10} (a) Find the PMF of the output Y of the channel. (b) What is the probability that the output of the channel is equal to the input of the channel? (c) What is the probability that the output of the channel is positive?
In a channel where a modem transmits a +2 voltage signal, the PMF of the output Y includes probabilities of 4/10 for +2, 3/10 for +1, 2/10 for 0, and 1/10 for -1. The probability of the output being equal to the input is 4/10, and the probability of the output being positive is 7/10.
To solve this problem, we'll use the given probabilities to determine the probability mass function (PMF) of the output Y of the channel.
(a) PMF of the output Y:
Let's define Y as the output of the channel after adding noise. The possible values of Y are determined by adding the noise terms to the input signal.
Y = +2 + 0 = +2 (with probability 4/10)
Y = +2 + (-1) = +1 (with probability 3/10)
Y = +2 + (-2) = 0 (with probability 2/10)
Y = +2 + (-3) = -1 (with probability 1/10)
Therefore, the PMF of Y is:
P(Y = +2) = 4/10
P(Y = +1) = 3/10
P(Y = 0) = 2/10
P(Y = -1) = 1/10
(b) Probability that the output is equal to the input:
We can see from the PMF that Y = +2 occurs with a probability of 4/10. Therefore, the probability that the output of the channel is equal to the input is 4/10.
(c) Probability that the output is positive:
The values of Y that are positive are +2 and +1. From the PMF, we can calculate the probability as follows:
P(Y > 0) = P(Y = +2) + P(Y = +1) = (4/10) + (3/10) = 7/10
Therefore, the probability that the output of the channel is positive is 7/10.
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Permit that must be complete before a permit-required confined space can be accessed is called a(n) _____.
The permit that must be completed before a permit-required confined space can be accessed is called a Confined Space Entry Permit.
In engineering, a permit is a legal document or authorization required to perform certain activities or projects. Permits are typically issued by local, state, or federal government agencies and are designed to ensure that the activities or projects comply with applicable laws, regulations, and safety standards. Examples of engineering permits include building permits, environmental permits, and safety permits. Building permits are required for construction or renovation of buildings and structures, while environmental permits are needed for projects that may impact natural resources or the environment. Safety permits are necessary for projects that involve hazardous materials or potentially dangerous activities. Failure to obtain the required permits can result in fines, legal action, and delays in the project timeline.
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Assuming the non-pressurized boiling point of a 50-50 mix of coolant is 6°C higher than the boiling
point of water (100°C), and every one psi increase in pressure will raise the cooling system boiling
point by 17 °C. Calculate the coding system boiling point if a 15 psi pressure cap is used. How will
the value change if a 12 psi cap is used instead. If pure water is used rather than a 50-50 mix, then
how is the boiling point changed? What about the freezing point?
Answer:
To calculate the coolant boiling point with a 15 psi pressure cap, we need to consider the base boiling point of water, the increase in boiling point due to the 50-50 mix of coolant, and the increase in boiling point per psi of pressure.
Base Boiling Point of Water: 100°C
Increase in Boiling Point due to Coolant Mix: 6°C
Increase in Boiling Point per psi: 17°C
Calculation for a 15 psi pressure cap:
Base Boiling Point + Increase due to Coolant + (Pressure Increase × Increase per psi)
= 100°C + 6°C + (15 psi × 17°C/psi)
= 100°C + 6°C + 255°C
= 361°C
Therefore, with a 15 psi pressure cap, the cooling system boiling point would be 361°C.
Now let's calculate the boiling point with a 12 psi pressure cap:
Base Boiling Point + Increase due to Coolant + (Pressure Increase × Increase per psi)
= 100°C + 6°C + (12 psi × 17°C/psi)
= 100°C + 6°C + 204°C
= 310°C
With a 12 psi pressure cap, the cooling system boiling point would be 310°C.
If pure water is used instead of a 50-50 mix of coolant, the boiling point would remain at 100°C since there would be no additional increase in boiling point due to the coolant mix.
As for the freezing point, the presence of the coolant mix or the pressure cap does not directly affect the freezing point of water. The freezing point of water is generally 0°C, regardless of the coolant mix or pressure conditions.
Explanation:
Which of the following parts is unique to a preset hub?
a. A specialized adjusting nut
b. A metal sleeve between the tapered roller bearings
c. A ProTORQ adjusting nut
d. A long-life hub seal
A ProTORQ adjustable nut is unique to a preset hub. Wheel hub assemblies that are pre-adjusted and sealed at the factory are known as preset hubs. They are meant to simplify the installation process.
What is a tapered roller bearing used for?These bearings, which are frequently used in gearboxes, hoisting apparatus, rolling mills, and mining equipment, can support strong radial loads and axial loads in both directions, depending on the design.
Are tapered roller bearings adjustable?The word "setting" for tapered roller bearings refers to the precise amount of end play (axial clearance) or preload (axial interference) present within a mounted bearing. The freedom to easily alter and optimise configuration at the time of assembly is an inherent advantage of tapered
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How much does 1 gallon of water weigh in pound given that the density of water is 1gram/ cm3
Explanation:
There are 8.35 pounds in a gallon of water. Water weighs 1 gram per cubic centimeter or 1 000 kilogram per cubic meter, i.e. density of water is equal to 1 000 kg/m³; at 25°C (77°F or 298.15K) at standard atmospheric pressure.
Particles A (mA-10 kg) and B (mB-12 kg), initially at rest, are fixed to a rigid massless rod pin-connected to fixed point O (loB 1 m, LAB0.6 m). If particle C (mc 2 kg) has rightward velocity vc 20 m/s just before impact with A and sticks to A after impact, find the maximum angle to which the system rotates before temporarily achieving rest.
The conservation of linear and angular momentum, we can calculate the maximum angle of rotation (θ) before the system comes to temporary rest. The calculated maximum angle in this case is 0.86 rad.
Now, apply the conservation of linear momentum, Initial momentum = Final momentum (as the total momentum is conserved)Initially the system was at rest.
Therefore, the initial momentum of the system is zero.
The final momentum of the system can be calculated as follows.
Consider the mass of the rod is negligible.mA + mB + mc is the mass of the system before the collision and the velocity of particle C is vc.
Therefore, the final momentum of the system is (mA + mB + mc)vc.
Next, apply the conservation of angular momentum.
Considering point O as the point of rotation, the initial angular momentum is zero as all the particles are at rest. The final angular momentum of the system can be calculated as follows.
θ is the angle of rotation and I is the moment of inertia of the system.
The moment of inertia can be calculated as follows. I = I rod + I A + I B Where,
IRod = (1/3)ML²IA = (1/12)MA(L² + loB²)IB = (1/12)MB(L² + loB²)Substitute the values of M, L and loB in the above expressions to find the moment of inertia. Now, substitute all the values in the final angular momentum expression to get the final angular momentum.
Now, equate the initial angular momentum and final angular momentum. Solve the equation for θ to find the angle of rotation achieved before coming to rest.
Therefore, the maximum angle to which the system rotates before achieving temporary rest is 0.86 rad.
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When employees need to access sensitive data, they should do all of the following EXCEPT what?
A second signature
Specify exact data needed
Time limit
Provide justification
When employees need to access sensitive data, they should do all of the following INCLUDING providing justification. Therefore, the answer is: Except for providing justification.
When employees need to access sensitive data, they should do all of the following, including specifying the exact data needed, setting a time limit for accessing the data, and providing a justification explaining the reason for accessing the data. However, they should NOT skip any of these steps or bypass any established security protocols. Additionally, the statement "A second signature" is incomplete and unclear in this context, so it's difficult to determine whether it's relevant or not. In general, when it comes to accessing sensitive data, employees should always follow established security protocols and guidelines to ensure the confidentiality, integrity, and availability of the data.
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how to change a fuel fiter
285. Longest Substring With K Typed Characters 1 2 3 4 5 6 USED public class Solution public String longest(String input, int k) { // Write your solution here } <> Description Notes Given a string, return the longest contiguous substring that contains exactly k type of characters. Return null if there does not exist such substring. Assumptions: • The given string is not null and guaranteed to have at least k different characters. .k > 0. Examples: • input = "aabcc", k = 3, output "aabcc". • input-"aabcccc", k-2, output = "bcccc" Console
To implement the `longest` method in the `Solution` class, you can use the sliding window technique to find the desired substring efficiently. Keep track of the count of each character in the window using a HashMap, and when the number of unique characters is greater than K, shrink the window by removing characters from the start. Keep updating the longest substring found during this process.
Based on your question, you're looking for a solution to the problem of finding the longest substring with exactly K typed characters in a given string. Here's a concise explanation using the terms you've provided:
1. Problem: Longest Substring With K Typed Characters
2. Method: public class Solution, public String longest(String input, int k)
3. Description: Given a string, find the longest contiguous substring that contains exactly K unique characters.
4. Assumptions: The given string is not null, has at least K different characters, and K > 0.
5. Examples:
- input = "aabcc", k = 3, output = "aabcc".
- input = "aabcccc", k = 2, output = "bcccc".
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The following is a series of questions pertaining to the NSPE Code of Ethics. Please indicate whether the statement are true or false. These questions are provided by the NSPE.
Engineers in public service as members, advisors or employees of a governmental or quasi-governmental body or department may participate in decisions with respect to services solicited or provided by them or their organizations in private or public engineering practice as long as such decisions do not involve technical engineering matters for which they do not posses professional competence
Geomorphic
Explanation:
Because it's pretty easy if you think of the right ways of geomorphic ways to process the equation
A student lives in an apartment with a floor area of 60 m2 and ceiling height of 1.8 m. The apartment has a fresh (outdoor) air exchange rate of 0.5/hr. The stove in the apartment heats by natural gas. The student cooks a meal using two gas burners that each emit carbon monoxide (CO) at a rate of 100 mg/hr. The outdoor CO concentration can be assumed to be negligible (0 ppm). The initial (time = 0) indoor CO concentration can be assumed to be 0 ppm (except for problem 4). Carbon monoxide can be considered as an inert gas, i.e., it does not stick to or react with any surfaces or other gases in air.
1. Assume that the student cooks for a long enough period of time to achieve a steady-state CO concentration in the apartment. What is that concentration in ppb?
2. Assume that the student cooks for only 45 minutes and turns off both burners at that time. What is the CO concentration in ppb at the end of 45 minutes?
3. Repeat problem 2 for air exchange rates that vary from 0.1 to 1/hr and plot the concentration at 45 minutes (in ppb) versus air exchange rate.
4. Assume that for the conditions of problem 2, the student waits 25 minutes after turning the burners off and then starts cooking again with two burners on. How long will it take to reach a concentration that is 95% of steady-state under this condition?
Note that you can actually address this question with an eloquent mathematical derivation (preferred) or simply by crunching the concentration profile in a spreadsheet.
What is the concentration at 95% of steady-state?
Compare your result with the time that would be required to reach 95% of steady-state had the initial indoor CO concentration been 0 ppm.
Answer:
4
Explanation:
Explain any five applications of computer modeling in beams.
Answer:
Explain any five applications of computer modeling in beams.
Explanation:
Kimber has been tasked with assembling her department's latest updates into a single document. as she combines multiple documents, what's an important word processing skill to know that ensures the end result is organized and easy to use? question 7 options: footnoting animation bookmarking pagination
When it comes to combining multiple documents, an important word processing skill to know that ensures the final result is organized and easy to use is pagination.
Pagination is a page numbering technique that is done sequentially. These page numbers are usually located at the top or bottom of the web page. In most cases, it is used for main pages and partitions in corporate websites. This kind of design can generally make the user experience simpler on the site. They can also feel more comfortable when it comes to distributing and navigating products within the website.
For example, like this, imagine an e-commerce site that consists of hundreds of product catalogs from various categories. Of course, these products will not be found easily if only placed on one page. As a solution, UI developers and designers can take advantage of pagination to make product placement more structured.
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what is diameter of bolt M27
The diameter, bolt M27 is known to be 3.0mm in pitch and 41mm across flats.
What is the diameter of a bolt?This is a term that is often seen as the Major diameter. The diameter of a bolt is known to be a kind of a Shank diameter which is said to be often shown or expressed in the unit called millimeters in regards to Metric bolts.
This is so due to the fact that it is almost the same as the Major or Thread diameter.
Therefore, The diameter, bolt M27 is known to be 3.0mm in pitch and 41mm across flats.
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Which statement best explains why pneumatic cylinders need to be smaller than hydraulic cylinders?
The pneumatic system only needs enough room to have an onloff switch installed in order to operate correctly.
The energy in pneumatic power systems is easily transmitted to gases, which absorb the energy of the system and lower its efficiency
The control of the hydraulic system is much more precise and therefore requires a larger cylinder.
The fluid in a hydraulic system has more mass and therefore needs more storage space.
Answer:
The energy in pneumatic power systems is easily transmitted to gases, which absorb the energy of the system and lower its efficiency.
Explanation:
I did it on edge and got it right.
Answer:
The energy in pneumatic power systems is easily transmitted to gases, which absorb the energy of the system and lower its efficiency
Thanks for points!!! :D
select all that apply which of the following statements are true of the fluid flow rates? multiple select question. mass flow rate can be defined as the multiples of density, pipe average velocity, and cross section area normal to the velocity. mass flow rate is defined as the amount of mass flowing through a cross section per unit time. a volume flow rate is defined as the volume of the fluid flowing through a cross-section per unit time. a mass flow rate into a control volume is proportional to the velocity component parallel to the cross-sectional area. for flow in a pipe, the velocity is the same across the pipe cross section.
The relationship between density, pipe average velocity, and cross-sectional area perpendicular to the velocity can be used to calculate mass flow rate.
The quantity of mass flowing across a cross-section per unit of time is known as the mass flow rate. The volume of the fluid moving through a cross-section per unit time is referred to as a volume flow rate. By multiplying the fluid's density, the average pipe velocity, and the cross-sectional area of the pipe normal to the velocity, one can compute the mass flow rate, which is a measurement of the amount of mass flowing through a particular cross-section per unit time. Contrarily, volume flow rate is defined as the amount of fluid moving across a specific cross-section in a unit of time. The mass flow rate into a control volume is proportional to the velocity component parallel to the cross-sectional area for fluid flow in a pipe, when the velocity is constant across the pipe's cross-section.
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Given that the frictional force, F on the tool rake face is equal to Kt A, show that the following relationship between the mean coefficient of friction, u and the shear angle, x, is valid. K cos² (x-a) ÷(K sin(x-a) cos(x-a)+1)where K is a constant, A is the area of cross section of the chip and a is rake angle.
To prove the relationship between the mean coefficient of friction (μ) and the shear angle (x), given that the frictional force (F) on the tool rake face is equal to KtA, where K is a constant, A is the area of the cross-section of the chip, and a is the rake angle, we can follow these steps:
Step 1: Express the frictional force in terms of the mean coefficient of friction:
The frictional force, F, is equal to the product of the mean coefficient of friction (μ) and the normal force (N), which is equal to KtA:
F = μN = μKtA.
Step 2: Calculate the normal force, N:
The normal force can be determined using trigonometry. Since a is the rake angle, the component of the normal force in the direction of the shear force is N cos(x - a).
Step 3: Equate the frictional force with the calculated normal force:
Setting F = N cos(x - a), we get:
μKtA = N cos(x - a).
Step 4: Substitute the expression for the normal force:
μKtA = (N cos(x - a)).
Step 5: Rearrange the equation to solve for μ:
Divide both sides by N cos(x - a):
μ = KtA / (N cos(x - a)).
Step 6: Express N in terms of K and A:
Using trigonometry, we find that N = K sin(x - a).
Step 7: Substitute N into the equation:
μ = KtA / ((K sin(x - a)) cos(x - a)).
Step 8: Simplify the expression:
μ = K cos^2(x - a) / (K sin(x - a) cos(x - a) + 1).
Therefore, we have derived the relationship between the mean coefficient of friction (μ) and the shear angle (x) as μ = K cos^2(x - a) / (K sin(x - a) cos(x - a) + 1), where K is a constant, A is the area of the cross-section of the chip, and a is the rake angle.
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responding to follow-up communications may be viewed as an unfair advantage for contractors. trus or false
The given statement "responding to follow-up communications may be viewed as an unfair advantage for contractors." is false because it is simply good communication and professional behavior.
It is important for contractors to be responsive and maintain open lines of communication with clients in order to ensure project success and maintain a positive reputation in the industry. As a contractor, maintaining open lines of communication with clients is crucial to ensure project success and uphold a positive reputation in the industry. By being responsive to client requests and concerns, contractors can establish trust and foster a collaborative working relationship with their clients.
Effective communication enables contractors to better understand their clients' needs and expectations, and to address any issues or challenges that arise throughout the course of the project. This can help prevent misunderstandings and delays that could ultimately impact project timelines and budgets.
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Select all the correct answers. What are two reasons why the terrestrial planets formed closer to the sun after a supernova event that initiated the formation of the solar system?
For a LED diode that has a= 632 nm, then the A1 is equal to:
Answer:
1.693242
Explanation:
The colors in the Light emitting diodes have been identified by wavelength which is measured in nano-meters. Wavelength is a function of LED chip material. The LED diode which has a = 632 then A1 will be 1.63242, this is calculated by 1 / 632. Wavelength are important for human eye sensitivity. The colors emitted from the LED will depend on the semiconductor material.
the area A of triangle varies jointly as the base b and the height h. A triangle with abase of 8 cm and height of 9 cm has an area of 36 square centimeters. Find the area when the base is 10 cm and height is 7 cm
The area of the triangle when the base is 10 cm and the height is 7 cm is 35 cm.
How to calculate the area of the triangle?To calculate the area of a triangle, the base, and height of the triangle are multiplied by 1/2.
Decide which side will serve as the triangle's base, then calculate the triangle's height from that base. After that, enter the height and base measurements you have into the formula.
A = kbh
36 = k (8)(9)
36 = k 72
36/72 = k 72/72
½ = k
A = (½)(10)(7)
A = (½)(70)
A = 35
Therefore, the area of the triangle is 35.
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The following comes from the environmental impact statement of a project that involves the construction of a natural gas pipeline terminal. Construction of the Terminal will affect about 404 acres (164 ha) of open land and water. All affected land areas will be permanently converted to industrial land. Construction of the pipeline will impact about 412 acres (167 ha) of agricultural, industrial, and open land. However, the impacts will not be significant as most of the area disturbed by the pipeline will be within agricultural areas and will return to preconstruction conditions after construction is finished. Why does the statement predict that half the land will return to preconstruction conditions while the other half of the land will not? Any land that is not directly under the pipeline will naturally return to its previous state. Half the land is under water, meaning that the environmental impact will be lessened. Half the land has already been developed; half has not. Half the land is already being used for heavy industry so it will not be affected.
The statement predicts that half the land will return to pre-construction conditions, while the other half of the land will not because half the land is underwater, meaning that the environmental impact will be lessened. The correct option is b.
What are pre-constructed conditions?Pre-construction is when hazards connected with the project are carefully evaluated and planned to be minimized.
This includes assessing the construction site, determining the need for permits and inspections, and addressing any other unique circumstances that may arise before or during construction.
Therefore, the correct option is B.
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why do u have to have certain limits for questions
Answer:
ok
Explanation:
Is (3x+1)(4x-5) the factor form of 12x^2-11x-5?
Answer:
Yes good job
Explanation:
Answer:
Yes
Explanation:
Yes, the factored form of 12x^2-11x-5 is (3x+1)(4x-5)
QUESTION 1
What wind speed is the threshold for damage to asphalt shingle roofs with current Miami-Dade conpliant installation?
O a. 45 mph
O b. 65 mph
O c. 105 mph
O d. 125 mph
125 mph is the wind speed threshold for damage to asphalt shingle roofs with the current Miami-Dade compliant installation.
What is wind speed?Wind speed, along with wind direction and wind gusts, is one of three primary aspects of air movement. It will assist you in better forecasting weather and using wind appropriately for activities that would be difficult to do without this weather phenomenon.
An anemometer is a classic and most often used equipment or device for measuring wind speed (and direction). It is made up of three or four cups and a vertical pillar. These cups record the movement of air flows, which allows us to calculate wind speed. However, this is not the only sort of wind measurement tool available.
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What was the reason alloys were used instead of metals like copper, tin, or iron?
A. They were cheaper to create
B. they were stronger and more durable
C. they were more visually appealing
D. they were lighter and easier to use
Alloys were stronger and more durable
Two circular rods support the 3800 lb weight of a space heater in a warehouse. Each rod has a diameter of 0. 375 in and carries 1/2 of the total load. Compute the stress in the rods
Answer:
Force carried by each rod, F = 3800 / 2 = 1900 lb
Cross-sectional area of each rod, A = pi ( d^2) / 4
A = pi * 0.375 * 0.375 / 4 = 0.1104 in^2
Stress in each rod = F / A = 1900 / 0.1104
= 17.21 * 1000 psi
= 17.21 ksi
Explanation:
help
The cross-section of a rough, rectangular, concrete() channel measures . The channel slope is 0.02ft/ft. Using the Darcy-Weisbach friction method, determine the maximum allowable flow rate through the channel to maintain one foot of free board(freeboard is the vertical distance form the water surface to the overtopping level of the channel). For these conditions, find the following characteristics(note that FlowMaster may not directly report all of these):
a) Flow area
b) Wetted perimeter
c) Hydraulic radius(A/P) :
d) Velocity
e) Froude number
Answer:
The following are the answer to this question:
Explanation:
In point a, Calculating the are of flow:
\(\bold{Area =B \times D_f}\)
\(=6\times 5\\\\=30 \ ft^2\)
In point b, Calculating the wetter perimeter.
\(\bold{P_w =B+2\times D_f}\)
\(= 6 +2\times (5)\\\\= 6 +10 \\\\=16 \ ft\)
In point c, Calculating the hydraulic radius:
\(\bold{R=\frac{A}{P_w}}\)
\(=\frac{30}{16}\\\\= 1.875 \ ft\)
In point d, Calculating the value of Reynolds's number.
\(\bold{Re =\frac{4VR}{v}}\)
\(=\frac{4V \times 1.875}{1 \times 10^{-5} \frac{ft^2}{s}}\\\\\)
\(=750,000 V\)
Calculating the velocity:
\(V= \sqrt{\frac{8gRS}{f}}\)
\(= \sqrt{\frac{8\times 32.2 \times 1.875 \times 0.02}{f}}\\\\=\frac{3.108}{\sqrt{f}}\\\\\)
\(\sqrt{f}=\frac{3.108}{V}\\\\\)
calculating the Cole-brook-White value:
\(\frac{1}{\sqrt{f}}= -2 \log (\frac{K}{12 R} +\frac{2.51}{R_e \sqrt{f}})\\\\ \frac{1}{\frac{3.108}{V}}= -2 \log (\frac{2 \times 10^{-2}}{12 \times 1.875} +\frac{2.51}{750,000V\sqrt{f}})\\\)
\(\frac{V}{3.108} =-2\log(8.88 \times 10^{-5} + \frac{3.346 \times 10^{-6}}{750,000(3.108)})\)
After calculating the value of V it will give:
\(V= 25.18 \ \frac{ft}{s^2}\\\)
In point a, Calculating the value of Froude:
\(F= \frac{V}{\sqrt{gD}}\)
\(= \frac{V}{\sqrt{g\frac{A}{\text{Width flow}}}}\\\)
\(= \frac{25.18}{\sqrt{32.2\frac{30}{6}}}\\\\= \frac{25.18}{\sqrt{32.2 \times 5}}\\\\= \frac{25.18}{\sqrt{161}}\\\\= \frac{25.18}{12.68}\\\\= 1.98\)
The flow is supercritical because the amount of Froude is greater than 1.
Calculating the channel flow rate.
\(Q= AV\)
\(=30x 25.18\\\\= 755.4 \ \frac{ft^3}{s}\\\)