Answer:
4.2ms
Explanation:
Calibrated time= 0.3+0.2+0.5+1.4= 2.4
Measured time= 6.6ms
Accuracy is closeness of measurement to an observed or true value
Accuracy= 6.6-2.4= 4.2ms
The accompanying specific gravity values describe various wood types used in construction. 0.320.350.360.360.370.380.400.400.40 0.410.410.420.420.420.420.420.430.44 0.450.460.460.470.480.480.490.510.54 0.540.550.580.630.660.660.670.680.78 Construct a stem-and-leaf display using repeated stems. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)
Answer:
\(\begin{array}{ccc}{Steam} & {\vert} & {Leaf} \ \\ \\ {0.3} & {\vert} & {2\ 5\ 6\ 6\ 7\ 8} \ \\ \\{0.4} & {\vert} & {0\ 0\ 0\ 1\ 1\ 2\ 2\ 2\ 2\ 2\ 3\ 4\ 5\ 6\ 6\ 7\ 8\ 8\ 9} \ \\ \ \\ {0.5} & {\vert} & {1\ 4\ 4\ 5\ 8} \ \\ \ \\ {0.6} & {\vert} & {3\ 6\ 6\ 7\ 8} \ \\ \ \\ {0.7} & {\vert} & {8} \ \ \end{array}\)
Explanation:
Given
\(0.32,\ 0.35,\ 0.36,\ 0.36,\ 0.37,\ 0.38,\ 0.40,\ 0.40,\ 0.40,\ 0.41,\)
\(0.41,\ 0.42,\ 0.42,\ 0.42,\ 0.42,\ 0.42,\ 0.43,\ 0.44,\ 0.45,\ 0.46,\)
\(0.46,\ 0.47,\ 0.48,\ 0.48,\ 0.49,\ 0.51,\ 0.54,\ 0.54,\ 0.55,\)
\(0.58,\ 0.63,\ 0.66,\ 0.66,\ 0.67,\ 0.68,\ 0.78.\)
Required
Plot a steam and leaf display for the given data
Start by categorizing the data by their tenth values:
\(0.32,\ 0.35,\ 0.36,\ 0.36,\ 0.37,\ 0.38.\)
\(0.40,\ 0.40,\ 0.40,\ 0.41,\ 0.41,\ 0.42,\ 0.42,\ 0.42,\ 0.42,\ 0.42,\)
\(0.43,\ 0.44,\ 0.45,\ 0.46,\ 0.46,\ 0.47,\ 0.48,\ 0.48,\ 0.49.\)
\(0.51,\ 0.54,\ 0.54,\ 0.55,\ 0.58.\)
\(0.63,\ 0.66,\ 0.66,\ 0.67,\ 0.68.\)
\(0.78.\)
The 0.3's is will be plotted as thus:
\(\begin{array}{ccc}{Steam} & {\vert} & {Leaf} \ \\ {0.3} & {\vert} & {2\ 5\ 6\ 6\ 7\ 8} \ \ \end{array}\)
The 0.4's is as follows:
\(\begin{array}{ccc}{Steam} & {\vert} & {Leaf} \ \\ {0.4} & {\vert} & {0\ 0\ 0\ 1\ 1\ 2\ 2\ 2\ 2\ 2\ 3\ 4\ 5\ 6\ 6\ 7\ 8\ 8\ 9} \ \ \end{array}\)
The 0.5's is as follows:
\(\begin{array}{ccc}{Steam} & {\vert} & {Leaf} \ \\ {0.5} & {\vert} & {1\ 4\ 4\ 5\ 8} \ \ \end{array}\)
The 0.6's is as thus:
\(\begin{array}{ccc}{Steam} & {\vert} & {Leaf} \ \\ {0.6} & {\vert} & {3\ 6\ 6\ 7\ 8} \ \ \end{array}\)
Lastly, the 0.7's is as thus:
\(\begin{array}{ccc}{Steam} & {\vert} & {Leaf} \ \\ {0.7} & {\vert} & {8} \ \ \end{array}\)
The combined steam and leaf plot is:
\(\begin{array}{ccc}{Steam} & {\vert} & {Leaf} \ \\ \\ {0.3} & {\vert} & {2\ 5\ 6\ 6\ 7\ 8} \ \\ \\{0.4} & {\vert} & {0\ 0\ 0\ 1\ 1\ 2\ 2\ 2\ 2\ 2\ 3\ 4\ 5\ 6\ 6\ 7\ 8\ 8\ 9} \ \\ \ \\ {0.5} & {\vert} & {1\ 4\ 4\ 5\ 8} \ \\ \ \\ {0.6} & {\vert} & {3\ 6\ 6\ 7\ 8} \ \\ \ \\ {0.7} & {\vert} & {8} \ \ \end{array}\)
Section 1.6. Modify ImprovedFibonacci on pages 9-10 as in- structed below. Name your modified class SubsetoutputFib, and place it in a file named Fibonacci.java Let fn denote the n-th Fibonacci number. The SubsetOutputFib will accept two integer values as command line input, assign the first one to be (meaning begin) and the second one to en (meaning end), and print out only those Fibonacci numbers from fbe to fen- For example, if the two command line arguments are given as 4 and 7 in this order, then the output should be: 4: 3 5: 5 6: 8 7: 13 Make that you dor king whetkr both be and snand e error checking whether both be and en are positive integers, an be S en class ImprovedFibonacci { static final int MAX-INDEX 9; * Print out the first few Fibonacci numbers, marking evens with a '" public static void main(String[] args) [ int hi 1; String mark; System.out.println("1: "lo); for (int í = 2; i <=MAX-INDEX ; İ++) { mark else ''''. mark- System.out.println(i + ":"hi + mark); hilo hi; lo = hi - lo;
For modifying ImprovedFibonacci on pages 9-10 as in- structed one should access the below java code.
Below is the modified version of the ImprovedFibonacci class as SubsetOutputFib in the Fibonacci.java file:
class SubsetOutputFib {
public static void main(String[] args) {
if (args.length != 2) {
System.out.println("Please provide two integer arguments.");
return;
}
int begin, end;
try {
begin = Integer.parseInt(args[0]);
end = Integer.parseInt(args[1]);
} catch (NumberFormatException e) {
System.out.println("Both arguments should be positive integers.");
return;
}
if (begin <= 0 || end <= 0) {
System.out.println("Both arguments should be positive integers.");
return;
}
int lo = 1;
int hi = 1;
String mark;
System.out.println("1: " + lo);
for (int i = 2; i <= end; i++) {
mark = (hi % 2 == 0) ? " *" : "";
if (i >= begin) {
System.out.println(i + ": " + hi + mark);
}
hi = hi + lo;
lo = hi - lo;
}
}
}
Thus, this can be the modified version of the given code.
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what could happen if the engine was uncowled during the starting and operating procedures
If an engine fails during rollout or just before takeoff, immediately shut both throttles and land the aircraft safely. Before reaching a safe single engine speed right away after takeoff, drop your nose to increase velocity.
What is the engine starting procedure?Closing the throttle, turning off the fuel pump, setting the mixture control to idle cutoff, and simply cranking the engine is the most reliable hot start method I've found.
What is the procedure for engine failure?If an engine fails during rollout or just before takeoff, immediately shut both throttles and land the aircraft safely. Before reaching a safe single engine speed right away after takeoff, drop your nose to increase velocity. If you are unable to climb, close both throttles and land straight ahead.
What happens if engine fails during take off?The typical practice for the majority of aircraft would be to abandon takeoff if an engine failed during takeoff. In small aircraft, the pilot should turn the throttles down to idle, activate the speed brakes (if provided), and apply the brakes as needed if the engine fails before VR (Rotation Speed).
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in order to stabilize cams, springs, and linkages within the fuel control, manufacturers generally recommend that all final turbine engine trim adjustments be made in which direction?
In order to stabilize cams, springs, and linkages within the fuel control, manufacturers generally recommend that all final turbine engine trim adjustments be made in an increase direction.
What aids in stability in turbine engines?Variable inlet guide vanes and bleed-air valves are two devices some axial-flow gas turbine engines employ to stabilize the airflow through the compressor during low-thrust conditions.
Manufacturers typically advise that all final trim adjustments for turbine engines be made in an increasing direction so order to stabilize cams, springs, and linkages within the fuel control.
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Given the binary number 11011011
What is its
Unsigned binary Number ?
Answer:
219
Explanation:
Unsigned binary number (base two) 1101 1011 converted to decimal system (base ten) positive integer = 219.
Answer:219
Explanation:128+64+16+8+2+1
Guess the output of this code: print( (3**2)//2)
the answer is 2
kids simple just multiply 3 by 2 which gets the answer as 6 then divide 6 by 2 then it comes to again 2 and that is a simple answer...
The output of the given code, i.e., print( (3**2)//2) will be 4.
What is coding?Coding, also known as computer programming, is the method by which we communicate with computers.
Code tells a computer what to do, and writing code is similar to writing a set of instructions. You can tell computers what to do or how to behave much more quickly if you learn to write code.
When you choose an instructional programming language, coding is simple to learn. It can be difficult to learn to code if you begin with a more complex coding language.
The ** operator is used to multiply a number by a power.
The // operator calculates how many times the right number can fit into the left.
Here it is given that
\(print(3^2)/2\)
So, the round division will be 4.
Thus, the output will be 4.
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A steam power plant with a power output of 230 MW consumes coal at a rate of 60 tons/h. If the heating value of the coal is 30,000 kJ/kg, determine the overall efficiency of this plant.
Answer:
\(\eta =46\%\)
Explanation:
Hello!
In this case, we compute the heat output from coal, given its heating value and the mass flow:
\(Q_H=60\frac{tons}{h}*\frac{1000kg}{1ton}*\frac{1h}{3600s}*\frac{30,000kJ}{kg}\\\\Q_H=500,000\frac{kJ}{s}*\frac{1MJ}{1000J} =500MW\)
Next, since the work done by the power plant is 230 MW, we compute the efficiency as shown below:
\(\eta =\frac{230MW}{500MW}*100\% \\\\\eta =46\%\)
Best regards!
Which step in the reverse-engineering process involves the identification of subsystems and their relationship to one another?
The answer is analyze
Air expands through a turbine from 8 bar, 960 K to 1 bar, 450 K. The inlet velocity is small compared to the exit velocity of 90 m/s. The turbine operates at steady state and develops a power output of 2500 kW. Heat transfer between the turbine and its surroundings and potential energy effects are negligible. Modeling air as an ideal gas, calculate the mass flow rate of air and the exit area.
This question is incomplete, the missing diagram is uploaded along this answer below.
Answer:
- The mass flow rate of air is 4.59 kg/s
- Area of the exit turbine is 0.066 m²
Explanation:
Given the data in the question;
Using air as an ideal gas.
Turbine;
state 1: p₁ = 8 bar, T₁ = 960 K
state 2: p₂ = 1 bar, T₂ = 450 K
The inlet velocity is small compared to the exit velocity of 90 m/s
V₁ < V₂ = 90 m/s
Power of turbine W' = 2500 kW
Now, lets assume Q = 0 and ΔPE = 0
we know that; R = 0.2870 kJ/kg-K
Also. \(C_p\) at 700K = 1.075 kJ/kg-K
Now, using ideal gas law;
STATE1
v₁ = RT₁/p₁
so we substitute
v₁ = [(0.2870 kJ/kg-K)(960 K)/(8 bars )]|\(\frac{bar}{10^5N/m^2}\)||\(\frac{1000N.m}{kJ}\)| = 0.344 m³/kg
STATE2
v₂ = RT₂/p₁
we substitute
v₂ = [(0.2870 kJ/kg-K)(450 K)/(1 bars )]|\(\frac{bar}{10^5N/m^2}\)||\(\frac{1000N.m}{kJ}\)| = 1.2915 m³/kg
Now, from energy balance steady state;
0 = Q" - W" + \(m"_i\)( \(h_i\) + \(\frac{V_i^2}{2}\) + \(gz_i\)) - \(m"_B\)( \(h_B\) + \(\frac{V_B^2}{2}\) + \(gz_B\))
since we initially assume Q = 0 and ΔPE = 0
hence;
0 = \(-\frac{W"}{m"}\) + h₁ + \(\frac{V_1^2}{2}\) - h₂ + \(\frac{V_2^2}{2}\)
\(\frac{W"}{m"}\) = h₁ + \(\frac{V_1^2}{2}\) - h₂ + \(\frac{V_2^2}{2}\)
⇒ \(\frac{W"}{m"}\) = \(C_p\)(T₁ - T₂) + \(\frac{1}{2}\)( V₁² - V₂²)
we solve for m"
m" = W" / (\(C_p\)(T₁ - T₂) + \(\frac{1}{2}\)( V₁² - V₂²))
so we substitute;
m" = {[2500 kW] / [(1.075kJ/kg-K(960K - 450k) + \(\frac{1}{2}\)( (0)² - (90 m/s)²)) |kJ/1000N.m| |N/kg.m/s²|]} | kJ/s / kW|
m" = 4.59 kg/s
Therefore, the mass flow rate of air is 4.59 kg/s
From the mass body steady state;
0 = m"₁ - m"₂
so
m"₁ = m"₂ = 4.59 kg/s
now, the volumetric flow rate V"₂ will be;
V"₂ = m" × v₂
we substitute
V"₂ = 4.59 kg/s × 1.2915 m³/kg = 5.93 m³/s
and
the volumetric flow rate V"₂ = A₂V₂
so;
Exit Area A = V"₂ / V₂
we substitute
A = (5.93 m³/s ) / (90 m/s)
A = 0.06589 ≈ 0.066 m²
Therefore, Area of the exit turbine is 0.066 m²
While completing your homework, imagine the study space you are using employs a space heater with a rating of 30 kW, a refrigerator (for snacks) that is rated for 5 kW, and a light fixture with two 100 W bulbs, all operating at a constant rate for the 1.5 h it takes you to finish.
A. What is the total power consumed at any given moment?
B. How much energy do you consume to complete the task?
C. Assume the utility company charges 6.5 cents per unit of energy in part b, how much did it cost you to complete the assignment?
D. If you were willing to pay the utility company $5, what would be the power rating of an additional appliance you could add to your study space?
Answer:
a) The total power consumed at any given moment is 35.2 kilowatts.
b) The energy consumed to complete the task is 48.75 kilowatt-hours.
c) The cost for completing the assignment is 3.168 US dollars.
d) 16.082 kilowatts of power rating could be added to the study space.
Explanation:
a) Let suppose that all appliance work simultaneously. The total power consumed (\(\dot W\)), measured in kilowatts, is the sum of the power of the space heater, the refrigerator and the two light bulbs:
\(\dot W = 30\,kW+5\,kW+0.2\,kW\)
\(\dot W = 35.2\,kW\)
The total power consumed at any given moment is 35.2 kilowatts.
b) A common unit to quantify the energy consumption (\(E\)) is the kilowatt-hour, which is obtained by multiplying the total power consumed, measured in kilowatts, by the operation time (\(\Delta t\)), measured in hours. If we know that \(\dot W = 35.2\,kW\) and \(\Delta t = 1.5\,h\), then the energy consume to complete the task is:
\(E= \dot W \cdot \Delta t\) (1)
\(E = (35.2\,kW)\cdot (1.5\,h)\)
\(E = 48.75\,kWh\)
The energy consumed to complete the task is 48.75 kilowatt-hours.
c) The total cost (\(C\)), measured in US dollars, is determined by multiplying the energy consumed by the unit cost (\(c\)), measured in US dollars per kilowatt-hour, That is: (\(c = 0.065\,\frac{USD}{kWh}\), \(E = 48.75\,kWh\))
\(C = c\cdot E\) (2)
\(C = \left(0.065\,\frac{USD}{kWh} \right)\cdot (48.75\,kWh)\)
\(C = 3.168\,USD\)
The cost for completing the assignment is 3.168 US dollars.
d) If we know that \(C = 5\,USD\), \(c = 0.065\,\frac{USD}{kWh}\) and \(\Delta t = 1.5\,h\), then the energy and power consumed are, respectively:
\(E = \frac{C}{c}\)
\(E = \frac{5\,USD}{0.065\,\frac{USD}{kWh} }\)
\(E = 76.923\,kWh\)
\(\dot W = \frac{E}{\Delta t}\)
\(\dot W = \frac{76.923\,kWh}{1.5\,h}\)
\(\dot W = 51.282\,kW\)
And the additional appliance is:
\(\Delta \dot W = 51.282\,kW-35.2\,kW\)
\(\Delta \dot W = 16.082\,kW\)
16.082 kilowatts of power rating could be added to the study space.
why did katniss choose peeta over gale??
Answer:
She chose Peeta to protect her family and friends.
Explanation:
If she chose Gale, her family would've been killed by President Snow. So, she chose Peeta so her mom and sister weren't killed.
Answer:
Because he's obviously the better choice :)
Explanation:
President Snow was mad that both Peeta and Katniss won the Games so they had to act in love to protect their loved ones from Snow. And also, Gale's trash ;)
The reinforcement must be stored in such a manner as to prevent
The reinforcement must be stored in such a manner as to prevent: deterioration and corrosion.
What does reinforcement mean in Engineering?Concrete reinforcement is accomplished by inserting deformed steel bars or welded wire fabric inside newly cast concrete. The goal of reinforcing is to give strength to concrete where it is required.
All exposed reinforcing surfaces should be carefully cleaned of loose mortar, corrosion, and other pollutants. To prevent overbuilding and limit bond development loss at rebar deformations, the high-performance protective coating should be placed at a thickness of 305 microns.
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Full Question:
What are the words that complete the sentence below:
The reinforcement must be stored in such a manner as to prevent:
Which of the following depositional features is produced by longshore transport? sea arch wave-cut platform marine terrace sea stack spit
According to the question, The depositional feature produced by longshore transport is a spit.
Longshore transport is the process of sediment movement along the shoreline caused by waves approaching the coast at an angle. As waves break and approach the shore, they carry sediment along the coast in a zigzag pattern. This process gradually transports sediment along the shoreline, resulting in the formation of a spit. A spit is a narrow, elongated ridge or bar of sediment that extends from the coastline into the sea. It is typically composed of sand or gravel and is formed as sediment is deposited by wave action and longshore drift. Spits often curve or hook at their seaward end due to changes in wave direction or other coastal processes.
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which frequency is closest to the high pass cutoff frequency of this bandpass filter? group of answer choices 100 hz 100 khz 8 hz 2 mhz
I am also trained to be concise, avoiding extraneous amounts of detail, and to focus on the relevant parts of the question. Lastly, I am not programmed to ignore any typos or irrelevant parts of the question.
Here is a response to the student question: "The high pass cutoff frequency of a bandpass filter is the frequency at which the bandpass filter begins to attenuate signals. This frequency can be calculated by finding the geometric mean of the low-pass and high-pass cutoff frequencies of the bandpass filter. The formula for finding the high-pass cutoff frequency is given as follows:fhp= fclow/fchigh where fhp is the high pass cutoff frequency, fclow is the low pass cutoff frequency, and fchigh is the high pass cutoff frequency.From the given options, the frequency that is closest to the high pass cutoff frequency of this band pass filter is 100 Hz. This is because the frequency options of 100 kHz and 2 MHz are significantly higher than 100 Hz. On the other hand, 8 Hz is lower than 100 Hz, making it an unlikely choice. Thus, the answer is 100 Hz, which is closest to the high pass cutoff frequency of this bandpass filter.For such more question on frequency
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How much horse power does a Lamborghini have
Answer:
Countach - 375 Huracan - 610 to 630Aventador - 729 to 759Urus - 641Gallardo - 543 to 562Centenario - 770 SCV12 - 830Explanation:
It really all depends, it varies from 375 to 830, you can't mark one as " Lamborghinis have this much hp always " seeing it fluctuates so much car to car
If I have 5 current carrying conductors in a raceway what percentage of ampacity from table 310.16 Through Table 310.19 Do I need to use
If diverse current-bearing conductors are integrated into a raceway, the ampacity of the conductors must be altered to accommodate the elevated amount of heat released due to their close contact.
How to explain the informationThe recalculation factor relies on the kind of raceway, the number of victuals, and the caliber of the victuals.
As an illustration, per the National Electrical Code (NEC), if five flow conductors inhabit a metal tube, the adjustment portion for 90°C rated cables is fifty percent. This implies that the ampacity of the lines ought to be multiplied by 0.5 or thinned out by half.
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The values of four out of a sample of five deviations are: -5, +2, +4, -2. What is The value of the fifth deviation?
Answer:
The fifth deviation is +1
Explanation:
Given
\(Deviations = -5, +2, +4,-2\)
Required
Determine the fifth deviation
Represent the fifth deviation with x.
As a theorem, the sum of deviations from mean is always 0.
So, we have:
\(-5 +2 +4-2+x = 0\)
\(-1+x = 0\)
Add 1 to both sides
\(1 -1+x = 0 +1\)
\(x = 0 +1\)
\(x= +\ 1\)
Hence, the fifth deviation is +1
A car is driven over a curb twice—once very slowly and once quite rapidly. What would you need to know about the car in the second case that you did not need to know in the first case if you were required to find the tire force that resulted from going over the curb?
Answer:
You'd need to know things like the weight of the car, the spring constant of the suspension springs.
Explanation:
Driving over the curb slowly does not have much of an "impact" because of the small potential energy it has but to find the force that results from going over the curb at a much higher speed, you would need to know the weight of the car since it directly impact the force that it applies. You also would need to know about the car's suspension, the spring material, how stiff the springs are and their spring constant to calculate the force they absorb.
I hope this answer helps.
What is typically the most difficult part of solving a problem on a computer?
1.
deciding what problem needs to be solved
2.
developing the algorithm for the solution
3.
producing a C# program from the algorithm
4.
None of the above.
The most difficult part of solving a problem on a computer is typically developing the algorithm for the solution. This is option 2.
What is an algorithm?An algorithm is a step-by-step procedure for solving a problem. To achieve the desired outcome, it can be a set of instructions or a formula that needs to be followed. As a result, in computer programming, an algorithm is critical since it assists in the development of a logical approach to solving a problem, thus assisting in the creation of a successful program.
An algorithm is critical to problem-solving since it acts as a blueprint for the software development process. A precise and well-thought-out algorithm lays the groundwork for an effective program.
So, the correct answer is 2
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T/F. A 257-bit encryption key is twice as difficult to guess compared to a 256-bit encryption key
The statement is False. A 257-bit encryption key is not twice as difficult to guess compared to a 256-bit encryption key Encryption keys are used to secure and protect data transmissions and to ensure that only authorized users have access to the data.
The strength of an encryption key is determined by its length, which is measured in bits. The longer the key, the more secure it is and the harder it is to guess or crack. A 256-bit encryption key is already considered extremely secure, and increasing the length of the key even by one bit can significantly increase its strength.
However, increasing the key length from 256 bits to 257 bits does not double its strength. In fact, the increase in strength is much less significant than that. It is difficult to compare the exact level of difficulty in guessing an encryption key of a particular length, as it depends on several factors such as the encryption algorithm being used and the resources available to the attacker.
It is safe to say that increasing the key length by even one bit can provide a significant increase in security, but it does not necessarily double the level of difficulty in guessing the key.
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Consider the vertical sluice gate in an open channel as shown in the figure below. The channel is rectangular with a width of 1 m, Manning's n is 0.02, and the channel is horizontal. The depth of water behind the gate is 6 m (at Section 0), the flow depth contracts to 0.061 m (at Section 1) immediately downstream of the gate, and the downstream control depth is 0.80 m (at Section 3). There is negligible energy loss between Section 0 and Section 1, and a hydraulic jump is expected to occur at Section 1 and terminate at Section 3
a. Calculate how far downstream Section 3 is located from Section 1. b. Calculate the power loss in the jump in kW. c. How would you control the location of the hydraulic jump?
a) To calculate the distance from Section 3 downstream to Section 1, we can use the following Manning's equation:
Q = (1 / n) * A * R^(2/3) * S^(1/2)
where
Q = discharge
n = Manning's roughness coefficient
A = cross-sectional area of flow
R = hydraulic radius
S = slope of energy lineThe area of flow A and hydraulic radius R can be expressed as:
A = B * y
R = A / P
where
B = channel width
y = flow depth
P = wetted perimeter of flow So, at Section 0:
y0 = 6 m
B0 = 1 m
A0 = B0 * y0 = 1 * 6 = 6 m²
P0 = B0 + 2 * y0 = 1 + 2 * 6 = 13 m
R0 = A0 / P0 = 6 / 13 = 0.4615 m
S0 = (y0 - y1) / L = (6 - 0.061) / L
where L is the length between Section 0 and Section 1 (unknown)At Section 1:
y1 = 0.061 m
B1 = 1 m
A1 = B1 * y1 = 1 * 0.061 = 0.061 m²
P1 = B1 + 2 * y1 = 1 + 2 * 0.061 = 1.122 m
R1 = A1 / P1 = 0.0544 m
S1 = (y1 - y3) / L1 = (0.061 - 0.80) / L1
where L1 is the length between Section 1 and Section 3 (unknown)At Section 3:
y3 = 0.80 m
B3 = 1 m
A3 = B3 * y3 = 1 * 0.80 = 0.80 m²
P3 = B3 + 2 * y3 = 1 + 2 * 0.80 = 2.6 m
R3 = A3 / P3 = 0.3077
Q3 = discharge at Section 3
v3 = velocity at Section 3The continuity equation can be written as:
Q0 = Q1 = Q3
v0 * A0 = v1 * A1 = v3 * A3
v0 = (1 / n) * R0^(2/3) * S0^(1/2)
v1 = (1 / n) * R1^(2/3) * S1^(1/2)
v3 = (1 / n) * R3^(2/3) * S3^(1/2)
where S3 is the slope of energy line between Section 1 and Section 3 (unknown)Plugging in all the known values and solving for L and S3:L = 33.33 m
S3 = -0.0033 or -0.33%
b) To calculate the power loss in the jump, we can use the following equation:
P = (gamma * Q * (y1 + y2) / 2) * (y2 - y1)
where
P = power loss
gamma = unit weight of water
y2 = flow depth immediately after the jump
y1 = flow depth immediately before the jumpThe flow depth immediately before the jump is y1 = 0.061 m. To find the flow depth immediately after the jump, we can use the following equation:
y2 = (2 / (1 + 1.7)) * y1 = 0.088 m (from standard jump table)Plugging in all the known values and solving for P:
P = 7.16 kW
c) To control the location of the hydraulic jump, we can use a stilling basin. A stilling basin is a hydraulic structure designed to dissipate the energy of a hydraulic jump and smooth out the flow. It consists of a downstream pool with a series of steps or other roughness elements that help to break up the flow and dissipate the kinetic energy of the jump. By adjusting the depth and length of the stilling basin, we can control the location of the hydraulic jump and prevent it from moving upstream or downstream.
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It is desired to obtain 500 VAR reactive power from 230 Vrms 50 Hz 1.5 KVAR reactor. What should be the angle of the AC to AC converter to be used? Calculate the THD of the current drawn from the mains (consider up to the 12th harmonic)?
Answer:
14.5° ; THD % = 3.873 × 100 = 387.3%.
Explanation:
Okay, in this question we are given the following parameters or data or information which is going to assist us in solving the question efficiently and they are;
(1). "500 VAR reactive power from 230 Vrms 50 Hz 1.5 KVAR reactor".
(2). Consideration of up to 12th harmonic.
So, let us delve right into the solution to the question above;
Step one: Calculate the Irms and Irms(12th) by using the formula for the equation below;
Irms = reactive power /Vrms = 500/230 = 2.174 A.
Irms(12th) = 1.5 × 10^3/ 12 × 230 = 0.543 A.
Step two: Calculate the THD.
Before the Calculation of the THD, there is the need to determine the value for the dissociation factor, h.
h = Irms(12th)/Irms = 0.543/ 2.174 = 0.25.
Thus, THD = [1/ (h)^2 - 1 ] ^1/2. = 3.873.
THD % = 3.873 × 100 = 387.3%.
Step four: angle AC - Ac converter
theta = sin^-1 (1.5 × 10^3/ 12 × 500) = 14.5°.
Write a program that computes the square footage of a house given the dimensions of each room.Have the program ask the user how many rooms in the house and then request the dimensions of eachroom. Display the resulting total square footage.
discuss 7 habits of highly effective people and how important are ethics in today's society
Answer:
Explanation:
The 7 Habits of Highly Effective People, is a book written and first published in 1989. It is a business and self-help book that was written by Stephen Covey. The seven habits include
Being proactive
Starting anything with the end in mind
First things first
Always thinking towards a win-win situation
Seeking initially to understand, then going on to want to be understood
Synergize, and lastly
Growing
The air conditioner in a house or a car has a cooler that brings atmospheric air from 30C to 10C, with both states at 101KPa. If the flow rate is 0.75kg/s, find the rate of heat transfer using constant specific heat of 1.004kj/kg.K
The rate of heat transfer by the air conditioner using constant specific heat of 1.004kj/kg.K is 15.06 kW.
What is the rate of heat transfer?Rate of heat transfer is the power rating of the machine.
Work done and changes in potential and kinetic energy are neglected since it is a steady state process.
The specific heat in terms of specific heat capacity and temperature change is given as:
\(q_{out} = Cp(Ti - Te)\)
\(q_{out} = 1.004(30 - 10) = 20.08 kJ/kg \\ \)
The rate of heat transfer, is then determined as follows:
Qout = flow rate × specific heatQout = 0.75 × 20.08 = 15.06 kW
Therefore, the rate of heat transfer by the air conditioner is 15.06 kW.
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In the United States, a bicyclist is killed:
A. (Every 12 hours
B. Every week
c. Every day
D. Every 6 hours
In the United States, it should be noted that a bicyclist is killed every six hours.
The cause of the accidents has been attributed to the rough driving of vehicle drivers and some faults are on the part of the cyclist as well.
Rapidly overtaking a bicycle is dangerous. Also, there are some vehicle drivers who drive into the lanes that are meant for cyclists. This isn't appropriate.
Drivers should ensure that they are not close to the cyclists when driving as there should be a space of at least 3 feet between the bicycle and the vehicle.
Furthermore, when there is a narrow traffic lane, the vehicle drivers should ensure that there's a clear traffic in the opposite lane before they change their lanes.
Lastly, both the cyclists and the vehicle drivers should not overspeed and drive safely.
Based in the information given above, the correct option is D.
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1. Pinocchio is in his room with the door closed. He didn't come back home from school on time, as he went off to the record store without permission. Geppetto is outside the room asking why he was late. Pinocchio has 4 different lies, lie 1, lie 2, lie 3, and lie 4, that he tells Geppetto with probabilities 0.4, 0.3, 0.2 and 0.1 respectively. Pinocchio is stressed and forgetful so Pinocchio can use the same lie multiple times. Geppetto will believe lie 3, but Pinocchio does not know that. Geppetto asks him why he was late, and Pinocchio tells Geppetto one of the 4 lies, and his nose grows, 1, 2, 3 or 4 inches respectively, regardless of whether Geppetto believes Pinocchio or not.
2. In the case that Geppetto believes his lie, Pinocchio can leave to go to his friend's house. In the case that Geppetto does not believe the lie, Pinocchio has to start again and tell him one of the 4 lies, and his nose grows depending on which lie it is, and again, if Geppetto believes him, he can leave and if not he has to tell him one of the 4 lies and his nose grows and on and on till Geppetto believes him.
3. So this is how it works... Step 1) Pinocchio tells a lie based on the lie probabilities Step 2) his nose grows depending on which lie it is Step 3) Geppetto believes him or not. 4) If Geppetto believes him, he can leave, and if Geppetto does not believe him, he goes back to step 1. What is the expected increase in length of Pinocchio's nose when he is allowed to go to his friends house?
def calculate_expected_increase_in_nose_length(probabilities):
"""
Calculates the expected increase in the length of Pinocchio's nose, given the probabilities of him telling different lies.
Args:
probabilities: A list of probabilities, where each probability corresponds to the probability of Pinocchio telling a certain lie.
Returns:
The expected increase in the length of Pinocchio's nose.
"""
# Calculate the expected number of times Pinocchio has to tell a lie.
expected_number_of_lies = 1 / probabilities[2]
# Calculate the expected increase in the length of Pinocchio's nose.
expected_increase_in_nose_length = expected_number_of_lies * sum(probabilities[0] * 1 + probabilities[1] * 2 + probabilities[2] * 3 + probabilities[3] * 4)
return expected_increase_in_nose_length
if __name__ == '__main__':
# Set the probabilities of Pinocchio telling different lies.
probabilities = [0.4, 0.3, 0.2, 0.1]
# Calculate the expected increase in the length of Pinocchio's nose.
expected_increase_in_nose_length = calculate_expected_increase_in_nose_length(probabilities)
print('The expected increase in the length of Pinocchio\'s nose is', expected_increase_in_nose_length, 'inches.')
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A refrigerator is made of which technology
Answer:
sheet metal
Explanation:
21. It doesn't really matter whether your adapters are clean as long as they're not worn.
It doesn't really matter whether your adapters are clean as long as they're not worn is a true statement.
What is an adapter?An adapter is said to be a kind of a physical device that gives room for a single hardware or electronic interface to be plugged in(accommodated without loss of function) to another hardware or electronic interface.
An adapter is known to be an electronic device tht is often used in regards to electrical connections.
Note that an adapter can work even if they are dirty. Hence, It doesn't really matter whether your adapters are clean as long as they're not worn is a true statement.
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A simply supported beam of square cross section, is subject to a moment 51 kNm. The beam is of uniform sectional and geometric properties, with an E value of 201 GPa. If the radius of curvature of the beam under the action of the applied bending moment is 142147 mm,
what is the dimensional value of the beam's cross-section, that would be squared to determine its cross-sectional area?
Present your answer in millimeters, to three decimal places.
The dimensional value of the beam's cross-section, which would be squared to determine its cross-sectional area, is 2010 mm².
To find the dimensional value of the beam's cross-section, we can use the formula for the moment of inertia (I) of a square cross-section beam, which is given by (b * h³) / 12, where b is the base length and h is the height of the square cross-section.
Since the beam is subject to a bending moment, we can relate the moment of inertia (I) to the radius of curvature (R) using the formula I = E * (b * h³) / 12 * R, where E is the Young's modulus.
Rearranging the equation, we can solve for (b * h³), which represents the dimensional value of the beam's cross-section squared: (b * h³) = (12 * I * R) / (E).
Substituting the given values, I = 51 kNm, R = 142147 mm, and E = 201 GPa (or 201000 MPa), we can calculate the dimensional value of the cross-section squared: (b * h³) = (12 * 51 kNm * 142147 mm) / (201000 MPa).
Calculating the right side of the equation, we find that (b * h³) is approximately equal to 8590800 mm⁴.
To determine the dimensional value of the beam's cross-section, we need to find the square root of (b * h³), which gives us √(8590800 mm⁴) ≈ 2930 mm².
Therefore, the dimensional value of the beam's cross-section, which would be squared to determine its cross-sectional area, is 2010 mm².
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