Given acceleration a = 5-3t, and its velocity is 7 at time t = 2, the value of s2 - s1 = 7
How to solve for the value of s2 - s1
We have
= [tex]\frac{dv}{dt} =v't = 5-3t\\\\\int\limits^a_b {v'(t)} \, dt[/tex]
[tex]= \int\limits^a_b {(5-3t)} \, dt[/tex]
[tex]5t - \frac{3t^2}{2} +c[/tex]
v2 = 5x2 - 3x2 + c
= 10-6+c
= 4+c
[tex]s(t) = \frac{5t^2}{2} -\frac{t^3}{2} +3t + c[/tex]
S2 - S1
[tex]=(5*\frac{4}{2} -\frac{8}{2} +3*2*c)-(\frac{5}{2} *1^2-\frac{1^2}{2} +3*1*c)[/tex]
= 6 + 6+c - 2+3+c
12+c-5+c = 0
7 = c
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A small PWR plant operates at a power of 485 MWt. The core, which is approximately 75.4 in. in diameter and 91.9 in. high, consists of a square lattice of 23,142 fuel tubes of thickness 0.021 in. and inner diameter of 0.298 in. on a 0.422-in. pitch. The tubes are filled with 3.40 w/o-enriched The core is cooled by water, which enters at the bottom at and passes through the core at a rate of at 2,015 psia. Compute (a) the average temperature of the water leaving the core; (b) the average power density in kW/liter; (c) the maximum heat production rate, assuming the reactor core is bare.
Based on the calculations, the average temperature of the water leaving this core is equal to 531.11 Btu/lb.
How to calculate the average temperature of the water.Since the core is cooled by water, which enters at the bottom at 496°F, the heat input ([tex]h_{in}[/tex]) would be equal to 483.02 Btu/lb based on the steam table.
Given the following data:
Power = 485 MWt to Btu/hr = 1.635 × 10⁹ Btu/hr.Diameter = 75.4 in.Height = 91.9 in.Thickness = 0.021 in. Inner diameter = 0.298 in.Pitch = 0.422-in. Work done = 34 × 10⁶ lb/hr.Substituting the given parameters into the formula, we have;
[tex]h_{out}= \frac{q}{w} + h_{in}\\\\h_{out}= \frac{1.635 \times 10^9}{34 \times 10^6} + 483.02\\\\h_{out}= 48.09 + 483.02\\\\h_{out}= 531.11\;Btu/lb[/tex]
How to calculate the average power density.First of all, we would determine the area of this core by using this formula:
Area = πd²/2
Area = 3.142 × (0.298/2)²
Area = 0.0698 in².
Mathematically, the average power density is given by:
[tex]q_{av}=\frac{q}{W} =\frac{q}{\pi A^2H \times 23142} \\\\q_{av}=\frac{485 \times 10^3}{3.142 \times 0.0698^2 \times 91.9 \times 0.01639 \times 23142} \\\\q_{av}=199.5\;kW/liter.[/tex]
How to calculate maximum heat production rate.In this scenario, we would assume the reactor core is bare. Thus, the heat is given by:
[tex]q(0) = \frac{2.32PE_1}{HE_R} \\\\q(0) =\frac{2.32 \times 485 \times 180}{23142 \times 200} \\\\q(0) =0.044 \;MW = 1.5 \times 10^8 \;Btu/hr^2[/tex]
For the maximum heat production rate, we have:
[tex]q_{max}=\frac{q(0)}{2HA^2} \\\\q_{max}=\frac{1.5 \times 10^8}{2 \times (\frac{75.4}{2} \times \frac{1}{12}) \times (\frac{0.298}{2} \times \frac{1}{12})} \\\\q_{max}=\frac{1.5 \times 10^8}{2 \times 3.1417 \times 0.00124} \\\\q_{max}=\frac{1.5 \times 10^5}{0.007791416}\\\\q_{max}=1.55 \times 10^8 \;Btu/hr.ft^3[/tex]
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why do kitchen cabinets bathtubs and attic openings require special framing details
A blue and a yellow cubes are rolled- What is the probability that a yellow cube is a multiple of 3 and the product is 6?
Answer:
2/6 cause there is 2 ways to get 6, 6 × 1 and 3×2 and 6 and 3 are multiples of 3
Compute the theoretical density of diamond given that the C-C distance and bond angle are 0.154 nm and 109.5o, respectively. The atomic weight of carbon is 12.01 g/mol.
The theoretical density of diamond given that the C-C distance and bond angle are 0.154 nm and 109.5° respectively is; 3.54 g/cm³
What is the Theoretical Density?
The first thing we will do is to get the unit cell edge length from the given C - C distance.
From the structure of diamond;
Φ = ¹/₂ * bond angle
Φ = ¹/₂ * 109.5°
Φ = 54.75°
Thus;
θ = 90° - 54.75°
θ = 35.25°
Let the height from a point to the base of the cube of the structure be x. Thus;
x = a/4 = y sin θ
where a is unit cell edge length and y is C -C length. Thus;
a = 4y sin θ
a = 4 * (0.154 * 10⁻⁹) * sin 35.25°
a = 3.56 * 10⁻⁸ cm
The unit cell volume is;
V_c = a³
Thus; V_c = (3.56 * 10⁻⁸)³
V_c = 4.51 * 10⁻²³ cm³
Now, there are 8 equivalent atoms per unit cell and as such density is calculated from;
ρ = (n * A_c)/(V_c * N_a)
A_c is atomic weight of diamond = 12.01 g/mol
N_a is avogadro's number = 6.022 * 10²² atoms/g
Thus;
ρ = (8 * 12.01)/(4.51 * 10⁻²³ * 6.022 * 10²²)
ρ = 3.54 g/cm³
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NEED HELPASAP what is the moisture content of a board if a test sample that originally weighed 11. 5 oz was found to weigh 10 oz after oven drying?
Answer:
11.5-10/10= 0.15x100 =15%
Explanation:
The moisture content of the board is 13.04% as per the given data.
What is moisture content?Simply said, a product's moisture content is its water content. It affects a substance's weight, density, viscosity, conductivity, and other physical characteristics.
The original weight of the test sample was 11.5 oz, and the weight of the sample after oven-drying was 10 oz.
The amount of moisture lost during the oven-drying process is equal to the original weight of the sample minus the weight of the sample after drying, or:
11.5 oz - 10 oz = 1.5 oz
To calculate the moisture content, you then divide the amount of moisture lost by the original weight of the sample and multiply by 100 to express the result as a percentage:
(1.5 oz / 11.5 oz) x 100% = 13.04%
Thus, the moisture content of the board is 13.04%.
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An undeformed specimen of some alloy has an average grain diameter of 0.040 mm. You are asked to reduce its average grain diameter to 0.010 mm. Is this possible
Answer:
Yes it is possible. Grain size is often determined by the rate so Firstly reduce the average grain diameter of an undeformed alloy specimen form 0.040 mm to 0.10mm
Select three jobs that ſvould be undertaken by someone just starting his or her career as an environmental
engineer.
designing a renewable water system in a remote area
designing a bridge that will cross a major river
designing a building that can withstand a massive earthquake
designing a car that emits less carbon emissions than previously designed automobiles
designing a greenhouse to reduce pollution and provide food
Answer:
1 and 2 and 3
Explanation:
4. When the ESC system senses oversteer,
A) the brake at the inner rear or front wheel is applied to neutralize the oversteering
B) the brake at the outer corner rear or front wheel is applied to neutralize the oversteering
State kirchoffs laws
Explanation:
Kirchhoffs Voltage Law or KVL, states that “in any closed loop network, the total voltage around the loop is equal to the sum of all the voltage drops within the same loop” which is also equal to zero. In other words the algebraic sum of all voltages within the loop must be equal to zero.
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEIn order for communication to be considered two-way, _________ is necessary a. channel b. message c. noise d. feedback e. circuit
Answer:
the answer c or e or do wha t the first guy do
Which sentence from the passage uses passive voice?
Question 9 options:
a)
E-books also make reading easier for people with disabilities. (paragraph 12)
b)
M.K. sees it another way. (paragraph 16)
c)
In one year, e-reader production released 2350 million kilograms of carbon dioxide into the atmosphere. (paragraph 8)
d)
The Diamond Sutra was printed in China in 868 AD. (p
Answer:
"The Diamond Sutra was printed in China in 868 AD." (paragraph 4)
Explanation:
I took the test
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0. 5 kilograms. The company wishes to test the hypothesis H0:μ=12 against H1:μ<12 using a random sample of n=4 specimens. Calculate the P-value if the observed statistic is x⎯⎯=11. 25. Suppose that the distribution of the sample mean is approximately normal. Round your final answer to five decimal places (e. G. 98. 76543). Enter your answer in accordance to the question statement
Answer:
The p-value of the hypothsis 0.00135
Explanation:
The machine language file is loaded onto the robot where the files can run test written as part of the program called __________________.
Answer:
C++ and Python
Explanation:
C++ and Python
A plant has ten machines and currently operates two 8-hr shift per day, 5 days per week, 50 weeks per year. the ten machines produce the same part each at a rate of 30 pc/hr. (a) determine annual production capacity of this plant. (b) if the plant were to operate three 8-hr shifts per day, 6 days per week, 51 weeks per year, determine the annual percentage increase in plant capacity
Answer:
83.6%
Explanation:
(a)On its current schedule, the plant can theoretically produce ...
(30 pc/h/machine)(10 machine)(8 h/shift)(2 shift/day)(5 day/wk)(50 wk/yr)
= (30)(10)(8)(2)(5)(50) pc/yr = 1,200,000 pc/yr
__
(b)On the proposed schedule, this production becomes ...
(30 pc/mach)(10 mach)(8 h/sh)(3 sh/da)(6 da/wk)(51 wk/yr)
= (30)(10)(8)(3)(6)(51) pc/yr = 2,203,200 pc/yr
The increase in capacity is ...
(2,203,200/1,200,000 -1) × 100% = 83.6% . . . capacity increase
_____
Additional comment
The number of parts per shift did not change. Only the number of shifts per year changed. It went up by a factor of (3/2)(6/5)(51/50) = 1.836. Hence the 83.6% increase in capacity.
We have to assume that maintenance and repair are done as effectvely as before in the reduced down time that each machine has.
Select the correct answer. Which of the following devices is a simple machine? A.
an engine
B.
a pulley
C.
a motor
D.
a bicycle
E.
a crane
Answer:
A Pulley would be a simple machine.
Explanation:
A pulley has only has one kind of movement
Answer:
a pulley
Explanation:
letter B.
Tech A says that a parasitic draw is measured in volts. Tech B says that pulling fuses one at a time can help locate a parasitic draw. Who is correct
Answer:
Tech B
Explanation:
A length of pipe is 6.8 meters long. How many 1.5-meter lengths of pipe can be cut from that one length of pipe?
6.8÷1.5 = 4.53...
So, it's 4 pipe with some left over.
Hope this helps!
what causes your car to eventually slow down and stop when you take your foot off the gas pedal
6.
How has technology has allowed humans to thrive?
by playing an important role in evolution
by creating tools that make human life easier
by changing the structure of the human body
by inspiring healthy competition among people
8.
Mechanical engineer Junee is switching sub-fields. She’s interested in creating better artificial limbs for injured veterans and others who need them. What specialty is Junee moving into?
electronic
structural
biotechnological
robotics
In what way is a parallel circuit different from a series circuit?
Which of these processes uses a die and a press to form parts?
A) Stamping
B) Tailor-rolling
C) Hydroforming
D) Tailor-welding
The process of die forming that uses a die and a press to form parts from the given processes is called; C: Hydroforming
What are some of the steps in the die forming operations?
There are different types of die forming in sheet metal operations. Now, Hydroforming is a specialized type of die forming that uses a high pressure hydraulic fluid to press room temperature working material into a die.
Tailor Welding is a process of making welded blanks made from individual sheets of steel of different thickness, strength and even coating that are joined together by the use of laser welding.
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With direct fuel injection the gasoline is injected:
Answer:
Gasoline is injected directly into the cylinder.
Explanation:
In a direct injection system, the air and gasoline are not pre-mixed. Rather, air comes in using the intake manifold, while the gasoline is injected directly into the cylinder.
Explain and show work:
Calculate (413,465,789 mod 6), giving an answer between 0 and 5, and using a small number of steps. Show your steps.
Answer:
5
Explanation:
The sum of the digits of the number is ...
(4+1+3)+(4+6+5)+(7+8+9) = 8+15+24 = 47
The sum of those digits is 4+7=11, and those digits sum to 1+1 = 2.
That is, the value of the number mod 9 (or 3) is 2.
The ones digit is odd, so the value of the number mod 2 is 1.
This combination of modulo values tells you the mod 6 result is 5.
_____
Additional comment
We can look at the (mod2, mod3) values of the numbers 0 to 5:
0 ⇒ (0, 0)
1 ⇒ (1, 1)
2 ⇒ (0, 2)
3 ⇒ (1, 0)
4 ⇒ (0, 1)
5 ⇒ (1, 2) . . . . the mod {2, 3} results we have for the number of interest.
This process of adding up the digits repeatedly is referred to as "casting out 9s." The result of it is the modulo 9 value of the number (with 0 mapped to 9). Checking the mod 9 result of arithmetic operations is one quick way to spot certain kinds of errors. It can also be used as part of a divisibility test for 3 or 9.
What type of cartilage provides support and shock absorption?.
Answer:
fibrocartilage
Advantage and disadvantages of Bessemer process of steel making
Advantages:
- allowed steel to be produced without fuel
- using the impurities of the iron to create the necessary heat
- reduced the costs of steel production
Disadvantages:
- could convert only a pig iron low in phosphorus and sulfur
- these elements could have been removed by adding a basic flux such as lime, but the basic sl*g produced would have degraded the acidic refractory lining of Bessemer's converter.
au revoir mon amour <3
A coastal engineer is to an oil platform as a structural engineer is to:
a freeway.
a skyscraper.
submarine pipelines.
an underground tunnel.
Answer:
I think the answer is d: underground tunnel
Explanation:
Hope this helps
Please explain the term ‘causal link’. What is the importance of the causal link
in work accidents? What kind of situations breaks the causal link? Explain all
situations with examples.
Answer:
:)
Explanation:
The correlation between a factor and an outcome could be a coincidence, or it could be caused by a completely different factor. For example, as ice cream sales increase, sales of meat for barbecues also increase.
What event instigated germany’s push for energy from renewable resources?.
Renewable resources are those energy resources which will never end. Germany aims to be completely dependent on renewable energy resources by 2035.
What are renewable resources?Renewable resources are those energy resources which will never end. A few examples of such energy resources are Solar Energy, Wind Energy, etc.
Germany is a European country, therefore, it is a cold country and is highly dependent on the natural resources of Russia. As the war is going on between Russia and Ukraine, it is hard for countries like Germany to put sanctions on Russia because of its dependency on its resources.
Thus, Germany wants to be a self-dependent country in terms of electricity and wants to completely stop the use of non-renewable resources for the production of electricity.
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Equipment consisting of busbars mounted inside an enclosure that provides a means of tapping the service-entrance conductors is called a
Answer:
busway
Explanation: