Answer:
The company will have $311,424 in its investment set-aside account.
Explanation:
To determine the amount of money that the company will have after 7 years with an interest rate of 11% per year, we must calculate the price to start with an increase of 11%, and then repeat the operation until reaching seven years:
Year 0: 150,000
Year 1: 150,000 x 1.11 = 166,500
Year 2: 166,000 x 1.11 = 184,815
Year 3: 184,815 x 1.11 = 205,144.65
Year 4: 205,144.65 x 1.11 = 227,710.56
Year 5: 227,710.56 x 1.11 = 252,758.72
Year 6: 252,758.72 x 1.11 = 280,562.18
Year 7: 280,562.18 x 1.11 = 311,424
The amount of money that the company will have in its investment set-aside account is; $311424
What is the future value?Formula for the future value is;
F = P(1 + i)ⁿ
Where;
F is Future value
P is Present value
i is interest rate
n is Time
The four engineering economy symbols and their values from the question are;
F = ?
P = $150000
i = 11% = 0.11
n = 7 hours
Thus;
F = 150000(1 + 0.11)⁷
F = $311424
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(TCO 4) In a CAN bus, there are three computers: Computer A, Computer B, and Computer C. The messages being sent are 2 milliseconds long. Computer A starts sending a message on the bus; 250 microseconds later, Computer B starts to send a message, and 250 microseconds after that, Computer C starts to send a message. When does Computer A retransmit its message?
A) After 2.5 milliseconds
B) After 1 millisecond
C) After 1.5 milliseconds
D) Never; Computer A will not retransmit.
Answer:
A) After 2.5 milliseconds
Explanation:
Given that :
In a CAN bus, there are three computers: Computer A, Computer B, and Computer C.
Length in time of the message sent are 2 milliseconds long
As the computer start sending the message; the message are being sent at a message duration rate of 2 milliseconds
250 microseconds later, Computer B starts to send a message; There is a delay of 250 microseconds = 0.25 milliseconds here at Computer B
and 250 microseconds after that, Computer C starts to send a message
Similarly; delay at Computer C = 0.25 milliseconds
Assuming [tex]T_{RT}[/tex] is the retransmit time for Computer A to retransmit its message, Then :
[tex]T_{RT}[/tex] = [tex]T_A + T_B + T_C[/tex]
[tex]T_{RT}[/tex] = 2 milliseconds + 0.25 milliseconds + 0.25 milliseconds
[tex]T_{RT}[/tex] = 2.5 milliseconds
Thus; the correct option is A) After 2.5 milliseconds
. A Carnot heat pump is to be used to heat a house and maintain it at 22 °C in winter. When the outdoor temperature remains at 3 °C, the house is estimated to lose heat at a rate of 76,000 kJ/h. If the heat pump consumes 9 kW of power, how long does it need to run in a single day to keep the temperature constant inside the house?
The Carnot heat pump must work 3.624 hours per day to keep the temperature constant inside the house.
In this question we must apply first law of thermodynamics and features of Carnot heat pump to determine how much time the system must be on each day to keep the temperature constant inside the house.
The net heat daily loss of the house ([tex]Q_{losses}[/tex]) is:
[tex]Q_{losses} = \left(76000\,\frac{kJ}{h}\right)\cdot (24\,h)[/tex]
[tex]Q_{losses} = 1.824\times 10^{6}\,kJ[/tex]
In order to keep the house warm, this heat must be equal to heat losses ([tex]Q_{H}[/tex]):
[tex]Q_{H} = Q_{losses}[/tex] (1)
Besides, the Coefficient of Performance for a Carnot heat pump ([tex]COP_{HP}[/tex]) is:
[tex]COP_{HP} = \frac{T_{H}}{T_{H}-T_{L}}[/tex] (2)
Where:
[tex]T_{L}[/tex] - Temperature of the cold reservoir (Outdoors), measured in Kelvin.[tex]T_{H}[/tex] - Temperature of the hot reservoir (House), measured in Kelvin.Given that [tex]T_{L} = 276.15\,K[/tex] and [tex]T_{H} = 295.15\,K[/tex], the Coefficient of Performance is:
[tex]COP_{HP} = \frac{295.15\,K}{295.15\,K-276.15\,K}[/tex]
[tex]COP_{HP} = 15.534[/tex]
For a real heat machine, the Coefficient of Performance is determined by the following expression:
[tex]COP_{HP} = \frac{Q_{H}}{W}[/tex] (3)
Where:
[tex]Q_{H}[/tex] - Heat received by the house, measured in kilojoules. [tex]W[/tex] - Work consumed by the Carnot heat pump, measured in kilojoules.The daily work consumed is now cleared in the previous expression:
[tex]W = \frac{Q_{H}}{COP_{HP}}[/tex] (3b)
[tex]W = \frac{1.824\times 10^{6}\,kJ}{15.534}[/tex]
[tex]W = 117419.853\,kJ[/tex]
The working time is calculated by dividing this result by input power. That is:
[tex]\Delta t = \frac{W}{\dot W}[/tex] (4)
[tex]\Delta t = \left(\frac{117419.853\,kJ}{9\,kW} \right)\cdot \left(\frac{1}{3600}\,\frac{h}{s}\right)[/tex]
[tex]\Delta t = 3.624\,h[/tex]
The Carnot heat pump must work 3.624 hours per day to keep the temperature constant inside the house.
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Generally, final design results are rounded to or fixed to three digits because the given data cannot justify a greater display. In addition, prefixes should be selected so as to limit number strings to no more than four digits to the left of the decimal point. Using these rules, as well as those for the choice of prefixes, solve the following relations:
Captionless Image
Answer:
(a) 1.90 kpsi
(b) 0.40 kpsi
(c) 0.61 in.
(d) 0.009
(a) 8 MPa
(b) 1.30 cm⁴
(c) 2.04 cm⁴
(d) 62.2 MPa
Explanation:
(a) σ = M/Z, where M = 1770 lbf·in and Z = 0.943 in³.
1770/0.943 = 1876.988 lbf/in² = 1.90 kpsi
(b) σ = F/A, where F = 9440 lbf and A = 23.8 in².
9440 /23.8 = 396.639 lbf/in² = 0.4 kpsi
(c) y = Fl³/(3EI)
F = 270 lbf
l = 31.5 in.
E = 30 Mpsi
I = 0.154 in.⁴
y = 270×31.5³/(3×30×10⁶×0.154) = 0.61 in.
(d) θ = Tl/(GJ), where T = 9740 lbf·in, l = 9.85 in. G = 11.3 Mpsi, and d = 1.00 in.
J = π·d⁴/32 = π/32 in.⁴
∴ θ = 9740 × 9.85 /(11.3 × 10⁶× π/32) = 0.009
(a) σ = F/wt, where F = 1 kN, w = 25 mm, and t = 5 mm
∴ σ = 1000/(0.025 × 0.005) = 8 MPa
(b) I = bh³/12, where b = 10 mm and h = 25 mm.
10×25³/12 = 1.30 cm⁴
(c) I = π·d⁴/64 where d = 25.4 mm.
I = π × 25.4⁴/64 = 2.04 cm⁴
(d) τ = 16×T/(π×d³), where T = 25 N·m, and d = 12.7 mm.
16×25/(π×0.0127³) = 62.2 MPa.
A concrete building slab, the temperature is normally on the upper surface of the slab (the inside), andit is-on the lower surface, with a linear temperature profilein between. efficiency of 66%, how much energy must be utilized to maintain the basement temperaturefor 90daysassuming that nearly all heat losses occur through the slab
Complete Question:
A concrete building slab, on a basement floor is 5 m long, 3 m wide and 0.6 m thick. During the winter, the temperature is normally 18°C on the upper surface of the slab (the inside), and it is -7°C on the lower surface, with a linear temperature profile in between. If the concrete has a thermal conductivity of 1.4 W/m-K, what is the rate of heat loss through the slab? If the basement is heated by a gas furnace operated with an efficiency of 66%, how much energy must be utilized to maintain the basement temperature for 90 days assuming that nearly all heat losses occur through the slab?
Answer:
a) Rate of heat loss, [tex]\dot{Q} = 875 W[/tex]
b) Energy that must be utilized to maintain the basement temperature,
Em = 10309 MJ
Explanation:
Length of the slab, l = 5 m
Width of the slab, w = 3 m
Thickness of the slab, t = 0.6 m
Cross Sectional Area of the slab, A = l x b
A = 5 x 3
A = 15 m²
Upper Surface Temperature, T₁ = 18°C = 18 + 273 = 291 K
Lower Surface Temperature, T₂ = -7°C = -7 + 273 = 266 K
a) The rate of heat loss is given by the formula:
[tex]\dot{Q} = KA \frac{dT}{dx} \\\dot{Q} = 1.4 * 15 \frac{291 - 266}{0.6}\\\dot{Q} = 1.4 * 15 \frac{25}{0.6}\\\dot{Q} = 875 W[/tex]
b) Energy, [tex]E = \dot{Q}t[/tex]
t = 90 days = 90 * 24 * 3600 = 7776000 s
E = 875 * 7776000
E = 6804000000J
E = 6804 MJ
If Efficiency = 66%, Energy that must be utilized to maintain the basement temperature.
6804 = 66% * Em
6804 = 0.66 * Em
Em = 6804/0.66
Em = 10309 MJ
A power plant operates on a regenerative vapor power cycle with one open feedwater heater. Steam enters the first turbine stage at 12 \mathrm{MPa}, 560^{\circ} \mathrm{C}12MPa,560 ∘ C and expands to 1 MPa, where some of the steam is extracted and diverted to the open feedwater heater operating at 1 MPa. The remaining steam expands through the second turbine stage to the condenser pressure of 6 kPa. Saturated liquid exits the open feedwater heater at 1 MPa. The net power output for the cycle is 330 MW. For isentropic processes in the turbines and pumps,
determine:
a. the cycle thermal efficiency.
b. the mass flow rate into the first turbine stage, in kg/s.
c. the rate of entropy production in the open feedwater heater, in kW/K.
Answer:
a. 46.15%
b. 261.73 kg/s
c. 54.79 kW/K
Explanation:
a. State 1
The parameters given are;
T₁ = 560°C
P₁ = 12 MPa = 120 bar
Therefore;
h₁ = 3507.41 kJ/kg, s₁ = 6.6864 kJ/(kg·K)
State 2
p₂ = 1 MPa = 10 bar
s₂ = s₁ = 6.6864 kJ/(kg·K)
h₂ = (6.6864 - 6.6426)÷(6.6955 - 6.6426)×(2828.27 - 2803.52) + 2803.52
= (0.0438 ÷ 0.0529) × 24.75 = 2824.01 kJ/kg
State 3
p₃ = 6 kPa = 0.06 bar
s₃ = s₁ = 6.6864 kJ/(kg·K)
sg = 8.3291 kJ/(kg·K)
sf = 0.52087 kJ/(kg·K)
x = s₃/sfg = (6.6864- 0.52087)/(8.3291 - 0.52087) = 0.7896
(h₃ - 151.494)/2415.17 = 0.7896
∴ h₃ = 2058.56 kJ/kg
State 4
Saturated liquid state
p₄ = 0.06 bar= 6000 Pa, h₄ = 151.494 kJ/kg, s₄ = 0.52087 kJ/(kg·K)
State 5
Open feed-water heater
p₅ = p₂ = 1 MPa = 10 bar = 1000000 Pa
s₄ = s₅ = 0.52087 kJ/(kg·K)
h₅ = h₄ + work done by the pump on the saturated liquid
∴ h₅ = h₄ + v₄ × (p₅ - p₄)
h₅ = 151.494 + 0.00100645 × (1000000 - 6000)/1000 = 152.4944113 kJ/kg
Step 6
Saturated liquid state
p₆ = 1 MPa = 10 bar
h₆ = 762.683 kJ/kg
s₆ = 2.1384 kJ/(kg·K)
v₆ = 0.00112723 m³/kg
Step 7
p₇ = p₁ = 12 MPa = 120 bar
s₇ = s₆ = 2.1384 kJ/(kg·K)
h₇ = h₆ + v₆ × (p₇ - p₆)
h₇ = 762.683 + 0.00112723 * (12 - 1) * 1000 = 775.08253 kJ/kg
The fraction of flow extracted at the second stage, y, is given as follows
[tex]y = \dfrac{762.683 - 152.4944113 }{2824.01 - 152.4944113 } = 0.2284[/tex]
The turbine control volume is given as follows;
[tex]\dfrac{\dot{W_t}}{\dot{m_{1}}} = \left (h_{1} - h_{2} \right ) + \left (1 - y \right )\left (h_{2} - h_{3} \right )[/tex]
= (3507.41 - 2824.01) + (1 - 0.22840)*(2824.01 - 2058.56) = 1274.02122 kJ/kg
For the pumps, we have;
[tex]\dfrac{\dot{W_p}}{\dot{m_{1}}} = \left (h_{7} - h_{6} \right ) + \left (1 - y \right )\left (h_{5} - h_{4} \right )[/tex]
= (775.08253 - 762.683) + (1 - 0.22840)*(152.4944113 - 151.494)
= 13.17 kJ/kg
For the working fluid that flows through the steam generator, we have;
[tex]\dfrac{\dot{Q_{in}}}{\dot{m_{1}}} = \left (h_{1} - h_{7} \right )[/tex]
= 3507.41 - 775.08253 = 2732.32747 kJ/kg
The thermal efficiency, η, is given as follows;
[tex]\eta = \dfrac{\dfrac{\dot{W_t}}{\dot{m_{1}}} -\dfrac{\dot{W_p}}{\dot{m_{1}}}}{\dfrac{\dot{Q_{in}}}{\dot{m_{1}}}}[/tex]
η = (1274.02122 - 13.17)/2732.32747 = 0.4615 which is 46.15%
(762.683 - 152.4944113)/(2824.01 - 152.4944113)
b. The mass flow rate, [tex]\dot{m_{1}}[/tex], into the first turbine stage is given as follows;
[tex]\dot{m_{1}} = \dfrac{\dot{W_{cycle}}}{\dfrac{\dot{W_t}}{\dot{m_{1}}} -\dfrac{\dot{W_p}}{\dot{m_{1}}}}[/tex]
[tex]\dot{m_{1}}[/tex] = 330 *1000/(1274.02122 - 13.17) = 261.73 kg/s
c. From the entropy rate balance of the steady state form, we have;
[tex]\dot{\sigma }_{cv} = \sum_{e}^{}\dot{m}_{e}s_{e} - \sum_{i}^{}\dot{m}_{i}s_{i} = \dot{m}_{6}s_{6} - \dot{m}_{2}s_{2} - \dot{m}_{5}s_{5}[/tex]
[tex]\dot{\sigma }_{cv} = \dot{m}_{6} \left [s_{6} - ys_{2} - (1 - y)s_{5} \right ][/tex]
= 261.73 * (2.1384 - 0.2284*6.6864 - (1 - 0.2284)*0.52087 = 54.79 kW/K
Consider a simple ideal Rankine cycle and an ideal regenerative Rankine cycle with one open feedwater heater. The two cycles are very much alike, except the feedwater in the regenerative cycle is heated by extracting some steam just before it enters the turbine. Hence, the simple ideal Rankine cycle is more efficient than the ideal regenerative Rankine cycle. How would you compare the efficiencies of of these two cycles?
Answer:
They both have the same efficiency.
Explanation:
The simple ideal Rankine cycle and an ideal regenerative Rankine cycle with one open feedwater heater would both have the same efficiency because the extraction steam would just create a mini cycle that recirculates. The energy given to the feedwater heater is proportional to the added heat in the boiler to the feedwater in the simple cycle to raise its temperature to the same boiler inlet condition.
Therefore in comparison, the efficiency is the same for both.
An engineering firm just lost one of their larger customers. The firm president says that the solution to this problem is to fire three engineers to balance the firm’s workforce with the current level of business. He says it is a simple problem with a simple solution.a) The three engineers disagree. Why?b) What are the ethical factors form the perspective of the firm president and the engineers?
Answer:
The engineers disagreed because their jobs were on the line
The ethical factors are:
The reason for the customer dumping the business is yet to be figured out
The need to keep cost to the lowest ebb in order to keep maintain profitability at the expense of employees' welfare
The are several ways of growing customer base which are yet to be exploited.
Explanation:
The engineers disagree because there is no direct connection between the company's loss of the customer and their proposed layoff of the engineers,at least no one strong evidence has been given by the president.
The ethical factors inherent in this case are as follows:
The reason for the customer dumping the business is yet to be figure out
The need to keep cost to the lowest ebb in order to keep maintain profitability.
The are several ways of growing customer base which are yet to be exploited.
There is a need for a fact-finding exercise to establish the main motive behind losing such customer,without which the company can run into more troubles in future,otherwise the company would keep firing its good hands each time a customer dumps it.
Also,the president had resulted into such decision in order to maintain company's margins,where then lies ethics of welfare economics?Welfare economics is about looking beyond margins and looking at issues from a wider perspective of fulfilling the needs of employees in order for them to put in their best performance,at least by granting them job safety.
The company could have also grown business by investing in new technology that sets it apart from competitors instead of just jumping into the conclusions of sacking employees in a business where the company's strength lies in quality of engineers that it has.
Two particles have a mass of 7.8 kg and 11.4 kg , respectively. A. If they are 800 mm apart, determine the force of gravity acting between them. B. Compare this result with the weight of each particle. Find weight of the first particle. C. Find weight of the second particle.
Answer:
A) About [tex]9.273 \times 10^{-9}[/tex] newtons
B) 76.518 newtons
C) 111.834 newtons
Explanation:
A) [tex]F_g=\dfrac{GM_1M_2}{r^2}[/tex] , where G is the universal gravitational constant, M 1 and 2 are the masses of both objects in kilograms, and r is the radius in meters. Plugging in the given numbers, you get:
[tex]F_g=\dfrac{(6.67408 \times 10^{-11})(7.8)(11.4)}{(0.8)^2}\approx 9.273 \times 10^{-9}[/tex]
B) You can find the weight of each object on Earth because you know the approximate acceleration due to gravity is 9.81m/s^2. Multiplying this by the mass of each object, you get a weight for the first particle of 76.518 newtons.
C) You can do a similar thing to the previous particle and find that its weight is 11.4*9.81=111.834 newtons.
Hope this helps!
coal fire burning at 1100 k delivers heat energy to a reservoir at 500 k. Find maximum efficiency.
Answer:
55%
Explanation:
hot reservoir = 1100 K
cold reservoir = 500 K
This is a Carnot system
For a Carnot system, maximum efficicency of the system is given as
Eff = 1 - [tex]\frac{Tc}{Th}[/tex]
where Tc = temperature of cold reservoir = 500K
Th = temperature of hot reservoir = 1100 K
Eff = 1 - [tex]\frac{500}{1100}[/tex]
Eff = 1 - 0.45 = 0.55 or 55%
what are the non-functional requirements of a washing machine
Answer:
a laudry automaat has no nonfunctional parts
whywould they put something in there that has no function ?
What in the purpose of in-liquid-line filters?
Answer:
When you build a compressor that is supposed to run in an enclosed system you want the coolant medium (and the lubricants) in this system to function optimally during the service life of the system.
First of all, the coolant medium has a tendency to absorb water and this moisture can be aggressive on the internal components of the compressor so you want to remove this once the system is sealed.
Second, you want to filter out any particles that may shorten the life of the system.
Those are the two purposes of the liquid line filter drier in the refrigeration system.
Explanation:
Discuss three objectives of Tariff and elaborate on three characteristics of it
Answer:
Three objectives of a tariff are
1) To control trade between countries
2) To protect domestic industries
3) To provide a source of income
Three characteristics of a tariff are;
1) Adequate return
2) Attractive
3) Fairness
Explanation:
A tariff is an import or export tax placed on goods traded between countries, it serves to control the foreign trade between the two countries and to protect or develop local industry
A Tariff is an important source of income to countries
Three characteristics of a tariff are;
1) Adequate return
Proper return from the consumer should be factored in a tariff to account for the alternatives or normal expense pattern
2) Attractive
The tariff should be attractive to encourage consumption of electricity or complimentary goods
3) Fairness
Based on the consumption of related resources brought about by large scale utilization, large consumer tariff should be lower than those that consume less complementary resources.
50 for brainliest HELP ASAP
absurd answers will be recorded
Answer:
1) This is because too much fuel is needed to get a payload from the surface to orbital altitude an accelerated to orbital speed.
2) This is because space travel present extreme environment that affect machines operations and survival.
Explanation:
Hope it helps
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Ammonia in a piston–cylinder assembly undergoes two processes in series. At the initial state, p1 = 120 lbf/in.2 and the quality is 100%. Process 1–2 occurs at constant volume until the temperature is 100°F. The second process, from state 2 to state 3, occurs at constant temperature, with Q23 = –98.9 Btu, until the quality is again 100%. Kinetic and potential energy effects are negligible. For 2.2 lb of ammonia, determinea) the heat transfer for Process 1–2, in Btu. b) the work for Process 2–3, in Btu.
Answer:
The heat transfer [tex]\mathbf{\mathbf{Q_{1-2}} = 35.904 \ Btu}[/tex]
[tex]W_{2-3}= -71.312 \ Btu[/tex]
Explanation:
At the initial state when P₁ = 10 lbf/in :
We obtain the internal energy u₁ and specific volume v₁.
u₁ = [tex]u_g[/tex] = 574.08 btu/lbm
v₁ = [tex]v_g[/tex] = 2.4746 ft³/lbm
Process 1–2 occurs at constant volume until the temperature is 100°F.
i.e T₂ = 100⁰ F
At T₂ = 100⁰ F : v₁ = v₂ = 2.4746 ft³/lbm
[tex]\mathbf{u_2 = 591.28 + \dfrac{2.4746-2.5917}{2.117-2.5917}*(587.68 -591.28)}[/tex]
[tex]\mathbf{u_2 = 591.28 + 0.246682115(-3.6)}[/tex]
[tex]\mathbf{u_2 = 591.28+ (-0.888055614)}[/tex]
[tex]\mathbf{u_2 \approx 590.4 \ btu/lbm}[/tex]
[tex]\mathbf{Q_{1-2}= W+ \Delta U}[/tex]
[tex]\mathbf{Q_{1-2}= W+m( u_2 -u_1)}[/tex]
[tex]\mathbf{\mathbf{Q_{1-2}} = 0+2.2(590.4-574.08)}[/tex]
[tex]\mathbf{\mathbf{Q_{1-2}} = 0+2.2(16.32)}[/tex]
[tex]\mathbf{\mathbf{Q_{1-2}} = 35.904 \ Btu}[/tex]
b) the work for Process 2–3, in Btu.
At [tex]T_3 = 100 ^0 \ F[/tex] ; [tex]u_3 = 577.86 \ Btu/lbm[/tex]
[tex]Q_{2-3} = W_{2-3} + \Delta U[/tex]
[tex]Q_{2-3} = W_{2-3} + m(u_3-u_2)[/tex]
[tex]Q_{2-3} = W_{2-3} +2.2(577.86-590.4)[/tex]
[tex]-98.9 = W_{2-3} +2.2(577.86-590.4)[/tex]
[tex]-W_{2-3}= 2.2(577.86-590.4)+98.9[/tex]
[tex]-W_{2-3}= -27.588+98.9[/tex]
[tex]-W_{2-3}= 71.312[/tex]
[tex]W_{2-3}= -71.312 \ Btu[/tex]
1- Design a brute-force algorithm for solving the problem below (provide pseudocode): You have a large container with storage size: W lb. You have many Items (n) where each item weight is: wi. the algorithm you design should find the subset of items with the largest weight not exceeding W (Container storage capacity).
2- Submit a simple program in any language you prefer that implement your algorithm with an example test run.
Answer: Provided in the explanation section
Explanation:
1. Algorithm:
Input: Container storage capacity-W, Weights of n items w[n]. w[i] represents the weight of the nth item.
Output: a subset of items with the largest weight not exceeding W.
Algorithm: To find the subset of items with the largest weight not exceeding W, we can use a recursive algorithm. We define Solve(W, i) as a solution to the problem with weight W and i items, then our recurrence can be written as:
Solve(W,i) = max(Solve(W,i-1) , w[i] + Solve(W-w[i],i-1)). We get this relation because for every item (ith) item we have two options, either we include it in our container or we do not include it.
When we do not include ith items in the container, then we have to solve the problem for remaining items with the same weight so we get Solve(W,i-1).
When we include ith items in the container, then we have to solve the problem for remaining items with the reduced weight so we get w[i] + Solve(W-w[i],i-1). Here we have added w[i] because we have included ith item in our container.
2. Using C++ Implementation:
#include<bits/stdc++.h>
using namespace std;
// this funtion finds the subset of items with the largest weight not exceeding W (Container storage capacity) and returns maximum possible weight of items
int solve(int w[],int W,int i,int n)
{
// if our weight has become zero or we have reached at the end of items then we simply return 0
if(W==0 || i==n)
return 0;
else
{
// if weight of ith item is more than W then we have only one case, we have to ingore the ith item
if(w[i]>W)
{
return solve(w,W,i+1,n);
}
else
{
//now we have two cases, we can incude ith item or we can ignore ith item
//case-1
int include_ith_item = w[i]+solve(w,W-w[i],i+1,n);
//case-2
int exclude_ith_item = solve(w,W,i+1,n);
//and we return the maximum of these two cases
if(include_ith_item>exclude_ith_item)
{
return include_ith_item;
}
else
{
return exclude_ith_item;
}
}
}
}
int main()
{
// some example data to test our funtion
int w[5] = {10,12,13,9,43};
int n=5;
int W = 50;
set <int> ::iterator it;
cout<<"The largest possible weight of subsets is: "<<solve(w,W,0,5);
}
cheers i hope this helped !!!
The thrust F of a screw propeller is known to depend upon the diameter d,speed of advance \nu ,fluid density p, revolution per second N, and the coefficient of viscosity μ of the fluid. Determine the dimensions of each of the variables in terms of L,M,T,and find an expression for F in terms of these quantities
Answer:
Dimension of diameter = L
Dimension of speed of advance, V = [tex]LT^{-1}[/tex]
Dimension of N = [tex]T^{-1}[/tex]
Dimension of coefficient of viscosity, μ = [tex]ML^{-1} T^{-1}[/tex]
Dimension of Propeller thrust, [tex]F = MLT^{-2}[/tex]
Explanation:
The unit of diameter, d is meters, hence dimension of d = L
The speed of advance, V is in m/s, hence the dimension = [tex]LT^{-1}[/tex]
The fluid density, p, is in kg/m³, hence the dimension = [tex]ML^{-3}[/tex]
Rotation rate, N, is in Rev/s, hence the dimension = [tex]T^{-1}[/tex]
coefficient of viscosity μ = [tex]ML^{-1} T^{-1}[/tex]
The propeller thrust can be given by the formula:
[tex]F = K_{T} \rho N^{2} d^{4}[/tex]
Where [tex]K_{T}[/tex] is the thrust coefficient
The dimension of the propeller thrust can then be derived as:
[tex]F = ML^{-3} (T^{-1})^2 L^4\\F = ML^{-3}T^{-2}L^4\\F = MLT^{-2}[/tex]
Car crashes in the United States result in high costs. In
what areas do these high costs occur?
Answer: money & human lives
Explanation:
answer on career safe!
The high cost occur in Money and Human lives.
Car crashes accounts for an average of 38,000 death in the US per year and the country have the highest number of car crashes in the world.
Distracted driving, Over-speeding, Drunk Driving, Reckless Driving, Slippery road are the major cause of car crash across the globeThe consequence of fatal car crash are often enormous for Insurance company and for the bereaved family.Insurance companies usually pay for damage or loss of life caused to other users as a result of accident used by insured vehicle.In conclusion, the high costs that occur as a result of Car Crash is Money (Indemnity) and loss of Human lives.
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The difference between a thermocouple and a thermistor is the A. technology inside. B. thermocouple measures temperatures at the tip and the thermistor at the dimple. C. thermistor is designed specifically for thinner foods. D. thermocouple is the only one able to use different probes.
Answer: B. thermocouple measures temperatures at the tip and the thermistor at the dimple.
Explanation:
A thermistor is a temperature-sensitive resistor, whilst a thermocouple generates a voltage proportional to the temperature. Thermocouples can work at much higher temperatures than thermistors. They are commonly used for temperature control in heating systems.
In 1903, Aegidius Elling of Norway designed and built an 11-hp gas turbine that used steam injection between the combustion chamber and the turbine to cool the combustion gases to a safe temperature for the materials available at the time. Currently, there are several gas-turbine power plants that use steam injection. Does steam injection improve the thermal efficiency of a gas-turbine power plant?
Answer:
Steam injection increases the mass flow rate of steam in the turbine. As a result, the power output from the turbine also increases.
Explanation:
Steam injection increases the mass flow rate of steam in the turbine. As a result, the power output from the turbine also increases.
Thermal efficiency increases as work output increases but heat addition remains constant. The process of steam injection is similar to the regeneration process. The exhaust gases which are coming from the exit of the turbine can be used to obtain steam.
The properties of the air in the inlet section with A1 = 0.25ab m2 in a converging-diverging channel are given as U1 = 25a,b m/s, T1 = 3ab K, P1 = 13a,b kPa (absolute). Find the required cross-sectional area, pressure, temperature, velocity and mass flow rate to obtain sonic (Ma2=1.0) flow at the outlet. Calculate critical values of A*, U*, T*, P*.
Answer:
nice cake
Explanation:
how is me depressed or am me not? (but with a yoda voice)
Answer:
but the way is the way but the WAY is not the way
Explanation:
(yoda voice)
Answer:
umm am i supposed to be laughing?
Explanation:
sorryyy idk what yoda sounds like cuz i think star wars is pretty wack, just my opinion tho so dont get offended
Two previously undeformed cylindrical specimens of an alloy are to be strain hardened by reducing their cross-sectional areas (while maintaining their circular cross sections). For one specimen, the initial and deformed radii are 15 mm and 12 mm, respectively. The second specimen, with an initial radius of 11 mm, must have the same deformed hardness as the first specimen.Compute the second specimen's radius after deformation.
Answer:
Explanation:
Two previously undeformed cylindrical specimens of an alloy are to be strain hardened by reducing their cross-sectional areas (while maintaining their circular cross sections). For one specimen, the initial and deformed radii are 15 mm and 12 mm, respectively. The second specimen, with an initial radius of 11 mm, must have the same deformed hardness as the first specimen.Compute the second specimen's radius after deformation.
The percentage of cold work to be done to deform the two cylindrical is calculated
[tex]\% CW=\frac{A_o-A_d}{A_o} \times100\\\\=\frac{\pi r_o^2-\pi r^2_d}{r_o^2} \times100[/tex]
we input the values
[tex]=\frac{15^2-12^2}{15^2} \times 100\\\\=\frac{225-144}{225} \times100\\\\=\frac{81}{225} \times 100\\\\=36 \%[/tex]
We can now calculate the deformed radius of the second specimen for the same deformation
[tex]r_2=r_o\sqrt{1-\frac{\% CW}{100} }\\\\=11\sqrt{1-\frac{36}{100} } \\\\=11\sqrt{1-0.36} \\\\=11\sqrt{0.64} \\\\=11\times0.8\\\\=8.8mm[/tex]
At steady state, air at 200 kPa, 325 K, and mass flow rate
of 0.5 kg/s enters an insulated duct having differing inlet
and exit cross-sectional areas. The inlet cross-sectional area is
6 cm26cm
2. At the duct exit, the pressure of the air is 100 kPa and the velocity is 250 m/s. Neglecting potential energy
effects and modeling air as an ideal gas with constant cp=1.008 kJ/kg⋅Kc
p =1.008kJ/kg⋅K, determine
(a) the velocity of the air at the inlet, in m/s.
(b) the temperature of the air at the exit, in K.
(c) the exit cross-sectional area, in cm2
(a) the velocity of the air at the inlet, in m/s.
(b) the temperature of the air at the exit, in K.
(c) the exit cross-sectional area, in cm
Determine the enthalpy, volume and density of 1.0 kg of steam at a pressure of 0.5 MN/m2 and with a dryness fraction of 0.96
Answer:
Enthalpy, hsteam = 2663.7 kJ/kg
Volume, Vsteam = 0.3598613 m^3 / kg
Density = 2.67 kg/ m^3
Explanation:
Mass of steam, m = 1 kg
Pressure of the steam, P = 0.5 MN/m^2
Dryness fraction, x = 0.96
At P = 0.5 MPa:
Tsat = 151.831°C
Vf = 0.00109255 m^3 / kg
Vg = 0.37481 m^3 / kg
hf = 640.09 kJ/kg
hg = 2748.1 kJ/kg
hfg = 2108 kJ/kg
The enthalpy can be given by the formula:
hsteam = hf + x * hfg
hsteam = 640.09 + ( 0.96 * 2108)
hsteam = 2663.7 kJ/kg
The volume of the steam can be given as:
Vsteam = Vf + x(Vg - Vf)
Vsteam = 0.00109255 + 0.96(0.37481 - 640.09)
Vsteam = 0.3598613 m^3 / kg
From the steam table, the density of the steam at a pressure of 0.5 MPa is 2.67 kg/ m^3
Consider a classroom for 57 students and one instructor, each generating heat at a rate of 100 W. Lighting is provided by 18 fluorescent lightbulbs, 40 W each, and the ballasts consume an additional 10 percent. Determine the rate of internal heat generation in this classroom when it is fully occupied. The rate of internal heat generation in this classroom when it is fully occupied is W.
Answer:
The answer is 6392 W
Explanation:
Solution
Given that:
The total number of students in the class room is = 57
There are 18 light fluorescent bulbs of 40 W
The heat generated by an individual is = 100 W
The ballasts consume an additional of 10% from the generated heat
The rate of internal heat generation in he classroom when it is completely filled up is the sum or addition of heated generated because of the ballasts, light bulbs and individuals or persons is denoted as follows:
Q total = Q people + Q lights W
Now,
The heat that is been generated by the students in the classroom when occupied completely is stated below:
Q people = ( The number of person ) * (Q each)
Thus,
56 * 100
= 5600 W
Secondly, the heat generated from the lights is the same as the electrical energy been used by the lights
So,
Q lights = (Total number of lights ) * (Q elec)
18 * 40
= 720 W
Then
The heat used by the ballasts is at 10 % of the Q lights
Which is Q ballasts = 10/100 * 720
= 72 W
Now,
We sum up both the heat generated from the lights bulbs, by the students and from the ballasts.
Thus
The the total heat generated from the classroom is shown below:
Q total = Q people + Q lights
=5600 + 720 +72
=6392 W
Therefore the total heat generated is 6392 W
A 3.7 g mass is released from rest at C which has a height of 1.1 m above the base of a loop-the-loop and a radius of 0.2 m . The acceleration of gravity is 9.8 m/s 2 . 1.1 m 0.2 m B D C A 3.7 g Find the normal force pressing on the track at A, where A is at the same level as the center of the loop. Answer in units of N.
Answer:
Normal force = 0.326N
Explanation:
Given that:
mass released from rest at C = 3.7 g = 3.7 × 10⁻³ kg
height of the mass = 1.1 m
radius = 0.2 m
acceleration due to gravity = 9.8 m/s²
We are to determine the normal force pressing on the track at A.
To to that;
Let consider the conservation of energy relation; which says:
mgh = mgr + 1/2 mv²
gh = gr + 1/2 v²
gh - gr = 1/2v²
g(h-r) = 1/2v²
v² = 2g(h-r)
However; the normal force will result to a centripetal force; as such, using the relation
N =mv²/r
replacing the value for v² = 2g(h-r) in the above relation; we have:
Normal force = 2mg(h-r)/r
Normal force = 2 × 3.7 × 10⁻³ × 9.8 ( 1.1 - 0.2 )/ 0.2
Normal force = 0.065268/0.2
Normal force = 0.32634 N
Normal force = 0.326N
21.Why are throttling devices commonly used in refrigeration and air-conditioning
applications?
Answer:
1. To bring down the pressure of the refrigerant
2. To meet up with the load to be refrigerated (the amount of heat to be evacuated)
Explanation:
1. To bring down the pressure of the refrigerant
The high pressure of the refrigerant coming from the condenser require reduction to enable vaporization in the evaporator at the proper temperature
The throttling valve as a small aperture through which the refrigerant flows that lowers the pressure of the refrigerant to a point at which the refrigerant vaporize of which the refrigerant then passes into the evaporator in a partly as liquid and vapor at a low temperature and pressure
2. To meet up with the load to be refrigerated (the amount of heat to be evacuated)
The throttling valve allows more refrigerant to flow through it when there is an increased load at a higher temperature to be refrigerated
Similarly, in a condition of reduced refrigeration load, hence, a lesser amount of heat to be evacuated, the throttling valve restricts the amount of flow of the refrigerant through it.
The ground temperature a few meters below the surface is fairly constant throughout the year and is near the average value of the air temperature. In areas in which the air temperature drops very low in the winter, the exterior unit of a heat pump designed for heating is sometimes buried underground in order to use the earth as a thermal reservoir.Why is it worthwhile to bury the heat exchanger, even if the underground unit costs more to purchase and install than one above ground?
Since the Earth contains a constant temperature range heat exchangers can be built underground without other added expenses yes they are expensive to put underground but the pay off is greater long term wise since the heat rises it can be said you could put a heatpump in a small area and it can over time increase the relative heat in that area of effect.
hope this helps look into, heat displacement thru underground heating to get a clearer picture
Determine the voltages at all nodes and the currents through all branches. Assume that the transistor B is 100,
VEB=0.7V and VA=0.
Answer:
The voltages of all nodes are, IE = 4.65 mA, IB =46.039μA, IC=4.6039 mA, VB = 10v, VE =10.7, Vc =4.6039 v
Explanation:
Solution
Given that:
V+ = 20v
Re = 2kΩ
Rc = 1kΩ
Now we will amke use of the method KVL in the loop.
= - Ve + IE . Re + VEB + VB = 0
Thus
IE = V+ -VEB -VB/Re
Which gives us the following:
IE = 20-0.7 - 10/2k
= 9.3/2k
so, IE = 4.65 mA
IB = IE/β +1 = 4.65 m /101
Thus,
IB = 0.046039 mA
IB = 46.039μA
IC =βIB
Now,
IC = 100 * 0.046039
IC is 4.6039 mA
Now,
VB = 10v
VE = VB + VEB
= 10 +0.7 = 10.7 v
So,
Vc =Ic . Rc = 4.6039 * 1k
=4.6039 v
Finally, this is the table summary from calculations carried out.
Summary Table
Parameters IE IC IB VE VB Vc
Unit mA mA μA V V V
Value 4.65 4.6039 46.039 10.7 10 4.6039
A girl operates a radio-controlled model car in a vacant parking lot. The girl's position is at the origin of the xy coordinate axes, and the surface of the parking lot lies in the x-y plane. The motion of the car is defined by the position vector r = (2 + 2t2)i + (6 + t3 )j where r and t are expressed in meters and seconds, respectively. Determine (a) the distance between the car and the girl when t = 2s, (b) the distance the car traveled in the interval from t = 0 to t = 2s, (c) the speed and direction of the car's velocity at t = 2s, (d) the magnitude of the car's acceleration at t = 2s.
Answer:
a) 17.20
b) 11.31
c) 14.42
d) 12.65
Explanation:
(a)
The girl is at the origin of the x,y coordinates (i.e 0,0,0 )
the position vector of the car at time 't' secs is
[tex]\vec{r}= 2+2t^2, 6+t^3,0[/tex]
at t=2s, the position vector is
[tex]\vec{r}= 10, 14,0[/tex]
Therefore, the the distance between the car and the girl is
[tex]s= \sqrt{(10-0)^2+(14-0)^2+(0-0)^2)}\[/tex]
s = 17.20
(b)
The position of the car at t = 0s is [tex]\vec{r}_0 = 2,6,0[/tex]
The position of the car at t = 2s is [tex]\vec{r}_2 = 10,14,0[/tex]
The distance of the car traveled in the interval from t=0s to t=2 s is as follows:
[tex]s_{02}= \sqrt{(10-2)^2+(14-6)^2+(0-0)^2)} \\ \\ s_{02} = 11.31[/tex]
(c)
The position vector of the car at time 't' secs is
[tex]\vec{r}= 2+2t^2, 6+t^3,0[/tex]
The velocity of the car is
[tex]\vec{v}=\dfrac{d\vec{r}}{dt}= 4t, 3t^2,0[/tex]
the direction of the car's velocity at t = 2s is going to be
[tex]\vec{v}\mid _t=2 8, 12,0[/tex]
Thus; The speed of the car is
[tex]v_{t=2}= \sqrt{8^2+12^2+0^2} \\ \\ v_{t=2}= 14.42[/tex]
(d) the car's acceleration is:
[tex]\vec{a}=\frac{d\vec{v}}{dt}= 4, 6t,0[/tex]
The magnitude of car's acceleration at t=2s is
[tex]\mid \vec{a}\mid _{t=2}=\sqrt{4^2+12^2+0^2} \\ \\ \mid \vec{a}\mid _{t=2}= 12.65[/tex]