Answer:
21.6 kw
Explanation:
Given data:
m = 50 kg/s
Inlet pressure (p1) = 2 bar
outlet pressure(p2) = 6.2 bar
suction ( h1 ) = -2.2 m
delivery ( h2 ) = 8.5 m
d1 = 200 mm = 0.2 m
d2 = 100 mm = 0.1 m
Vs of water = 0.001 m^3/kg
next we have to determine the Q value
Q = V*A
Q = 0.001 * 50 = 0.05 m^3/s
next we have to calculate the various V's
V1 = Q/A1 = [tex]\frac{0.05*4}{\pi *0.2^2}[/tex] = 1.59 m/s
V2 = Q/A2 = [tex]\frac{0.05*4}{\pi *0.1^2}[/tex] = 6.37 m/s
Determine the capacity of the electric motor
attached below is the detailed solution
It is common to specify battery capacity, the amount of stored energy, with units of ampere-hours (Ah). A particular 12 V lead acid battery has a capacity of 80 Ah. That is, the battery stores enough energy to supply 1 A for 80 hours, or 80 A for 1 hour, or 20 A for 4 hours, and so on. Note that amperes times hours give units of charge, not energy, so specifying energy in this way requires knowledge of the nominal voltage of the battery in order to be meaningful.
The fully-charged, 12 V, 80 Ah battery is used to drive a motorized hoist to lift a 150 lb person into the air. The electromechanical energy conversion process, accounting for battery, motor, and mechanical losses, has an efficiency of 85%.
Required:
a. If the battery is fully-discharged during the lifting process, how high can the person be lifted? Assume constant battery voltage and no height limitation on the hoist.
b. The maximum allowable battery current is 15 A. How long will it take to lift the person to the height determined in part a?
c. What is the battery's output power during the lift? You may assume that the battery voltage remains constant.
Answer:
a) 4401.7 m
b) 5.3 hours
c) 180 watts
Explanation:
a) Determine how high a person can be lifted
since energy = voltage * amperes
= 12v * 80Ah = 960 watt h
960 watt h ≈ 960 * 3600 J
= 3456 KJ
next we will calculate the gravitational potential energy
Gpe = mass of person * g * h
= (150*0.454)kg * 9.8 * h
Gpe = 667.38 * h ------ ( 1 )
since efficiency is = 85% = 0.85
E (out ) from machine = energy * efficiency ------ ( 2 )
= 3456 * 0.85 = 2937.6 KJ
To determine (h) equate equation 1 and equation 2
667.38 * h = 2937.6 KJ
h = 2937.6 / 667.38
= 4401.7 m
b) Time taken to reach the height in part A
Eout = Gpe
Eout = ( 12v * 15A * x * 3600J * 0.85 )
Gpe = 667.38 * h = 667.38 * 4401.7 = 2937606.55
during the lift : 550800 x = 2937606.55
time taken x = 5.3 hours
c) Determine battery output power during lift
15A * 12v
= 180 watts
Natural Gas Corporation obtains a federal license to operate a gas pipeline through a certain area of Oregon. The Oregon state legislature enacts a law that bans gas pipelines in that area. Most likely, the state law violates:___.
a. no provision in the U.S. Constitution.
b. the supremacy clause.
c. the commerce clause.
d. the due process clause.
Answer:
b. the supremacy clause
Explanation:
This is clearly a violation of the supremacy clause of the constitution. The supremacy clause makes the constitution and federal laws made under the constitutional authority the supreme law of the united state. And in a case where there is a conflicting state law, as we have here with Oregon, the federal law is supposed to take priority.
So in this case where the federal law and the state law do not agree, the feral law has the power to override the law of the state. So oregon has violated the supremacy clause
Technician A says that a component may be grounded through its mounting to a major metal part. Technician B says that some components must be grounded by connecting its positive terminal to a metal frame
Answer:
Technician B is correct
Explanation:
Grounding of component can be done by either connecting its positive terminal to a metal frame and then connecting its negative wire to the ground and not by mounting it on a major metal part hence Technician B is correct while Technician B is incorrect .
Electrical grounding is an alternate route created to allow excess current entering an equipment to go the ground without destroying the component
Harlin is designing a new car engine that does not create pollution. Which technological design factor is probably the most
important for his design?
OA.
appearance
ОВ.
how easy it is to drive
OC.
environmental impact
OD.
cost
Answer: environmental impact
Explanation:
From the question, we are informed that Harlin is designing a new car engine that does not create pollution.
The technological design factor which is probably the most important for the design is the impact on the environment.
Pollution has a negative effect on the environment a d doing this shows that emphasis is placed on how the environmental issue of pollution can be tackled.
Suppose your bathroom sink is clogged and you have decided to try and unclog it by pushing a wire into the drain. You have several types of wire available around the house, some insulated and some not. Which of the following wire characteristics would you need to consider in selecting a wire for the job?
The wire characteristics are listed as follows:
a. Immunity to electrical noise
b. Color of the insulation
c. Resistance of the insulation to salt water
d. Resistance of the insulation to fire
e. Cost
f. Stiffness
g. Ease of stripping the insulation -
h. Weight
i. Availability
j. Strength
k. Resistance to high temperatures
l. Resistance to stretching
Answer:
stiffness ( f )
weight ( h )
availability ( i )
strength ( j )
resistance to stretching ( l )
Explanation:
The wire characteristics to be considered for the job would be the mechanical characteristics only . therefore the characteristics to consider are :
stiffness: since you want to use the wire to unclog the sink it is necessary you consider the flexibility of the wire in order to achieve what you want weight: the lighter the wire the easier it can be used for the jobAvailability : the wire has to be very close and readily available for the job it will be used forStrength: The wire has to be strong enough so that it doesn't break inside the sinkResistance to stretching : The wire needs to have a high ductilityA square isothermal chip is of width w 5 mm on a side and is mounted in a substrate such that its side and back surfaces are well insulated; the front surface is exposed to the flow of a coolant at T 15 C. From reliability considerations, the chip temperature must not exceed T 85 C. If the coolant is air and the corresponding convection coefficient is h 200 W/m2 K, what is the maximum allowable chip power
Solution :
All of the electrical power dissipated in the chip is transferred by the convection to the coolant.
So P = q
and from the Newton's law of cooling,
[tex]$P = hA(T-T_ \infty) = hW^2(T-T_ \infty)$[/tex]
And in air,
[tex]$P_{max} = 200 \ W/m^2 . K (0.005 \ m)^2(85 - 15)^\circ C$[/tex]
= 0.35 W
In the dielectric liquid,
[tex]$P_{max} = 300 \ W/m^2 . K (0.005 \ m)^2(85 - 15)^\circ C$[/tex]
= 5.25 W
Relative to the liquids, the air is considered a poor heat transfer agent. So, in the air the chip are able to dissipate far less of energy than in the dielectric liquid.
The maximum allowable chip power is 0.35W.
To solve this question, we need to apply Newton's law of cooling.
Newton's law of coolingThis states that the rate of heat loss of a body is directly proportional to the difference in temperature between the body and its environment.
Mathematically; P∝ AΔT
[tex]P=hA(T-T_o)\\P=hw^2(T-T_o)\\[/tex]
Let's substitute the values into the above equation.
[tex]P_m_a_x=(200)(5*10^-^3)^2*(85-15)\\P_m_a_x=0.005*70\\P_m_a_x=0.35W[/tex]
From the calculation above, the maximum allowable chip power is 0.35W
Learn more on Newton's law of cooling here
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On a plastic part the iso code:
what? is this a question or a statement?
An LED camping headlamp can run for 18 hours, powered by three AAA batteries. The batteries each have a capacity of 1000 mAh, and a terminal voltage of 1.5 V, which you can assume to be constant over the full discharge range. The batteries are connected in series, so that the total battery pack voltage is the sum of the individual cell voltages.
a. What is the power consumption of the LEDs?
b. How much current do the LEDs draw?
Answer:
a) the power consumption of the LEDs is 0.25 watt
b) the LEDs drew 0.0555 Amp current
Explanation:
Given the data in the question;
Three AAA Batteries;
<---- 1000mAh [ + -] 1.5 v ------1000mAh [ + -] 1.5 v --------1000mAh [ + -] 1.5 v------
so V_total = 3 × 1.5 = 4.5V
a) the power consumption of the LEDs
I_battery = 1000 mAh / 18hrs { for 18 hrs}
I_battery = 1/18 Amp { delivery by battery}
so consumption by led = I × V_total
we substitute
⇒ 1/18 × 4.5
P = 0.25 watt
Therefore the power consumption of the LEDs is 0.25 watt
b) How much current do the LEDs draw
I_Draw = I_battery = 1/18 Amp = 0.0555 Amp
Therefore the LEDs drew 0.0555 Amp current
Based on the following passage, why might the government use the U.S. Army Corps of Engineers to undertake hydroelectric power projects instead of allowing private businesses to undertake them?
Before World War I, most power projects were developed by private interests. During the Great Depression, president Franklin Roosevelt developed federal hydropower projects to give low-cost energy to consumers. The U.S. Army Corps of Engineers undertook three major hydroelectric power projects during this era: the Bonneville Dam on the Columbia River, the Fort Peck Dam on the Missouri River, and the Passamaquoddy Tidal Power Project in Maine. Congress organized the Bonneville Power Administration in 1937 to distribute the power and set usage rates for all power generated at Bonneville Dam.
Hydroelectric power is closely linked to national security.
Private businesses are by law disallowed from engaging in hydroelectric power projects.
The government would have less power to control the cost of electricity from privately funded projects.
Private businesses have less expertise in hydroelectric power than the U.S. Army Corps of Engineers.
Answer:
The government would have less power to control the cost of electricity from privately funded projects.
Explanation:
According to the given excerpt, the government, the government decided to take over most of the hydroelectric power projects as opposed to privately owned corporations which previously held a monopoly. The major reason was to provide low-cost energy to consumers.
This decision taken by the government to use the Army Corps of Engineers to undertake hydroelectric power projects instead of allowing private businesses to undertake them was to allow the government have more power to control the cost of electricity.
In Texas, failure to ______
can cause you to be imprisoned for 5 years.
renew your license
register your vehicle
render ald at the scene of a collision
turn your headlights on at night
Answer:
I'd say render ald at the scene of a collision
If there are injuries from the accident, neglecting to stop and offer aid carries a maximum 5-year prison sentence and a $5,000 fine. The word “bodily injury” refers to physical discomfort, ailment, or any impairment of physical condition for the purposes of the Texas hit-and-run law. Thus, option C is correct.
What, Texas, failure to render ald at the scene of a collision?A felony of the third degree, which carries a sentence of two to ten years in prison and/or a fine of up to $10,000. May be committed as a result of an accident that results in death or significant bodily harm.
Furthermore, it's crucial to fill out your crash report truthfully and accurately because doing so could result in a criminal conviction, jail time, and fines.
Therefore, The combination of these measures is referred to as the motorist's duty to provide assistance and information. Failure to stop and render is a criminal crime in Texas, and there is a chance that you will face felony charges.
Learn more about failure here:
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A box-shaped aquarium has horizontal dimensions 0.5 m by 1 m, and depth 0.5 m, and is filled two-thirds of the way to the surface. As it is being transported downwards in an elevator, someone accidentally presses the emergency stop button, such that the elevator comes to rest with a deceleration of magnitude 2g, where the gravitational acceleration g = 9.81 m/s2 . Calculate the pressure difference between the bottom and the surface of the tank.
Answer:
3270 N/m^2
Explanation:
we can calculate the pressure difference between the bottom and surface of the tank by applying the equation for the net vertical pressure
Py = - Ph ( g ± a )
for a downward movement
Py = - Ph ( g - a ) ------ ( 1 )
From the above data given will be
p = 1000 kg/m^3, h = 2/3 * 0.5 = 0.33 m , a =2g , g = 9.81
input values into equation 1 becomes
Py = -Ph ( g - 2g ) = Phg ------ ( 3 )
Py = 1000 * 0.33 * 9.81
= 3270 N/m^2
An individual is planning to take an 800-mile trip between two large cities. Three pos-sibilities exist: air, rail, or auto. The person is willing to pay $25 for every hour savedin making the trip. The trip by air costs $600 and travel time is 8 hours, by rail the costis $450 and travel time is 16 hours, and by auto the cost is $200 and travel time is 20 hours.
(a) Which mode is the best choice?
(b) What factors other than cost might influence the decision regarding which mode to use?
Answer:
1. Auto is the best mode since it is the cheapest
2. Safety, reliability, convenience should be considered
Explanation:
1.
This person is willing to pay $25 per hour.
To get the mode, which is the best choice I used this formula
Cost of trip + 25T
T = time or number of hours
By air travel
Cost = $600, T = 8 hours
600+25(8)
= 600+200
= 800 dollars
By rail,
Cost = $450
T = 16 hours
450+25(16)
= 450+400
= 850 dollars
By auto,
Cost = $200
T = 20 hours
200+25(20)
= 200+500
= 700 dollars
From these calculations the cost of Traveling by auto is the cheapest so it is the best mode.
2. Other factors to consider when choosing an alternative mode of transport
A. Safety: this transportation material should be able to get to it's destination without any form of damages happening
B. Reliability: the material should be able to fulfill it's requirements
C. Convenience: in terms of availability per day and also the frequency of traveling time
In the planning process of the product development life cycle what is it important to inventory
A. Goals, mission, costs, and strengths
B. Goals, mission, capabilities, and constraints
C. Goals, mission, capabilities, cost, and strengths
D. Goals, mission, capabilities, cost and constraints
Your Answer would be A I believe.