if a 120v feeder for nonmotor loads feeds a continuous load rated at 20a and a noncontinuous load at 25a, what size overcurrent protective device should be selected?
Answers
The size overcurrent protective device that should be selected in this case is 50A.
What is an overcurrent protective device?An overcurrent protective device may be characterized as a piece of electrical equipment that is used to protect service, feeder, and branch circuits and equipment. These devices include circuit breakers and fuses.
According to the context of this question, overcurrent protection devices are to be sized no less than 125% of the continuous load, plus 100% of the noncontinuous load. But in this question, only 50 A of OCPD is used for nonmotor loads feeds a continuous load rated at 20A and a noncontinuous load at 25A.
Therefore, the size overcurrent protective device that should be selected in this case is 50A.
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Related Questions
what document is the primary reference document when making ethical decisions?
Answers
What size will it be if 4" is at scale 3/4" = 1"
Answers
Answer:
3
Explanation:
4*(3/4)=3
The mean base salary of a software engineering manager is $126,417 (Electronic Design's 2012 Engineering Salary Survey). Assume that the distribution of base salaries for all software engineers is mound-shaped and symmetric with a standard deviation of $15,000. (5 pts) Use your understanding of the Empirical Rule to find: a. The 26th percentile. b. The 97.5th percentile. c. Find the z-score for a salary of $170,000. Is this an outlier?
Answers
a. The 26th percentile of the software engineering manager salaries is approximately $111,417.
b. The 97.5th percentile of the software engineering manager salaries is approximately $171,417. The z-score for a salary of $170,000 is approximately 2.910, indicating that it is not considered an outlier based on the given standard deviation.
a. The 26th percentile can be found using the Empirical Rule. According to the Empirical Rule, in a mound-shaped and symmetric distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. Since we know the mean base salary is $126,417 and the standard deviation is $15,000, we can calculate the value of the 26th percentile as follows:
First, calculate one standard deviation below the mean:
$126,417 - $15,000 = $111,417
Since the distribution is symmetric, the 26th percentile will be the same as the 74th percentile, which is one standard deviation below the mean. Therefore, the 26th percentile is approximately $111,417.
b. The 97.5th percentile can also be determined using the Empirical Rule. In this case, since 99.7% of the data falls within three standard deviations of the mean, we can calculate the value of the 97.5th percentile as follows:
First, calculate three standard deviations above the mean:
$126,417 + (3 * $15,000) = $171,417
Therefore, the 97.5th percentile is approximately $171,417.
c. To find the z-score for a salary of $170,000, we can use the formula:
z = (x - μ) / σ
Where x is the given salary, μ is the mean, and σ is the standard deviation. Plugging in the values:
z = ($170,000 - $126,417) / $15,000 ≈ 2.910
A z-score of 2.910 indicates that the salary of $170,000 is approximately 2.910 standard deviations above the mean. It is not considered an outlier based on the z-score alone. Typically, an outlier is defined as a data point that falls outside a certain range, often determined by a specified number of standard deviations from the mean. In this case, whether $170,000 is considered an outlier would depend on the specific criteria or threshold set for defining outliers.
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Paper Clip
For each component of the materials used in the paper clip, explore the following:
Emphasis on material selection, process selection, and cost of manufacturing.
Examine the advantages, disadvantages, and costs of the materials used?
Study the bending method for manufacturing the paper clip.
Determine at what stage of manufacture and by which method should the surface treatment be performed.
Determine the final coating of the paper clip.
Answers
The main answer:Materials used in the paper clip There are different types of materials used in the manufacturing of the paper clip. Some of the most commonly used materials include stainless steel, zinc-coated steel, plastic, and aluminum.The material selection is crucial in the manufacturing of the paper clip.
The material must be strong enough to hold papers together. Additionally, it must be flexible and malleable to allow the bending of the paper clip.Process selection is also an essential aspect of paper clip manufacturing. The production process involves wire drawing, heat treatment, wire forming, surface treatment, and finishing.Cost of manufacturing is another essential aspect of the paper clip. The manufacturing cost should be kept low to allow for a low-cost product. Advantages, disadvantages, and costs of materialsStainless steel is the most commonly used material for paper clip manufacturing. Its advantages include high durability, corrosion resistance, and high strength.
However, its main disadvantage is that it's expensive to manufacture.Zinc-coated steel is also another material used for paper clip manufacturing. Its advantages include low cost and rust resistance. However, its main disadvantage is that it's not as strong as stainless steel.Plastic is another material used for paper clip manufacturing. Its advantages include low cost and versatility. However, its main disadvantage is that it's not strong enough for heavy-duty use.Aluminum is another material used for paper clip manufacturing. Its advantages include high strength and lightweight. However, its main disadvantage is that it's expensive to manufacture.Bending method for manufacturing the paper clipThe bending method involves the use of a wire bender to shape the wire into a paper clip. The wire is first cut into a specific length and then fed into the bender, which shapes it into a paper clip.The bending method is fast and efficient and can produce paper clips in large quantities.
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On some engines after torquing cylinder head fasteners you must
Answers
you must check that the head gasket is seated correctly and is not dislodged or slightly moved in some way or youl result in oil or coolant in the cylinders and loss of compression is possible to or a vacum leak in 1 or more cylinders
NEEDS TO BE IN PYTHON:ISBN-13 is a new standard for indentifying books. It uses 13 digits d1d2d3d4d5d6d7d8d910d11d12d13 . The last digit d13 is a checksum, which is calculated from the other digits using the following formula:10 - (d1 + 3*d2 + d3 + 3*d4 + d5 + 3*d6 + d7 + 3*d8 + d9 + 3*d10 + d11 + 3*d12) % 10If the checksum is 10, replace it with 0. Your program should read the input as a string. Display "incorrect input" if the input is incorrect.Sample Run 1Enter the first 12 digits of an ISBN-13 as a string: 978013213080The ISBN-13 number is 9780132130806Sample Run 2Enter the first 12 digits of an ISBN-13 as a string: 978013213079The ISBN-13 number is 9780132130790
Answers
Answer:
Follows are the code to this question:
n=input("Enter the first 12 digits of an ISBN-13 as a string:")#defining a varaible isbn for input value
if len(n)!=12: #use if block to check input value is equal to 12 digits
print("incorrect input") #print error message
elif n.isdigit()==False: #use else if that check input is equal to digit
print("incorrect input") #print error message
else:# defining else block
s=0 #defining integer vaiable s to 0
for i in range(12):#defining for loop to calculate sum of digit
if i%2==0: #defining if block to check even value
s=s+int(n[i])#add even numbers in s vaiable
else: #use else block for odd numbers
s=s+int(n[i])*3 #multiply the digit with 3 and add into s vaiable
s=s%10#calculate the remainder value
s=10-s#subtract the remainder value with 10 and hold its value
if s==10: #use if to check s variable value equal to 10
s=0#use s variable to assign the value 0
n=n+s.__str__() #u
Output:
please find attached file.
Explanation:In the above Python code, the "n" variable is used for input the number into the string format uses multiple conditional statements for a check input value, which can be defined as follows:
In if block, it checks the length isn't equal to 12, if the condition true, it will print an error message. In the else, if the block it checks input value does not digit, if the condition is true, it will print an error message. In the else block, it uses the for loop, in which it calculates the even and odd number sum, and in the odd number, we multiply by 3 then add into s variable. In this, the s variable is used to calculate its remainder and subtract from the value and use the if block to check, its value is not equal to 10 if it's true, it adds 0 into the last of n variable, otherwise, it adds its calculated value.
How can I find the quotient of 27 divided 91.8
Answers
Start by setting it up with the divisor 8 on the left side and the dividend 27 on the right side like this:
8 ⟌ 2 7
Step 2:
The divisor (8) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
0
8 ⟌ 2 7
Step 3:
Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.
0
8 ⟌ 2 7
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
0
8 ⟌ 2 7
- 0
2
Step 5:
Move down the 2nd digit of the dividend (7) like this:
0
8 ⟌ 2 7
- 0
2 7
Step 6:
The divisor (8) goes into the bottom number (27), 3 time(s). Therefore, put 3 on top:
0 3
8 ⟌ 2 7
- 0
2 7
Step 7:
Multiply the divisor by the result in the previous step (8 x 3 = 24) and write that answer at the bottom:
0 3
8 ⟌ 2 7
- 0
2 7
2 4
Step 8:
Subtract the result in the previous step from the number written above it. (27 - 24 = 3) and write the answer at the bottom.
0 3
8 ⟌ 2 7
- 0
2 7
- 2 4
3
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 27 divided by 8 calculated using Long Division is:
3
What is in a catalytic converter that makes it so expensive?.
Answers
Answer:
A catalytic converter is expensive because it needs rhodium to reduce smog levels. Rhodium, at its current value, is extremely expensive which makes using it in a catalytic converter expensive. To make up for their cost, manufacturers have to increase the price of the catalytic converter.
Explanation:
The effective resistance of parallel resistors is always _____ than the lowest individual value.
a) more
b) less
c) no different than
Answers
Answer:
A
Explanation:
Answer:
the answer is a
Explanation:
it is a because thats what the answer is
You disassemble and reassemble a computer. When you fi rst turn it on, you see no lights and hear no sounds. Nothing appears on the monitor screen. What is the most likely cause of the problem? Explain your answer. a. A memory module is not seated properly in a memory slot. b. You forgot to plug up the monitor’s external power cord. c. A wire in the case is obstructing a fan. d. Power cords to the motherboard are not connected.
Answers
Answer:
d. Power cords to the motherboard are not connected.
Explanation:
A motherboard in a computer is a hardware component that is connected to other different components inside a computer system like the C.P.U, main and secondary memories (RAM and ROM) , etc.
If the power cords to the motherboard isn't connected, then the Operating System (O.S) that is the interface between the computer won't turn on and there would be no lights nor sound.
Therefore, the most likely cause of the problem would be d. Power cords to the motherboard are not connected.
A 75-hp, 850 r/min, 500-V series motor has an efficiency of 90.2 percent
when operating at rated conditions. The series field has 30 turns/pole, and
the motor parameters are:
Armature
0.1414 ohms
IP + CW
0.0412 ohms
Series
0.0189 ohms
Resistance,
The motor has a maximum safe speed of 1700 r/min. Is it safe to operate the
motor with a 10-hp shaft load? Use the magnetization curve in Figure
11.16, and show all work. Neglect changes in windage and friction
Answers
It is not safe to operate the motor with a 10-hp shaft load.
Explanation :
Solution-
First, determine the rated speed and current of the motor:
Rated speed = 850 r/min
Rated current = 500 V / (0.1414 ohms + 0.0412 ohms + 0.0189 ohms) = 30.22 A
Next, determine the speed and current for a 10-hp shaft load:
Speed = 1700 r/min
Current = 10 hp / (75 hp * 0.902) = 0.1343 A
Finally, determine whether it is safe to operate the motor with the 10-hp shaft load using the magnetization curve. we can see that the current at 1700 r/min is 0.1264 A, which is less than the current for the 10-hp shaft load (0.1343 A).
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Two technicians are explaining what exhaust gas emissions tell you about engine operation. Technician A says that the higher the level of CO2 in the exhaust stream, the more efficiently the engine is operating. Technician B says that CO2 levels of 20 to 25 percent are considered acceptable. Who is correct?
A. Both Technicians A and B
B. Neither Technicians A and B
C. Technician A
D. Technician B
Answers
Technicians A is correct in the given scenario. The correct option is C.
What is exhaust gas?Exhaust gas is a byproduct of combustion that exits the tailpipe of an internal combustion engine.
It consists of a gas mixture that includes carbon dioxide (CO2), carbon monoxide (CO), nitrogen oxides (NOx), hydrocarbons (HC), and particulate matter (PM).
Technician B is mistaken. CO2 levels in the exhaust should be less than 15%, preferably between 13% and 14.5% for petrol engines and 11% to 13% for diesel engines.
High CO2 levels can actually indicate inefficient engine operation, as it means that not all of the fuel in the engine is being burned and is being wasted as exhaust.
Thus, C is the correct answer. A technician is correct.
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Problem 11:(5 x 2 = 10 Points)For the following circuit, vs(t) = 750cos(5000t + 30°)(a) What is the amplitude, frequency and phase of vs (t)?Represent vs (t) in its phasor form. Find XL, Xc and total impedance Z of the circuit. (c)Find i(t) flowing the circuit.Explain whether the circuit is Capacitive or Inductive (you can find this from phase of I. If ?' has positive phase, the circuit will be inductive otherwise capacitive.(£) What is the frequency at which the circuit will be at resonance?
Answers
So the frequency at which the circuit will be at resonance is approximately 5.032 kHz.
(a) The amplitude of vs(t) is 750, the frequency is 5 kHz (5000/2π), and the phase is 30°.
In phasor form, vs = 750∠30°.
(b) The inductor impedance XL = jωL = j(2πfL) = j(2π)(5 kHz)(10 mH) = j314.16 Ω.
The capacitor impedance Xc = 1/(jωC) = 1/(j2πfC) = 1/(j2π)(5 kHz)(0.1 µF) = -j318.31 Ω.
The total impedance Z = R + XL + Xc = 100 + j314.16 - j318.31 = 100 - j4.15 Ω.
(c) The circuit is in series, so the current i(t) flowing through the circuit is given by:
i(t) = vs(t) / Z = (750∠30°) / (100 - j4.15) = 7.47∠-1.85° A
(d) The circuit is capacitive since the current has a negative phase angle.
(e) At resonance, XL = Xc, which gives:
2πfL = 1/(2πfC)
Solving for f gives:
f = 1 / (2π√(LC)) = 1 / (2π√(10 mH × 0.1 µF)) ≈ 5032 Hz
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which of the following is a function of a safety device
Answers
Answer:
what are the options available?
Describe the differences between case hardening and through hardening, insofar as engineering applications of metals are concerned.
Answers
Answer:
The answer is below
Explanation:
Case hardening is a form of steel hardening that is applied on mild steel with a high temperature of heat.
It results in material forming a hard surface membrane, while the inner layer is soft.
It is mostly used for universal joints, construction cranes, machine tools, etc.
On the other hand, Through hardening is a form of steel hardening in engineering that involves heat treatment of carbon steel.
It increases the hardness and brittleness of the material.
It is often used for axles, blades, nuts and bolts, nails, etc.
A _______________________________ system utilizes a carbon canister that is connected to both the engine vacuum line and the air space in the fuel tank. The carbon canister collects fuel vapors from the fuel tank during storage and operation. When the engine is operating, intake vacuum draws the fuel vapors from the carbon canister into the engine intake system and the engine consumes them.
Answers
An evaporative emissions control fuel system utilizes a carbon canister that is connected to both the engine vacuum line and the air space in the fuel tank.
What emission is gas?
Nitrous oxide, methane, and carbon dioxide are released when natural gas and petroleum products are burned for cooking and heating (N2O). In the residential and commercial sectors in 2020, emissions from the use of natural gas account for 79% of the direct emissions from fossil fuels. Because it lessens the effects of global climate change, enhances public health, strengthens the world economy, and preserves biodiversity, lowering your carbon footprint is crucial. By reducing carbon emissions, we contribute to the protection of future generations' access to healthier food, water, and air. Using renewable energy sources and other environmentally friendly energy sources to generate electricity on-site can minimize greenhouse gas emissions.To learn more about emissions refer to:
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what is a geometric parameter that, as a structural engineer, we can modify to reduce the bending stress for a given moment? explain your answer.
Answers
These transversal loads will result in a base shear V and a tension force M that both induce normal stress and shear stress, respectively.
What makes it a moment?It can seem like to use the term "a brief duration" in addition to referring to physical motion because the word minute appears to have Latin roots that signify movement, change, or alteration.
What unit of time is a moment?Units of due to the force distance are used to express the moment's size. The normal English measures for a momentary are feet pounds, but the standard unit units for moment magnitude are newton meters.
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a weight of 20 lb is applied to a cylinder that is full of water. The Piston area is 4.5 inches squared. what is the pressure of the water? round to one "decimal" place.
Answers
Answer:
6.564 is the answers i learned that in the american school i live there
Given the binary number 11011011
What is its
Unsigned binary Number ?
Answers
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
technician a says that you should clean the caliper mountings and slides/pins using equipment/procedures for dealing with asbestos/hazardous dust. technician b says that once the dust is taken care of, you may need to use a brake cleaning solvent to clean the components further. who is correct? group of answer choices technician a technician b both technician a and technician b neither technician a nor technician b
Answers
Technician B says that once the dust is gone, you might need to clean the parts with a brake cleaning solvent. Both are correct.
What exactly are caliper mountings?When working with hazardous materials like asbestos dust, it's critical to follow proper safety procedures. To reduce the likelihood of being exposed, this might entail wearing protective gear like gloves and respirators and adhering to specific cleaning procedures.
As a result, the caliper mountings and slides/pins may require further cleaning with a brake cleaning solvent after the hazardous dust has been appropriately removed. When using any cleaning solvent, it is essential to follow the directions provided by the manufacturer and to exercise caution.
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the train carrying toxic chemicals that derailed in east palestine, ohio, was operated by what railroad company?
Answers
It is important to note that incidents involving hazardous materials can pose significant risks to public health and safety
To address your question, according to news reports from January 2021, a train carrying toxic chemicals derailed in East Palestine, Ohio. While the details surrounding the incident are unclear, it is known that the train was carrying hazardous materials, including ethanol and hydrochloric acid. The derailment resulted in a large fire, prompting a response from local authorities and hazardous materials teams.
Unfortunately, I do not have access to information on the specific railroad company that operated the train. However, it is not uncommon for incidents which involves risks to prompt investigations and inquiries into the safety practices of railroad companies and their transportation of hazardous materials.
It is important to note that incidents involving hazardous materials can pose significant risks to public health and safety, as well as the environment. Local authorities and emergency response teams work diligently to contain these incidents and mitigate any potential harm. If you live in an area where hazardous materials transportation occurs, it is recommended that you stay informed and educated on the risks and safety measures in place.
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Six 15-HP continuous-duty motors are connected to a common 480-volt feeder. The nameplate of each motor indicates: Full load amps 18.6, NEMA Code B, and SF 1.10. The conductors supplying each motor are to be copper with THHN insulation, and the feeder conductors supplying all motors are to be copper with THHN insulation. What size conductor should be used to supply each motor and what size conductor should be used for the feeder conductor
Answers
The size conductor that should be used to supply each motor is 12 AWG and the size conductor that should be used for the feeder conductor is 1/0AWG.
Size conductora. Using NEC table 430.250
Running connect for 150HP connected to 460V = 21 A
Conductor size=25% current to 125% current (Increase)
Increase current=21×125/100
Increase current=26.25 A
Nearest standard conductor size using NEC table 310.15(B)(16)=25 A
Since the motor contain NEMA design code the conductor will be choosing from 75° column which means that the size conductor that should be used to supply each motor is 12AWG copper conductors.
b. Feeder conductor
Using NEC section 430.24 plus ampere rating of other motors
Running current
Using NEC Table 430.250
Running current=26.25+21+21+21+21+21
Running current=131.25 A
The value that is greater than 131.25 A under 75° column of NEC Table 310 (B)(16) is 150 A which means that the size conductor that should be used for the feeder conductor is 1/0 AWG conductors.
Therefore the size conductor that should be used to supply each motor is 12 AWG and the size conductor that should be used for the feeder conductor is 1/0AWG.
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3. Suppose up to 300 cars per hour can travel between any two of the cities 1, 2, 3, and 4. Formulate a maximum flow problem that can be used to determine how many cars can be sent in the next two hours from city 1 to city 4. Give the network diagram and the LP formulation for your model.
Answers
Let $x ij$ represent the quantity of cars that will be delivered in the following two hours from city I to city j.
Create a maximum flow issue?Network Diagram:
LP Formulation:
Maximize Z = 150x14 + 150x24
Subject to:
x11 + x12 + x13 + x14 <= 300 (flow from city 1 to other cities)
x21 + x22 + x23 + x24 <= 300 (flow from city 2 to other cities)
x31 + x32 + x33 + x34 <= 300 (flow from city 3 to other cities)
x41 + x42 + x43 + x44 <= 300 (flow from city 4 to other cities)
x11 + x21 + x31 + x41 = 150 (flow into city 1)
x12 + x22 + x32 + x42 = 150 (flow into city 2)
x13 + x23 + x33 + x43 = 150 (flow into city 3)
x14 + x24 + x34 + x44 = 150 (flow into city 4)
xij >= 0 (all variables must be positive)
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What unit of electricity is used as a signal for a computer?
Answers
Answer:
A power supply unit (PSU) converts mains AC to low-voltage regulated DC power for the internal components of a computer. Modern personal computers universally use switched-mode power supplies
Answer:
Volt is the SI (Standard International) unit of electrical potential of the..
Explanation:
Describe experimental factors that could be modified, and unalterable properties of materials used.
Answers
Answer:
a. mechanical properties
b. thermal properties
c. chemical properties
d. electical properties
e. magnetic properties
Explanation:
a. The mechanical properties of a material are those properties that involve a reaction to an applied load.The most common properties considered are strength, ductility, hardness, impact resistance, and fracture toughness, elasticity, malleability, youngs' modulus etc.
b. Thermal properties such as boiling point , coefficient of thermal expansion , critical temperature , flammability , heat of vaporization , melting point ,thermal conductivity , thermal expansion ,triple point , specific heat capacity
c. Chemical properties such as corrosion resistance , hygroscopy , pH , reactivity , specific internal surface area , surface energy , surface tension
d. electrical properties such as capacitance , dielectric constant , dielectric strength , electrical resistivity and conductivity , electric susceptibility , nernst coefficient (thermoelectric effect) , permittivity etc.
e. magnetic properties such as diamagnetism, hysteresis, magnetostriction , magnetocaloric coefficient , magnetoresistance , permeability , piezomagnetism , pyromagnetic coefficient
Process synchronization can be done on
Answers
Answer:
it is c) both (a) and (b)
Explanation:
Sharon has just invented a new tractor that will plow and plant a new hybrid of corn at the same time. Which type of engineer is she?
Answers
Answer:
Agricultural engineer
Using the charts below, if you knew that a 1 mm diameter copper-nickel alloy wire can withstand a maximum load (before plastic deformation) of 78.54 N, and possesses an electrical resistance of 0.5 Ohms, then what is its length
Answers
Answer:
L = 10.32 m
Explanation:
The resistance of a copper-nickel alloy wire is given by the following formula:
\(R = \frac{\rho L}{A}\)
where,
R = Resistance = 0.5 Ω
ρ = resistivity of copper-nickel alloy = 3.8 x 10⁻⁸ Ωm
L = Length of wire = ?
A = cross-sectional area of wire = \(\frac{\pi d^2}{4} = \frac{\pi(1\ x\ 10^{-3}\ m)^2}{4}\) = 7.85 x 10⁻⁷ m²
Therefore,
\(0.5\ \Omega = \frac{(3.8\ x\ 10^{-8}\ \Omega.m)L}{7.85\ x\ 10^{-7}\ m^2}\)
L = 10.32 m
a cylinder with a 2 inch diameter bore is pushing a load up a 28 degree slope. there is a coefficient of friction of 0.13 between the load and the surface. the load weighs 1,615 lbs. what is the pressure (in psi) in the cap end of the cylinder when the cylinder is being extended at a constant velocit
Answers
Result:
The pressure in the cap end of the cylinder when extended at a constant velocity = ≈ 14,636 psi.
How do we calculate the pressure in the cap end of the cylinder?We can calculate the pressure in the cap end of the cylinder when extended at a constant velocity by:
Given:
Cylinder bore diameter = 2 inches
Load weight = 1,615 lbs
Coefficient of friction = 0.13
Slope angle = 28 degrees
Calculate the force of gravity on the load:
Load force = Load weight * acceleration due to gravity
Load force = 1,615 lbs * 32.2 ft/s² (acceleration due to gravity)
Load force = 51,943 lbs
Calculate the frictional force on the load:
Normal force = Load force * cos(slope angle)
Normal force = 51,943 lbs * cos(28 degrees)
Normal force = 46,151 lbs
Frictional force = Coefficient of friction * Normal force
Frictional force = 0.13 * 46,151 lbs
Frictional force = 5,999 lbs
Calculate the net force on the cylinder:
Net force = Load force - Frictional force
Net force = 51,943 lbs - 5,999 lbs
Net force = 45,944 lbs
Calculate the pressure in the cap end of the cylinder:
Cap end area = pi * (Cylinder bore diameter / 2)²
Cap end area = 3.14 * (2 inches / 2)²
Cap end area = 3.14 square inches
Pressure = Net force / Cap end area
Pressure = 45,944 lbs / 3.14 square inches
Pressure = 14,636 psi
Therefore, the pressure in the cap end of the cylinder when extended at a constant velocity = ≈ 14,636 psi.
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(b) Determine the magnitude and the direction of the resultant of forces shown below using Cartesian vector notation method. (10Marks) F3-700N F2=600N 45% 30⁰ 3 S 4 X F1-800N R = 527-7N O = 72.9°
Answers
The magnitude and direction of the resultant of the given forces using Cartesian vector notation method are R = 942.6N at 246.9°.
What is the explanation for the above response?To solve this problem using Cartesian vector notation method, we need to find the x- and y-components of each force, add up the components separately, and then find the magnitude and direction of the resultant vector.
First, let's find the x- and y-components of each force:
F1 = 800N at 45°
Fx1 = F1 * cos(45°) = 800N * cos(45°) = 565.7N
Fy1 = F1 * sin(45°) = 800N * sin(45°) = 565.7N
F2 = 600N at 30°
Fx2 = F2 * cos(30°) = 600N * cos(30°) = 519.6N
Fy2 = F2 * sin(30°) = 600N * sin(30°) = 300N
F3 = 700N at 180° (horizontal direction)
Fx3 = F3 = -700N
Fy3 = 0N
Next, let's add up the x- and y-components of the three forces:
Rx = Fx1 + Fx2 + Fx3 = 565.7N + 519.6N - 700N = 385.3N
Ry = Fy1 + Fy2 + Fy3 = 565.7N + 300N + 0N = 865.7N
The magnitude of the resultant vector R is:
|R| = sqrt(Rx^2 + Ry^2) = sqrt(385.3N^2 + 865.7N^2) = 942.6N
The direction of the resultant vector R is:
theta = arctan(Ry/Rx) = arctan(865.7N/385.3N) = 66.9°
However, we need to adjust the angle by adding 180° because the vector points into the third quadrant:
theta = 66.9° + 180° = 246.9°
Therefore, the magnitude and direction of the resultant of the given forces using Cartesian vector notation method are R = 942.6N at 246.9°.
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