The system securely processes my payment, and I receive a confirmation email with the hike's details and meeting point. On the day of the hike, I arrive at the designated location, where the guide is already waiting for the group.
a) Here are two recent journal articles related to software testing:
S. Ullah, A. Hanif, and M. Ali Babar, "An Exploratory Study on the Effectiveness of Agile Testing Practices," in IEEE Access, vol. 9, pp. 10040-10050, 2021.
Link: https://ieeexplore.ieee.org/document/9391606
S. Rastogi, B. Kumar and O. P. Sangwan, "A Review of Software Testing Techniques and Tools," in Lecture Notes in Networks and Systems, vol. 180, pp. 19-31, 2021.
Link: https://link.springer.com/chapter/10.1007/978-981-15-8760-5_2
b) A computer-based system that can help ecotourism clients boost their business during the Covid-19 endemic phase is a virtual tour platform. The system would allow customers to take virtual tours of tourist spots and nature reserves, providing them with an immersive experience of the location without actually being there. The virtual tour platform can be accessed through a web or mobile application.
i. The virtual tour platform allows ecotourism clients to showcase their tourist spots and nature reserves to potential customers in a safe and engaging way. The system works by creating a 3D virtual environment of the location, which customers can explore using their devices. Customers can take a virtual tour of the location, view images and videos, read descriptions and even interact with the environment in some cases.
ii. As a user, I want to take a virtual tour of a nature reserve so that I can experience the location before deciding to book a physical visit. Using the virtual tour platform, I can select the nature reserve I am interested in and take a 360-degree virtual tour of the location. In the virtual tour, I can see the different ecosystems and wildlife present in the reserve, read descriptions about them, and even interact with some elements of the environment. By taking a virtual tour, I can make an informed decision about whether to visit the nature reserve physically or not during the Covid-19 endemic.
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HELP!!!________ are designed to make it easier for employees to get health and safety information about chemicals.
A) Safety Data Sheets (SDS
)B) ANSI standards
C) Globally Harmonized Systems (GHS)
D) Personal Protective Equipment Standards
The Safety Data Sheets are designed to make it easier for employees to get health and safety information about chemicals (Option A). They are fundamental for handling hazardous chemicals.
Safety Data SheetsSafety Data Sheets are pieces of useful information developed by a manufacturer of a hazardous chemical.
These sheets (safety data sheets) include different types of data including, among others, chemical properties; physical hazards, environmental hazards, etc.
Safety data sheets also include different measures for the safety and protection of overall health, which is often related to issues such as, for example, how to store and/or transport the target chemical.
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matter can exist in various phases, including solid, liquid, and gas. most matter can change from one phase to another depending on how much heat is gained or lost during phase changes. compare and contrast each of the three phases of matter in terms of particle arrangement, motion, and temperature. also explain how each type of phase change occurs in terms of heat lost or gained. answers should include an illustration of a heating/cooling curve
Matter can exist in different phases, namely solid, liquid, and gas. Let's compare and contrast these phases in terms of particle arrangement, motion, temperature, and phase changes. In a solid, particles are closely packed in a regular pattern, forming a fixed shape. The particles vibrate in their positions but don't move freely. Solid's temperature remains constant during a phase change.
Phase changes occur due to heat gained or lost. When heat is added, solids can melt into liquids (fusion) and liquids can vaporize into gases (vaporization). These processes require energy input to break intermolecular forces. When heat is removed, gases can condense into liquids (condensation) and liquids can freeze into solids (solidification). These processes release energy as heat is removed and intermolecular forces strengthen.
A heating/cooling curve illustrates the relationship between heat added/removed and temperature changes during phase changes. It typically shows temperature on the y-axis and time on the x-axis. The curve has flat portions where phase changes occur, indicating a constant temperature during those changes. I hope this helps! Let me know if you have any further questions.
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What kind of job does mike have? Mike’s job is to study blueprints, evaluate product stability, and to examine the safety of products. Mike’s works as a/n blank engineer with a manufacturing company.
Answer: a drafting engineer
Explanation:
You are getting ready to transport troops in an M1152 configured with cargo cover and troops seats. Which of the following should you do before starting out?
Answer:
I believe it would be to lower the troop seats.
Explanation:
A frost free, 17 cu. ft. refrigerator-freezer uses energy at a rate of 500. watts when you hear the compressor running. If the fridge runs for 200. hours per month, how many kilowatt-hours of energy does the refrigerator use each month
Answer:
100 kWh
Explanation:
Since the freezer has a rating of 500 watts and runs for 200 hours in a month, the energy consumption can be gotten by getting the product of the rating of the freezer in kilowatts and the amount of time the fridge is on per month.
The rating of the freezer = 500 watts = 0.5 kW, time = 200 h
Energy consumption = rating * time = 0.5 kW * 200 h
Energy consumption = 100 kWh
Therefore the refrigerator uses 100 kWh per month
consider an airfoil in a free stream with a velocity of 60 m/s at standard sea-level conditions. at a point on the airfoil, the pressure is 9.4 x 104 n/m2. what is the pressure coefficient at this point?
To find the pressure coefficient at a given point on an airfoil, we need to use the equation:
Cp = (\(P - P0) / (0.5 * ρ * V^2)\)
Where:
Cp is the pressure coefficient
P is the pressure at the given point on the airfoil\((9.4 x 10^4 N/m^2)\)
P0 is the free stream pressure (which is the same as the standard sea-level pressure)
ρ is the air density at standard sea-level conditions (around 1.225 kg/m^3)
V is the free stream velocity (60 m/s)
First, we need to find the value of P0, which is the standard sea-level pressure. This value is typically around 101325 Pa.
Next, we can substitute the given values into the equation:
Cp \(= (9.4 x 10^4 - P0) / (0.5 * 1.225 * 60^2)\)
Simplifying this expression gives us the value of the pressure coefficient at the given point on the airfoil.
Please note that the equation assumes incompressible flow, which is a valid assumption for many aerodynamic applications.
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Simplify the following using K-Map
05
(a) Z (A,B,C,D) = (0,2,3,6,7,8,9,10,11,12,13,14,15)
(b) F(w.x.y.x) = {3,4,5,7,9,13,14,15)
!!
Answer:
b
Explanation:
1)A wheel is used to turn a valve stem on a water valve. If the wheel radius is 1 foot and the stem, (axle), radius is .5 inches, what is the mechanical advantage of the wheel and axle? 2)How much resistance force can ideally be overcome when an effort of 80 lbs is applied to the wheel of the water valve in problem 1? 3)What is the linear distance traveled when a 2.5' diameter wheel makes one revolution? 4)A compressor motor has a 1.00 inch output shaft (axle) that drives a 4.00inch pulley (wheel). If the motor output shaft supplies 24 lbs of force, ideally how much force does the pulley apply to the drive belt wrapped around it? 5) If the belt pulley's force is measured to be 4 lbs, what is the AMA wheel and axle here?6) What is the efficiency of the compressor motor – belt pulley wheel and axle?
Answer:
for 13
Explanation:
''.''
What is polarized electrical receptacle used for
Answer:
they are used for electrical currents so that they can flow along the appropriate wires in the circuit
Explanation:
To ensure safety and reliable electrical connections, polarized electrical receptacles are employed.
It is frequently seen in both residential and commercial structures and has two slots, one of which is broader than the other.
In a polarised outlet, the neutral slot is broader than the hot slot, which is smaller. To ensure that electrical appliances or gadgets are connected correctly and consistently, this design was created.
By ensuring a steady flow of energy through the instrument, polarization lowers the chance of electric shock.
Thus, it's crucial to remember that not all electrical appliances need polarized plugs.
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b) 23.5 years + 2.6 light years
The lattice parameter of copper is 0.362 nanometer. The atomic weight of copper is 63.54 g/mole. Copper forms a fcc structure. Answer the following questions.
a. Volume the unit cell in cubic centimeters in cubic centimeters is:______
b. Density of copper in g/cm^3 is:________
Answer:
a) 4.74 * 10^-23 cm^3
b) 8.9 g/cm^3
Explanation:
Given data :
Lattice parameter of copper = 0.362 nM
Atomic weight of copper = 63.54 g/mole
Given that copper forms a fcc structure
a) Calculate the volume of the unit cell
V = a^3
= ( 0.362 * 10^-7 cm )^3 = 4.74 * 10^-23 cm^3
b) Calculate density of copper in g/cm^3
Density = ( n*A ) / ( Vc * NA) ----------- ( 1 )
where: NA = Avogadro's number = 6.022 * 10^23 atoms/mol
n = number of atoms per unit cell = 4
A = atomic weight = 63.54 g/mol
Vc = volume of unit cell = 4.74 * 10^-23 cm^3
Input values into equation 1
Density = 8.9 g/cm^3
thì nghiệm nén xác định cường độ của bê tông trên ba mẫu thí nghiệm hình trụ HxD=300x150(mm). kết quả thu được lực phá hoại P1=45200daN, P2=46800daN, P3=46000daN. hãy xác định cường độ chịu nén của bê tông theo TCNV 3118:1993
spanish
Explanation:
the above question is written in spanish
What are the differences between separately and shunt DC motor?
Plumbing
The should indicate the materials, fixtures, and faucets to be
used.
A. specifications
B. plumbing code
C. mechanical code
D. plumbing instructor
Answer:
B....................
Question 1 Conduct a risk assessment for the following tasks performed on ships: - Cleaning liquid cargo spilled from a container carrying dangerous goods (Class 5). - Entering confined space to rescue an injured crew member (sprained ankle). The students should: i) Identify all associated risks ii) Classify the risks under the following risk estimation framework: iii) Develop strategies to mitigate the identified risks. No word limit. [20 Marks]
Identify risks: Cleaning hazardous liquid spills (medium likelihood, major severity), confined space rescue (high likelihood, moderate severity). Mitigate risks with PPE, training, protocols, and proper ventilation.
Step 1: Identify all associated risks:
a) Cleaning liquid cargo spilled from a container carrying dangerous goods (Class 5):
- Exposure to hazardous chemicals or substances in the spilled cargo.
- Risk of chemical burns or respiratory problems due to inhalation or contact with the dangerous goods.
- Slippery surfaces leading to falls and injuries.
- Fire or explosion risks if the spilled cargo is flammable or reactive.
b) Entering confined space to rescue an injured crew member (sprained ankle):
- Lack of oxygen or presence of toxic gases in the confined space.
- Risk of physical injuries due to confined space hazards such as uneven surfaces, low visibility, or falling objects.
- Difficulty in accessing and rescuing the crew member due to limited space.
Step 2: Classify the risks under the risk estimation framework:
The risk estimation framework can vary, but a commonly used approach is to assess risks based on their likelihood and severity. For each identified risk, assign a rating for likelihood (e.g., low, medium, high) and severity (e.g., minor, moderate, major).
Example:
- Cleaning liquid cargo spilled from a container carrying dangerous goods:
- Likelihood: Medium
- Severity: Major
- Entering confined space to rescue an injured crew member:
- Likelihood: High
- Severity: Moderate
Step 3: Develop strategies to mitigate the identified risks:
a) Cleaning liquid cargo spilled from a container carrying dangerous goods:
- Provide appropriate personal protective equipment (PPE) to workers involved in the cleanup.
- Train workers on proper handling and disposal procedures for hazardous materials.
- Implement spill containment measures and cleanup protocols.
- Conduct regular inspections and maintenance of containers to minimize the risk of spills.
b) Entering confined space to rescue an injured crew member:
- Assess the confined space for hazardous conditions and ensure proper ventilation before entry.
- Use a buddy system and have a standby person outside the confined space for communication and assistance.
- Equip the rescue team with appropriate PPE, including gas detectors, harnesses, and rescue equipment.
- Establish emergency response procedures and provide training to crew members on confined space rescue techniques.
It is important to note that risk assessment should be conducted by qualified professionals who have expertise in ship operations and safety regulations. The strategies mentioned above are general recommendations and may need to be tailored based on specific ship and task requirements. Regular reviews and updates of risk assessments should be conducted to ensure ongoing safety and compliance.
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Hei can someone help me with homework
The total power derived from the the plate that heats the room, given the temperature in the room would be 2.065 W.
How to find the total power derived ?To calculate the total power radiated from the plate, we'll use the Stefan-Boltzmann law:
P = ε x σ x A x (T_plate^4 - T_room^4)
First, let's convert the temperatures to Kelvin:
Tplate = 79°C + 273.15K = 352.15K
Troom = 22°C + 273.15K = 295.15K
Now, we can plug in the values into the Stefan-Boltzmann law:
P = 0.63 x (5.67 x 10^-8 W/(m^2 x K^4)) x 0.307 m^2 x (352.15^4 K^4 - 295.15^4 K^4)
P ≈ 8.638 x 10^-6 x 239103.81
P = 2.065 W
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In the context of mechanical systems, what does the term efficiency mean? OA the factor by which a machine multiplies a force B. the ratio of a machine's power to the force of its input Ос. the rate at which a machine performs work D. the rate at which a machine consumes energy E. the ratio of the work output of a machine to the work input
Answer:
E
Explanation:
I have a big brain and I just took the test and got it correct.
A battery with an f.e.m. of 12 V and negligible internal resistance is connected to a resistor of 545 How much energy is dissipated by the resistor in 65 s?
Answer:
When are resistors in series? Resistors are in series whenever the flow of charge, called the current, must flow through devices sequentially. For example, if current flows through a person holding a screwdriver and into the Earth, then
R
1
in Figure 1(a) could be the resistance of the screwdriver’s shaft,
R
2
the resistance of its handle,
R
3
the person’s body resistance, and
R
4
the resistance of her shoes.
Figure 2 shows resistors in series connected to a voltage source. It seems reasonable that the total resistance is the sum of the individual resistances, considering that the current has to pass through each resistor in sequence. (This fact would be an advantage to a person wishing to avoid an electrical shock, who could reduce the current by wearing high-resistance rubber-soled shoes. It could be a disadvantage if one of the resistances were a faulty high-resistance cord to an appliance that would reduce the operating current.)
Two electrical circuits are compared. The first one has three resistors, R sub one, R sub two, and R sub three, connected in series with a voltage source V to form a closed circuit. The first circuit is equivalent to the second circuit, which has a single resistor R sub s connected to a voltage source V. Both circuits carry a current I, which starts from the positive end of the voltage source and moves in a clockwise direction around the circuit.
Figure 2. Three resistors connected in series to a battery (left) and the equivalent single or series resistance (right).
To verify that resistances in series do indeed add, let us consider the loss of electrical power, called a voltage drop, in each resistor in Figure 2.
According to Ohm’s law, the voltage drop,
V
, across a resistor when a current flows through it is calculated using the equation
V
=
I
R
, where
I
equals the current in amps (A) and
R
is the resistance in ohms
(
Ω
)
. Another way to think of this is that
V
is the voltage necessary to make a current
I
flow through a resistance
R
.
So the voltage drop across
R
1
is
V
1
=
I
R
1
, that across
R
2
is
V
2
=
I
R
2
, and that across
R
3
is
V
3
=
I
R
3
. The sum of these voltages equals the voltage output of the source; that is,
V
=
V
1
+
V
2
+
V
3
.
This equation is based on the conservation of energy and conservation of charge. Electrical potential energy can be described by the equation
P
E
=
q
V
, where
q
is the electric charge and
V
is the voltage. Thus the energy supplied by the source is
q
V
, while that dissipated by the resistors is
q
V
1
+
q
V
2
+
q
V
3
.
Explanation:
you are waiting in the intersection to complete a left turn. you should
You should wait until the traffic has cleared, and it is safe to make a left turn. Follow all traffic signals and use caution when making a left turn. Be sure to check for pedestrians and other vehicles in the intersection before making the turn.
When making a left turn at an intersection, it is important to exercise caution and follow the traffic signals. Before turning, one should be sure to check for any oncoming traffic, as well as pedestrians. If there is traffic present, one needs to wait until the traffic has cleared before making the turn. Additionally, it is important to ensure that there are no vehicles in the intersection that may impede the turn. Once it is safe to do so, it is important to signal the turn and proceed with caution. By taking these steps, one can ensure a safe and successful left turn at an intersection.
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A 4-pole, 3-phase induction motor operates from a supply whose frequency is 60 Hz. calculate: 1- the speed at which the magnetic field of the stator is rotating. 2- the speed of the rotor when the slip is 0.05. 3- the frequency of the rotor currents when the slip is 0.04. 4- the frequency of the rotor currents at standstill.
Answer:
The answer is below
Explanation:
1) The synchronous speed of an induction motor is the speed of the magnetic field of the stator. It is given by:
\(n_s=\frac{120f_s}{p}\\ Where\ p\ is \ the \ number\ of\ machine\ pole, f_s\ is\ the\ supply \ frequency\\and\ n_s\ is \ the \ synchronous\ speed(speed \ of\ stator\ magnetic \ field)\\Given: f_s=60\ Hz, p=4. Therefore\\\\n_s=\frac{120*60}{4}=1800\ rpm\)
2) The speed of the rotor is the motor speed. The slip is given by:
\(Slip=\frac{n_s-n_m}{n_s}. \\ n_m\ is\ the \ motor\ speed(rotor\ speed)\\Slip = 0.05, n_s= 1800\ rpm\\ \\0.05=\frac{1800-n_m}{1800}\\\\ 1800-n_m=90\\\\n_m=1800-90=1710\ rpm\)
3) The frequency of the rotor is given as:
\(f_r=slip*f_s\\f_r=0.04*60=2.4\ Hz\)
4) At standstill, the speed of the motor is 0, therefore the slip is 1.
The frequency of the rotor is given as:
\(f_r=slip*f_s\\f_r=1*60=60\ Hz\)
Type the correct answer in the box. Spell all words correctly.
Thomas is checking an electrical wire in a washroom with a wet floor. What in the electrical wire will help prevent electrical shock
Thomas is checking an electrical wire in a washroom with a wet floor. Ground-fault circuit interrupters in the electrical wire will help prevent electrical shock.
What is Ground-fault circuit interrupters?The ground-fault circuit interrupter, or GFCI, is a quick-response circuit breaker that may cut off electricity in as little as 1/40 of a second in the event of a ground fault.
It compares the current flowing into and out of the machinery along the conductors of the circuit.
Therefore, electrical shock can be avoided with the aid of ground-fault circuit interrupters in the electrical line.
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This wired networking standard specifies the order in which data is sent through the network.
Select one:
a. Ethernet
b. WiMAX
c. LTE
d. TCP/IP
The wired networking standard that specifies the order in which data is sent through the network is Ethernet.
Ethernet is a widely used wired networking standard that defines the protocols and specifications for data transmission over a local area network (LAN). It specifies the order in which data is sent through the network by utilizing the Carrier Sense Multiple Access with Collision Detection (CSMA/CD) algorithm.
The CSMA/CD algorithm ensures that multiple devices connected to an Ethernet network can share the same communication medium without interfering with each other. Before transmitting data, a device using Ethernet listens to the network to detect if it is clear to send data. If the network is busy, it waits for an opportune moment. Once the network is clear, the device sends the data, constantly monitoring for collisions. If a collision occurs (when two or more devices transmit data simultaneously), they stop transmitting, wait for a random period of time, and then retry.
By following this protocol, Ethernet ensures orderly and efficient data transmission within the network, minimizing collisions and maximizing data throughput. It has become the de facto standard for wired local area networks due to its reliability, scalability, and widespread adoption.
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Ans. 18).
A push of 180 N and pull of 350 N act simultaneously at a point. Find the resultant of the
forces. if the angle between them (135)
Explanation:
R = √(A²+B²–2ABCos(x°))
x⁰ = 180–135
x° = 45°
R = √(350²+180²–2(350(180))Cos(45)))
R = 256.524
Many of the problems applied scientists address are multidisciplinary issues and therefore require the collaboration of scientists with a variety of skills and knowledge. Explain which types of scientists might be involved in studying global warming.
Describe the extent of their own responsibility. When to act on their own innitiative to find , clarify and evaluate information , and to whom they should report if they have problems they cannot resolve in the work place
Answer:
whatsthe question choices
A viscous liquid is sheared between two parallel disks; the upper disk rotates and the lower one is fixed. The velocity field between the disks is given by V=e^θrωz/h (The origin of coordinates is located at the center of the lower disk; the upper disk is located at z = h.) What are the dimensions of this velocity field? Does this velocity field satisfy appropriate physical boundary conditions? What are they?
Answer:
For lower disk : V = e^θrω(0)/h = 0
At the upper disk: V = e^θrω(h)/h = e^θrω
Hence The physical boundary conditions are satisfied
Explanation:
Velocity field ( V ) = e^θrωz/h
Upper disk located at z = h
Determine the dimensions of the velocity field
velocity field is two-dimensional ; V = V( r , z )
applying the no-slip condition
condition : The no-slip condition must be satisfied
For lower disk Vo = 0 when disk is at rest z = 0
∴ V = e^θrω(0)/h = 0
At the upper disk V = e^θrω given that a upper disk it rotates at z = h
∴ V = e^θrω(h)/h = e^θrω
Hence we can conclude that the velocity field satisfies the appropriate physical boundary conditions.
When a current carrying coil is placed between the magnetic poles a force acts on it that causes it to rotate what can be done to make the coil rotate faster
Answer:
increase the field strengthincrease the currentdecrease the moment of inertia of the coilExplanation:
The rotation speed depends on the force applied to the coil, and on the mass (moment of inertia) of the coil. The force can be increased by ...
increasing the magnetic field strength
increasing the coil current
And the moment of inertia can be decreased by ...
making the coil lighter
making the coil more compact.
Any of these changes will increase the rotation speed.
A material has been loaded to a stress well below the proportional limit. At this point the stress is 257 MPa and the strain is 0.18 mm/mm. Assume the elastic region extends directly to zero (0 stress, 0 strain) from this point. Calculate Young's modulus for this material. Enter your answer in MPa to the nearest whole number.
To calculate Young's modulus for this material, we first need to understand the relationship between stress and strain in the elastic region. According to Hooke's Law, stress is proportional to strain within the elastic limit.
This means that we can use the following equation to calculate Young's modulus: Young's modulus (E) = stress/strain In this case, the stress is 257 MPa and the strain is 0.18 mm/mm. Therefore: E = 257 MPa / 0.18 mm/mm E = 1428.9 MPa Rounding to the nearest whole number, Young's modulus for this material is approximately 1429 MPa. It's worth noting that this calculation assumes that the elastic region extends directly to zero stress and zero strain from the given point. In reality, the elastic region may have a non-linear relationship between stress and strain, and the material may exhibit some degree of plastic deformation before reaching zero stress. However, this calculation provides a good estimate of Young's modulus for the given conditions.
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Saturated refrigerant-134a vapor at 15 psia is compressed reversibly in an adiabatic compressor to 80 psia. Determine the work input to the compressor. Use the tables for R-134a.
The initial enthalpy and the entropy of the saturated water can be found out from the table of A-12E
i.e. \($h_1= 101 \ \text{Btu/lbm}$\)
\($s_1 = 0.22717 \text{ Btu/lbmR}$\)
Since the process mentioned above is an adiabatic compression process, the entropy will remain constant throughout the process. Therefore, we take the value of entropy and the final pressure using the table with few interpolations and also approximations to find the final enthalpy. It is given by :
\($h_2= 116.09 \text{ Btu/lbm}$\)
So the work input from the energy balance equation :
\($\dot{W} + \dot{m}h_1 = \dot{m}h_2$\)
\($w=h_2 - h_1$\)
= 116.09 - 101
= 15.09
Therefore, \($w= 15.09 \text{ Btu/lbm}$\)
1. A team of students have designed a battery-powered cooler, which promises to keep beverages at a high-drinkability temperature of 36°F while outside is 100°F. If the insulation leaks heat at a rate of 100 Btu/h, calculate the minimum electrical power required, in Watts. If we use USB-charged 5 V batteries, what is the minimum battery size needed, in Amp-hours, if the cooler is supposed to work for 4 hours?
Answer:
Minimum electrical power required = 3.784 Watts
Minimum battery size needed = 3.03 Amp-hr
Explanation:
Temperature of the beverages, \(T_L = 36^0 F = 275.372 K\)
Outside temperature, \(T_H = 100^0F = 310.928 K\)
rate of insulation, \(Q = 100 Btu/h\)
To get the minimum electrical power required, use the relation below:
\(\frac{T_L}{T_H - T_L} = \frac{Q}{W} \\W = \frac{Q(T_H - T_L)}{T_L}\\W = \frac{100(310.928 - 275.372)}{275.372}\\W = 12.91 Btu/h\\1 Btu/h = 0.293071 W\\W = 12.91 * 0.293071\\W_{min} = 3.784 Watt\)
V = 5 V
Power = IV
\(W_{min} = I_{min} V\\3.784 = 5I_{min}\\I_{min} = \frac{3.784}{5} \\I_{min} = 0.7568 A\)
If the cooler is supposed to work for 4 hours, t = 4 hours
\(I_{min} = 0.7568 * 4\\I_{min} = 3.03 Amp-hr\)
Minimum battery size needed = 3.03 Amp-hr