The overall mass transfer rate is given as: 1.5583 mol/m^2/h
What is Mass Transfer Rate?The movement of mass over a unit of time through an interface between two phases, including gas and liquid, liquid and liquid, or solid and liquid is known as the rate of mass transfer.
The value can frequently be stated in units of mass per area per time passage, and changes influenced by various conditions like concentration gradients, temperature, pressure, and the properties of concerned areas.
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An automobile having a mass of 1100 kg initially moves along a level highway at 120 km/h relative to the highway. It then climbs a hill whose crest is 80 m above the level highway and parks at a rest area located there. Use a reference with kinetic and potential energy each equal to zero for the stationary highway before the hill. Let g = 9.81 m/s^2.
For the automobile, determine its change in kinetic energy and its change in potential energy, both in kJ. For the automobile, determine its change in kinetic energy, in kJ.
a. -8594
b. -663.1
c. -6.63x10^5
d. 663.1
Answer:
\(-6111.11\ \text{kJ}\)
\(863.28\ \text{kJ}\)
Explanation:
m = Mass of automobile = 1100 kg
v = Velocity of car = 120 km/h = \(\dfrac{120}{3.6}\ \text{m/s}\)
h = Height of hill = 80 m
g = Acceleration due to gravity = \(9.81\ \text{m/s}^2\)
Change in kinetic energy
\(KE=\dfrac{1}{2}m(u^2-v^2)\\\Rightarrow KE=\dfrac{1}{2}\times 1100\times (0-(\dfrac{120}{3.6})^2)\\\Rightarrow KE=-611111.11\ \text{J}\)
Change in kinetic energy is \(-6111.11\ \text{kJ}\)
Change in potential energy is given by
\(PE=mgh\\\Rightarrow PE=1100\times 9.81\times 80\\\Rightarrow PE=863280\ \text{J}\)
The change in potential energy is \(863.28\ \text{kJ}\).
Objective A: Right turn True or Flase
Answer:
True
Explanation:
Because a object is a smart thing to use doing them problem
Alvaro designs machinery and equipment for ships. His job title is best described as . Jeanette draws maps and plans for freeway projects. Her job title is best described as . Joseph designs a new airport. His job title is best described as . Geraldine designs imaging systems that use light. Her job title is best described as .
Answer:
Alvaro designs machinery and equipment for ships. His job title is best described as Marine Engineer.
Jeanette draws maps and plans for freeway projects. Her job title is best described as Civil Drafter.
Joseph designs a new airport. His job title is best described as Transportation Engineer.
Geraldine designs imaging systems that use light. Her job title is best described as Photonics Engineer.
Hope this helps sorry I am late to respond, but anyone else who needs the answer it is here.
Based on the above, Alvaro is a Marine Engineer;
Jeanette is a Civil Drafter.Joseph is a Transportation Engineer.Geraldine is a Photonics Engineer.What is machinery and equipment?Machinery and Equipment are known to be a type of industrial tools, devices, and items that aids facilities.
Conclusively, They are said to be tangible personal property that are used as a tool for repair parts, etc. Professions in ship jobs includes, Marine Engineer, Photonics Engineer, etc.
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If a blender uses 110 volts and 20 amperes how many watts is it using?
Answer:
2200 watts
Explanation:
# of Watts = Volts × Amps
# of Watts = 110 × 20# of Watts = 2200 wattsHave a lovely rest of your day/night, and good luck with your assignments! ♡
A 10 Kw heating element, operating on rated 240 V, will have a Btu/h output of _____.
With a rated 240 V, a 10 kW heating element would unsurprisingly yield approximately 34,121.42 BTU/h.
How to solveTo determine the power of a 10 kW heating element functioning at a constant 240 V in BTU/h (British Thermal Units per hour), we must initially convert from kilowatts to watts and then use an appropriate conversion factor.
1 kW = 1,000 W
So, 10 kW equates to 10,000 W
To arrive at BTU/h, we can apply the following conversion factor:
1 W = 3.412142 BTU/h
Thus, by multiplying the wattage amount with the conversion rate, we come up with the total BTU/h output:
BTU/h = 10,000 W * 3.412142 BTU/h/W = 34,121.42 BTU/h
To conclude, with a rated 240 V, a 10 kW heating element would unsurprisingly yield approximately 34,121.42 BTU/h.
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Vacancy diffusion statement refer to that a mechanism that
atom at lattice traveled to a vacant latblèe
• True
• False
Answer:
true
Explanation:
A liquid of specific heat 3000J/kgk rise from 15°c to 65°c in 1 min when an electric heater is used. If the heater generate 63000J, calculate the mass of the water
Answer:
0.42 kg
Explanation:
Heat is proportional to mass by way of the conversion factor that is the inverse of the specific heat.
\(\dfrac{63000\text{ J}}{\dfrac{3000\text{ J}}{\text{kg$\cdot$K}}\cdot(65-15)\text{ K}}=0.42\text{ kg}\)
The mass of the liquid is about 0.42 kg.
using the what-if function in excel to make a decision is considered a type of __________.
A forecast as well as scenario model is a form of decision-making tool that uses the what-if Excel function.
What purposes does Excel serve?Users of Microsoft Excel may format, arrange, and compute data together in spreadsheet. Data analysts or other customers can make data simpler to examine when data is added as well as altered by arranging the data using tools like Excel. The boxes in Excel are referred to as cells, and they are arranged in columns or rows.
What is a formula in Excel?In Microsoft Excel, an formula seems to be an expression that changes the values of a group of cells. These equations nevertheless provide a result, even if it's erroneous. Using Excel formulas, you may do operations like addition, subtraction, multiplication, as well as division.
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This agency develops standards for pressure vessels and pressure relief valves, as well as the design, welding, and materials that may be used in pipeline construction.
Select one:
a. American Petroleum Institute
b. American Society of Mechanical Engineers
c. American Gas Association
d. National Fire Protection Association
Answer:
b. American Society of Mechanical Engineers
Explanation:
The "American Society of Mechanical Engineers" (ASME) is an organization that ensures the development of engineering fields. It is an accreditation organization that ensures parties will comply to the ASME Boiler and Pressure Vessel Code or BPVC.
The BPVC is a standard being followed by ASME in order to regulate the different pressure vessels and valves. Such standard prevents boiler explosion incidents.
True or false
Consumer is the end user
Client is usually a company
Consumer is usually a company
Client is the end user
Consumer is the end user
Client is usually a company
Consumer is usually a company
Client is the end user
Answer:
Explanation:
a) True
b) False
c) False
d) False
e) True
f) False
g) False
h)False
Plz mark as brainliest
What is the main purpose of the alternater
Answer:
to keep the battery charged when the vehicle is running, it also helps the battery keep the electrical components in your vehicle charged
Explanation:
compare and contrast the structure, mechanical properties, and functions of the five major types of blood vessels
The five major types of blood vessels in the human body are arteries, arterioles, capillaries, venules, and veins. Although they are all part of the circulatory system and work together to transport blood, they differ in their structure, mechanical properties, and functions.
Structure:
Arteries are thick-walled, muscular vessels that carry oxygenated blood away from the heart. They have a circular shape and contain elastin and collagen fibers in their walls. Arterioles are smaller vessels that connect arteries to capillaries. They have a similar structure to arteries but have thinner walls and less elastin. Capillaries are the smallest and thinnest vessels in the body, with a diameter similar to that of a single red blood cell. They have a single layer of endothelial cells and allow for the exchange of gases, nutrients, and waste products between the blood and tissues. Venules are small vessels that connect capillaries to veins. They have a similar structure to arterioles but have thinner walls and less smooth muscle. Veins are vessels that carry deoxygenated blood back to the heart. They have thinner walls than arteries and contain valves to prevent the backflow of blood.Mechanical properties:
Arteries have high elasticity and are able to withstand high blood pressure. They can expand and contract to adjust to changes in blood flow. Arterioles and capillaries have low resistance to blood flow, allowing for efficient exchange of substances between the blood and tissues. Venules have low pressure and low resistance, allowing for the easy flow of blood from capillaries to veins. Veins have low elasticity and low pressure, but have a large diameter and high capacitance, allowing them to hold a large amount of blood.Functions:
Arteries and arterioles deliver oxygen and nutrients to the tissues and organs of the body. Capillaries allow for the exchange of gases, nutrients, and waste products between the blood and tissues. Venules and veins collect deoxygenated blood from the capillaries and return it to the heart. Veins also act as a blood reservoir, storing up to 60% of the body's blood volume and releasing it when needed, such as during exercise.In summary, each of the five major types of blood vessels has a unique structure, mechanical properties, and functions that allow them to work together to ensure the efficient and effective transport of blood throughout the body.
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GIVEN: b = 2.20ft
d = 2.70ft, h = 1.35 , Water specific weight 62.4
F=500 lb
Ax=334lb
Bx=167lb
f,
F = 500 lbThe water's specific weight is ?w = 62.4lb/ft3
Granite has a weight density of 174.72 lbs/ft3 based on its specific gravity. Since specific gravity is the ratio of two comparable quantities, it has no dimensions.
A material's specific gravity is determined by comparing its density to that of a standard substance, often water. Another name for specific gravity is the substance's relative density. Since specific gravity is the ratio of two comparable quantities, it has no dimensions. Porosity, commonly referred to as void fraction, is an indicator of how many spaces in a material are void, or "empty." It reflects the volume of voids relative to the entire volume and ranges from 0 to 1, or between 0% and 100%, as a percentage. In some experiments, the entire volume of void space that can be reached from the surface, or the "accessible void," is measured (cf. closed-cell foam).
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Assume a person is making a 350 mile trip from Amherst to Washington DC has four modes available to them: air; auto; train; ship. Describe the results for 3 different travelers that value their time at $10, $30, and $100, respectively if the following associated costs and parameters are also involved (hint: convert variables to $):
Air $2.00 per mile at 3 hours
Auto $0.50 per mile at 8 hours
Train $0.25 per mile at 10 hours
Ship S0.25 per mile at 15 hours
1. Which mode wins out for each of the 3 travelers?
2. Which mode would you select, and why?
Answer:
in the previous sections you have seen that any real number have been the symbol of expenses have asked to represent it on the number line literacy house suppose you want to locate on the number line we know that this line is between two entry so let us look closely at the portions of the number line between between 2 to 25 by 50 bye-bye 2.00 with this into 5
An electrical contractor employs 16 people. Five people earn $15 per hour, four people earn $17 per hour, and the remaining people earn $16 per hour. What is the total hourly wage earned by all 16 people
$255 per hour
Explanation:Total number of employed people = 16
(i) 5 people earn $15 per hour
That means that the total amount earned by those 5 is;
5 x $15 = $75 per hour
(ii) 4 people earn $17 per hour
That means that the total amount earned by those 4 is;
4 x $17 = $68 per hour
(iii) The remaining people earn $16 per hour.
There are 7 people remaining. i.e
16 - 5 - 4 = 7
That means that the total amount earned by those remaining (7) is;
7 x $16 = $112 per hour
The total hourly wage is therefore the sum of all the results in i, ii and iii. i.e
Total = $75 + $68 + $112
Total = $255
Therefore, the total hourly wage earned by all 16 people is $255
true or false. When constructing a clinic, the building should be as aesthetically pleasing and comfortable as possible toattract staff and clients
Answer: True.
Explanation:
You would not want to have an uneasy feeling clinic to host clients and staff. Put yourself in their shoes, would you want to visit an aesthetically pleasing clinic, or a barren looking one?
True, When constructing a clinic, the building should be as aesthetically pleasing and comfortable as possible to attract staff and clients.
What are the ways to Attract More Patients to Your Medical Practice?
1. Utilize online marketing: Use online marketing strategies such as SEO, content marketing, and social media marketing to increase the visibility of your medical practice.
2. Leverage referrals: Ask current patients to refer your practice to friends, family, and colleagues.
3. Develop a strong presence in the community: Participate in local health fairs, join community organizations, and attend events to increase your visibility.
4. Offer free medical services: Offer free medical services to underserved populations in the area to attract more patients.
5. Use patient feedback: Ask patients to complete surveys and provide feedback on their experience at your practice. Use this information to improve the patient experience and attract more patients.
Aesthetically pleasing and comfortable facilities can help attract staff and clients to a clinic. A pleasing design and comfortable environment can create an inviting atmosphere that encourages people to come in and use the clinic's services. Additionally, a pleasing and comfortable design can make it easier for staff to work in the clinic and provide quality care to clients.
Therefore, True is the correct answer.
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Consider a hypothetical material that has a grain diameter of 6.3 × 10−2 mm. After a heat treatment at 500 °C for 4 h, the grain diameter has increased to 1.10 × 10−1 mm. Compute the grain diameter when a specimen of this same original material (i.e., d0 = 6.3 × 10−2 mm) is heated for 5.5 h at 500°C. Assume the n grain diameter exponent has a value of 2.0
The time to achieve a grain diameter of 5.5 × 10⁻² mm is 477 minutes
What is the diameter?A straight line passes through the middle of a rounded object or shape and emerges at the opposing edge.
We have to calculate the K
Given that the grain diameter exponent (n) = 2.2
Grain diameter (d) = 5.6 × 10⁻² mm = 5.6 × 10⁻⁵ m
d₀ = 2.4 × 10⁻² mm = 5.6 × 10⁻⁵ m
t = 500 min
\(K = \dfrac{d^n - d^n\circ}{t} \\\\K = \dfrac{(5.6 \times 10^-^5)^{2.2} - (2.4 \times 10^-^5)^2}{500} \\\\K = 7.48\times 10^{-13} m/min\)
From K we can determine the time required based on the desired diameter grain diameter (d) = 5.5 × 10⁻² mm = 5.5 × 10⁻⁵ m
\(K = \dfrac{(5.6 \times 10^-^5)^{2.2} - (2.4 \times 10^-^5)^2}{7.8 \times 10^{-13}} \\\\K = 477 min.\)
Therefore, the time is 477 minutes.
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The observed system is one company for road freight transport. The company has a certain number of trucks (brand, load capacity, year, number of repairs are monitored). The company has employees whose name, surname, and seniority are monitored. Part of the employees are drivers, for
whom the category is additionally monitored, and part of them are mechanics, for whom the brand of vehicle they specialize in is additionally
monitored. When a truck breaks down, a record is kept of which mechanic repairs it and the estimated time for repair (in days). The company operates by receiving shipments of certain weights and values from companies (tracked by name, address and two phone numbers) that need to be transported from the place of origin to the destination, for which the name is also tracked. In addition, the database should store each truck trip in terms of
route (from-to), participation of drivers (up to two) and shipments being transferred (one or more of them).
1.) Database design :
Based on the given above requirements design a database with all relations and their attributes and domains. In addition to create a set of SQLs
DDL (Data Definition Language) commands for gotten design?
2.) SQL DML :
For database from 1 create set SQL DML (Data Manipulation Language) commands inserting at least five records in each table?
3.) Composing/Optimization SQL :
For database from 1 compose the following SQL DML queries:
• Showing companies that have shipments that were neither sent nor planned, with information on the total weight of those shipments. Result
sorted by Name ascending.
• Listing the companies that had the highest value shipment. Result sorted by Name ascending.
• Printing all mechanics who are not fixing any trucks now.
With this database schema in place, the road freight transport company can efficiently manage and track its trucks, employees, repairs, shipments, and trips. The database can be queried and updated as needed to support various operations and reporting requirements of the company.
To effectively manage the observed system of a road freight transport company, a database can be designed to capture and store the relevant information. The database should be designed to track trucks, employees, mechanics, shipments, and trips. Here is a proposed database schema for the observed system:
Trucks:
Truck ID (primary key)
Brand
Load Capacity
Year
Number of Repairs
Employees:
Employee ID (primary key)
Name
Surname
Seniority
Drivers:
Employee ID (foreign key referencing Employees table)
Category
Mechanics:
Employee ID (foreign key referencing Employees table)
Specialization (Brand)
Repairs:
Repair ID (primary key)
Truck ID (foreign key referencing Trucks table)
Mechanic ID (foreign key referencing Mechanics table)
Estimated Repair Time (in days)
Companies:
Company ID (primary key)
Name
Address
Phone Number 1
Phone Number 2
Shipments:
Shipment ID (primary key)
Company ID (foreign key referencing Companies table)
Weight
Value
Trips:
Trip ID (primary key)
Truck ID (foreign key referencing Trucks table)
Origin
Destination
Driver 1 ID (foreign key referencing Drivers table)
Driver 2 ID (foreign key referencing Drivers table)
Shipment IDs (foreign key referencing Shipments table)
This database schema allows for efficient tracking and management of the road freight transport company's operations. Here are some key points regarding the schema:
The Trucks table stores information about the company's trucks, including their brand, load capacity, year, and number of repairs.
The Employees table captures details about the company's employees, such as their names, surnames, and seniority.
The Drivers table is a subset of Employees and specifically tracks the category of employees who are drivers.
The Mechanics table is another subset of Employees and focuses on employees with specialization in repairing specific truck brands.
The Repairs table associates the repairs made on trucks with the respective mechanic and includes the estimated repair time.
The Companies table stores information about the companies that send shipments, including their names, addresses, and contact details.
The Shipments table tracks the shipments, including their weights and values, and links them to the respective company.
The Trips table represents each trip made by a truck, capturing the route (from-to), the participating drivers, and the shipments being transported.
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1) I love to swim. 2) A few years ago, my new year's resolution was to become a faster swimmer. 3) First, I started eating better to improve my overall health. 4) Then, I created a training program and started swimming five days a week. 5) I went to the pool at my local gym. 6) To measure my improvement, I tried to count my laps as I was swimming, but I always got distracted and lost track! 7) It made it very hard for me to know if I was getting faster. 8) This is a common experience for swimmers everywhere. 9) We need a wearable device to count laps, calories burned, and other real-time data. Summarey of the story
To measure strain during testing in a jet engine, a special platinum strain gauge is produced by sputtering the material into a foil and etching the gauge pattern. The sensor has a nominal resistance of 350 at 20°C and a gauge factor of 8.9. The platinum grade used has a temperature coefficient of resistance of 0.00385 /°C. The sensor is exposed to temperature variations between -50°C and 800°C during testing. a. Calculate the maximum resistance expected for a maximum strain of 2%. b. Calculate the change in resistance due to temperature and maximum error due to temperature changes. c. Show how the temperature effects can be compensated using a bridge. d. Show that if the bridge is correctly set up, the output is not affected by temperature. e. Find the output of the bridge with a reference voltage of 10 V for the range (
The maximum resistance expected for a maximum strain of 2% in the platinum strain gauge is approximately 364.1 ohms. The change in resistance due to temperature is 2.536 ohms, and the maximum error due to temperature changes is 0.646 ohms. The temperature effects can be compensated using a bridge configuration, ensuring that the output is not affected by temperature variations. With a reference voltage of 10 V, the output of the bridge for the given temperature range can be calculated.
To calculate the maximum resistance expected for a maximum strain of 2%, we can use the gauge factor and the nominal resistance. The gauge factor represents the sensitivity of the strain gauge to strain. It is defined as the ratio of the fractional change in resistance to the applied strain. In this case, the gauge factor is given as 8.9. We can use the formula:
Maximum resistance = Nominal resistance + (Gauge factor * Nominal resistance * Maximum strain)
Substituting the given values, we get:
Maximum resistance = 350 + (8.9 * 350 * 0.02) = 364.1 ohms
To calculate the change in resistance due to temperature, we need to consider the temperature coefficient of resistance. The temperature coefficient of resistance indicates how the resistance of a material changes with temperature. In this case, the temperature coefficient of resistance for platinum is given as 0.00385 /°C. We can use the formula:
Change in resistance due to temperature = Nominal resistance * Temperature coefficient * (Maximum temperature - Minimum temperature)
Substituting the given values, we get:
Change in resistance due to temperature = 350 * 0.00385 * (800 - (-50)) = 2.536 ohms
The maximum error due to temperature changes can be calculated by taking half of the change in resistance due to temperature. Therefore, the maximum error is 0.5 * 2.536 = 1.268 ohms.
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discuss why power plant and distribution system engineers are concerned with the real power absorbed by a load with the real power
Real power absorbed by a load is important for engineers as it helps them to ensure that the load is supplied with the correct power and that the power system is operating efficiently.
What is Power?Power is the ability to act or make decisions in a way that has an influence on others and their environment. It is the ability to control and command, to motivate others, and to shape the future. It is a form of strength and authority, and can be seen in many different forms from physical strength to money, status, and knowledge. Power can be used to create positive change and empower others, or it can be used to oppress and control.
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ypical and immediate consequences of nonconformance of final work/workflow are loss of money, time overrun, and... Waste Safety Issues Reputation damage
Typical and immediate consequences of nonconformance of final work/workflow are loss of money, time overrun, waste, safety issues, and reputation damage.
Nonconformance in final work or workflow can lead to financial losses as resources are wasted on rework or corrective actions. Time overruns occur when the project or task takes longer than planned due to nonconformance issues, leading to delays and potential schedule disruptions. Waste is another consequence, as materials, resources, and efforts may be wasted due to errors or inefficiencies in the final work. Safety issues can arise from nonconformance, posing risks to workers or end-users if the work does not meet necessary safety standards or regulations. Additionally, nonconformance can cause reputation damage, affecting the credibility and trustworthiness of individuals or organizations involved in the work, which can have long-lasting impacts on future opportunities and relationships.
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Does anyone know this
draw the fbd that is required to determine the internal forces at point j. (you must provide an answer before moving on to the next part.) the fbd that is required to determine the internal forces at point j is
The FBD (Free Body Diagram) that is required to determine the internal forces at point J should include all external forces acting on the system and any reactions or forces present at point J.
This FBD will allow for the determination of the internal forces, such as shear forces and bending moments, at point J.
To determine the internal forces at point J, you need to draw a Free Body Diagram (FBD). In this FBD, you should include all the external forces acting on the object at point J, such as gravitational force, tension, friction, and any applied forces. Once you have drawn the FBD, you can use equilibrium equations (sum of forces in horizontal and vertical directions equals zero) to solve for the unknown internal forces. After finding the internal forces at point J, you can move on to the next part of your problem. Forces are physical quantities that describe the interactions between objects or systems. They can cause a change in motion or deformation in an object. Some common types of forces include gravitational force, electromagnetic force, frictional force, and normal force. Forces can be described by their magnitude, direction, and point of application. Newton's laws of motion provide a framework for understanding the behavior of objects under the influence of forces. Understanding forces is essential in many fields, including physics, engineering, and biomechanics, as it allows for the prediction and control of the behavior of systems under different conditions.
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X is an Erlang (n,λ) random variable with parameter λ=1/3 and expected value E[X]=15. (a) What is the value of the parameter n? (b) What is the PDF of X? (c) What is Var[X]?
For an Erlang random variable with E[X] = 15 and λ = 1/3, n = 5, PDF is given by f(x) = x^4 * e^(-x/3) / (243 * 24), and variance Var[X] = 45.
(a) To find the value of the parameter n, we can use the formula for the expected value of an Erlang random variable: E [X] = n/λ.
E [X] = 15 and λ = 1/3, we can solve for n:
15 = n / (1/3)
15 * (1/3) = n
5 = n
So the value of the parameter n is 5.
(b) The Probability Density Function (PDF) of an Erlang random variable X is given by:
f(x) = (λ^n * x^(n-1) * e^(-λx)) / (n-1)!
For our given parameters, n = 5 and λ = 1/3:
f(x) = ((1/3)^5 * x^(5-1) * e^(-(1/3)x)) / (5-1)!
Plugging in the values, we get:
f(x) = (1/243) * x^4 * e^(-x/3) / 24
Simplifying further:
f(x) = x^4 * e^(-x/3) / (243 * 24)
(c) The variance Var[X] of an Erlang random variable is given by the formula Var[X] = n / λ^2.
Using the values we found earlier, n = 5 and λ = 1/3:
Var[X] = 5 / (1/3)^2
Var[X] = 5 / (1/9)
Var[X] = 5 * 9
So the variance of X is 45.
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what type of rfid tag operates at 2.45 ghz?
The type of RFID tag that operates at 2.45 GHz is known as the ultra-high frequency (UHF) RFID tag.
UHF RFID tags use radio frequency waves in the range of 865 to 928 MHz (for Europe and North America), as well as 2.4 to 2.5 GHz. The 2.45 GHz frequency band is within the range used by UHF RFID tags and is particularly useful for applications that require high-speed data transfer and longer read ranges.
UHF RFID tags can be active or passive. Active UHF RFID tags have their own power source and can transmit signals over longer distances, while passive UHF RFID tags rely on the energy transmitted from the RFID reader to power their operations. Both types of UHF RFID tags are commonly used in a variety of applications, including inventory management, supply chain management, and asset tracking.
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Find the exact value of cosine (startfraction 5 pi over 6 endfraction) cosine (startfraction pi over 12 endfraction) + sine (startfraction 5 pi over 6 endfraction) sine (startfraction pi over 12 endfraction) startfraction startroot 2 endroot over 2 endfraction negative startfraction startroot 2 endroot over 2 endfraction negative startfraction startroot 3 endroot over 2 endfraction startfraction startroot 3 endroot over 2 endfraction.
Exact value of given equation cos(5π/6)*cos(π/12)+sin(5π/6)*sin(π/12) is -√2/2
cos(5π/6)*cos(π/12)+sin(5π/6)*sin(π/12)
0.8660*0.9659+0.2588*0.5=-√2/2
The trigonometric functions of an angle in mathematics are sine and cosine. An acute angle's sine and cosine are defined in terms of a right triangle: for the given angle, the sine is the. We'll refer to the ratio of a right triangle's opposing side to hypotenuse as the sine and assign it the symbol sin. The cosine, denoted by the symbol cos, is the proportion of a right triangle's neighboring side to its hypotenuse. The word "sine" in trigonometry is derived from a Sanskrit word that means "chord" through the use of Latin. The AB chord, which is half a chord of the unit circle in the illustration below, has length sin. Complementary angles serve as the basis for the co-functions.
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Answer:
A on edge
Explanation:
m = StartFraction StartRoot 3 EndRoot Over 2 EndFraction, Theta = StartFraction Pi Over 6 EndFraction
in cold climates, water pipes may freeze and burst if proper precautions are not taken. In such an occurrence, the exposed part of a pipe on the ground ruptures, and water shoots up to a height z2, of 52 m. Estimate the gage pressure of water in the pipe. The gage pressure of water in the pipe is determined to be kPa..
Answer:
Gauge Pressure = 408.3 KPa
Explanation:
The pressure inside the pipe can be given in terms of the elevation, by the following formula:
P = ρgΔz
where,
P = Absolute Pressure = ?
ρ = Density of Water = 1000 kg/m³
g = acceleration due to gravity = 9.8 m/s²
Δz = elevation = 52 m
Therefore,
P = (1000 kg/m³)(9.8 m/s²)(52 m)
P = 509.6 KPa
Now, for gauge pressure:
Gauge Pressure = P - Atmospheric Pressure
Gauge Pressure = 509.6 KPa - 101.3 KPa
Gauge Pressure = 408.3 KPa
The maximum voltage in a cooling system should not exceed ______ volts.
Answer:2%
When the voltages between the three phases are not equal, the current increases dramatically in the motor winding's, and if allowed to continue, the motor will be damaged.
Explanation:
A rectangular channel 3-m-wide carries 12 m^3/s at a depth of 90cm. Is the flow subcritical or supercritical? For the same flowrate, what depth will five critical flow?
Answer:
Super critical
1.2 m
Explanation:
Q = Flow rate = \(12\ \text{m}^3/\text{s}\)
w = Width = 3 m
d = Depth = 90 cm = 0.9 m
A = Area = wd
v = Velocity
g = Acceleration due to gravity = \(9.81\ \text{m/s}^2\)
\(Q=Av\\\Rightarrow v=\dfrac{Q}{wd}\\\Rightarrow v=\dfrac{12}{3\times 0.9}\\\Rightarrow v=4.44\ \text{m/s}\)
Froude number is given by
\(Fr=\dfrac{v}{\sqrt{gd}}\\\Rightarrow Fr=\dfrac{4.44}{\sqrt{9.81\times 0.9}}\\\Rightarrow F_r=1.5\)
Since \(F_r>1\) the flow is super critical.
Flow is critical when \(Fr=1\)
Depth is given by
\(d=(\dfrac{Q^2}{gw^2})^{\dfrac{1}{3}}\\\Rightarrow d=(\dfrac{12^2}{9.81\times 3^2})^{\dfrac{1}{3}}\\\Rightarrow d=1.2\ \text{m}\)
The depth of the channel will be 1.2 m for critical flow.