Problem 2. 2 .The particle P moves along the curved slot, a portion of which is shown. Its distance in meters measured along the slot is given by s = t^2/ where t is in seconds. The particle is at A when t = 2.00s and at B when t = 2.20s. Determine the magnitude a_avg of the average acceleration of P between A and B. Also express the acceleration as a vector a_avg using unit vectors i and j.
Magnitude of average acceleration [tex]a_{avg}[/tex]=2.75 units
Average acceleration [tex]a_{avg}=[/tex] [tex]2.265 i- 1.58j[/tex]
We're given that [tex]s=\frac{t^2}{4}[/tex]
And partice is at A at t=2 s and at B at t= 2.2s
Instantaneous velocity [tex]\frac{ds}{dt} =\frac{t}{2}[/tex]
Velocity at A ([tex]V_{a}[/tex]) at 2s = [tex]\frac{t}{2}[/tex] or [tex]\frac{t}{2}Cos \frac{\pi}{3} i+ \frac{t}{2}Sin \frac{\pi}{3}j=\frac{i+\sqrt{3} j}{2}[/tex]
Velocity at B ([tex]V_{b}[/tex]) at 2.2s =[tex]\frac{t}{2}[/tex] or [tex]\frac{t}{2}Cos \frac{\pi}{6} i+ \frac{t}{2}Sin \frac{\pi}{6}j=\frac{\sqrt{3}i+j }{2}[/tex]
Average acceleration = [tex]\frac{V_{b}-V{a}}{t}[/tex] =[tex]2.265 i- 1.58j[/tex]
magnitude = [tex]\sqrt{(2.265)^2- (1.58)^2}[/tex] = [tex]2.75[/tex]
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A composite wall is composed of two layers, each with constant properties. the thermal conductivity of layer 1 is twice that of layer 2. for steady-state conduction with no thermal generation, the correct temperature distribution is:
Given the indices stated above, the correct temperature distribution is: k1 = 2k2. See the definition of temperature distribution below.
What is temperature distribution?The Solution to the linear heat flow equation is what is known as thermal distribution.
It measures heat transfer with respect to normal or natural phenomena such as:
Irradiationconduction; andconvection.Learn more about temperature distribution at:
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When what is visible to end-users is a deviation from the specific or expected behavior, this is called:
When what is visible to end-users is a deviation from the specific or expected behavior, it's an error.
What is an error?It should be noted that an error means a deviation from what's expected by an individual or programmer.
In this case, when what is visible to end-users is a deviation from the specific or expected behavior, it's an error. This is a deviation.
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What part connect to the tie rod that helps the brake chamber out that deals with slack adjuster
Answer:
none
Explanation:
The A/C system refrigerant charge amount needs to be determined on a late-model vehicle. Technician A says that the emissions label contains the refrigerant charge amount. Technician B says the RPO decal contains the refrigerant charge amount. Who is correct
Technician A is correct when he says that the emissions label contains the refrigerant charge amount while Technician B is wrong.
What is emission label?An emissions label is known to be a kind of sticker that is often used by EPA to have manufacturers show that their non-road engines meet the needed emission requirements.
In terms of AC system, they are found under the hood of the AC unit and as such, Technician A is correct when he says that the emissions label contains the refrigerant charge amount while Technician B is wrong.
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Air is compressed from 20 psia and 70°F to 150 psia in a compressor. The compressor is operated such that the air temperature remains constant. Calculate the change in the specific volume of air as it passes through this compressor.
Answer: -8.51 ft^3/lbm
Explanation:
In this question, to find the change in volume, we will use the ideal gas law.
[tex]\begin{aligned}&n_{1}=1 \text { mole }\\&\mathrm{P}_{1}=20 \mathrm{psia}\\&\mathrm{T}_{1}=70^{\circ} \mathrm{F}\\&T_{1}=(70+460)^{0} \mathrm{R}\\&v_{1}=\frac{\left(0.3704 \frac{psia \cdot_{\text { } ft^{3}}}{l \mathrm{lbm} \cdot R}\right)(70+460)^{0} \mathrm{R}}{20 \mathrm{psi}}\\&v_{1}=9.816 \frac{\mathrm{ft}^{3}}{\mathrm{lbm}}\end{aligned}[/tex]
[tex]\begin{aligned}&\mathrm{n}_{2}=1 \text { mole } \\&\mathrm{P}_{2}=150 \mathrm{psia} \\&\mathrm{T}_{1}=\mathrm{T}_{2}=70^{0} \mathrm{~F} \\&\mathrm{~T}_{1}=\mathrm{T}_{2}=(70+460)^{0} \mathrm{R} \\&v_{2}=\frac{\left(0.3704 \frac{\text { psia} \cdot \mathrm{ft}^{3}}{\mathrm{lbm} \cdot R}\right)(70+460)^{0} \mathrm{R}}{150 \mathrm{psi}} \\&v_{2}=1.309 \frac{\mathrm{ft}{ }^{3}}{\mathrm{lbm}}\end{aligned}[/tex]
[tex]$$The change in volume is,$$\begin{aligned}&\Delta v=v_{2}-v_{1} \\&\Delta v=1.309-9.816 \\&\Delta v=-8.51 \frac{\mathrm{ft}^{3}}{\mathrm{lbm}}\end{aligned}\text{The negative sign shows that the gas was compressed during this process}[/tex]
Role of energy consumption in formulating energy policies.
The Role of energy consumption in formulating energy policies are:
It is the regulatory framework on which global attractiveness is built.It helps widen access to electricity.It helps improve clean cooking fuels.It helps in elimination of deadly air pollution.What is the importance of energy policy?Energy policy is known to be a vital factor in economic development as it is known to be the total regulatory framework that helps to know the boast in global attractiveness and others.
Note that he Role of energy consumption in formulating energy policies are:
It is the regulatory framework on which global attractiveness is built.It helps widen access to electricity.It helps improve clean cooking fuels.It helps in elimination of deadly air pollution.Learn more about Energy policy from
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If the content of T4: 0.ACC is copied into N7: 0 through N7:4 memory locations, this process is considered a ____. A. word-to-word transfer B. file-to-file transfer C. word-to-file transfer D. file-to-word transfer
If the content of T4: 0.ACC is copied into N7: 0 through N7:4 memory locations, this process is considered a "word-to-word transfer" (Option A)
What is T4:0?
In programming, T4:0 is a time base. Whenever it is set to 1.0, it converts to the timer that counts in seconds.
It is key to note that when enumerated as T4:0 ACC, it is ascribed as an Accumulator address.
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valocity and acceleration of spherical coordinates and polar coordinates with complete description and derivations?
A point P at a time-varying position (r,θ,ϕ) ( r , θ , ϕ ) has position vector ⃗r , velocity ⃗v=˙⃗r v → = r → ˙ , and acceleration ⃗a=¨⃗r a → = r → ¨ given by the following expressions in spherical components.
Technician A says that mechanical shifting controls can wear out over time. Technician B says that vacuum control rubber diaphragms can deteriorate over time. Who is correct
Based on the information, both technician A and technician B are correct.
How to depict the information?From the information given, Technician A says that mechanical shifting controls can wear out over time.
Technician B says that vacuum control rubber diaphragms can deteriorate over time.
In this case, both technicians are correct as the information depicted is true.
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a set of several wires wrapped in tape or enclosed in a plastic sheath is referred to as
Answer:
A. Wire Harness
Tech A says that the angle of the rear axle assembly companion flange should be perpendicular to the transmission output shaft. Tech B says that U-joints should be 45 degrees out of phase from one another to minimize vibration. Who is correct
The technician that's correct is technician A.
Who is a technician?It should be noted that a technician is an individual who looks after the technical equipment in a company.
In this case, Tech A says that the angle of the rear axle assembly companion flange should be perpendicular to the transmission output shaft. This is correct.
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Please show NEC article 310.10(H)
Conductors in Parallel is covered in 310.10(H). Often when working with higher ampacities, we find it to be cumbersome and expensive to keep increasing the size of the wire and conduit. The solution is often to use multiple runs that are connected to a common location on each end. Notice in the 2011 edition of the code that much of this section is highlighted gray, indicating new or revised text. The change here was that the previous code stated that you were permitted to parallel conductors 1/0 AWG and larger; however, it didn’t specifically prohibit you from paralleling smaller conductors, which was the intent and the way it was enforced in all my years of enforcement. However, that’s not what the actual language said, and ambiguous language cancause enforcement issues; therefore, in the 2011 code it was made clear that you are only allowed to parallel conductors 1/0 AWG and larger.
A fully charged new battery will have a low conductance reading.
No it will have high conductance
A cantilever beam AB of length L has fixed support at A and spring support at B.
The spring behaves in a linearly elastic manner with stiffness k. If a concentrated
load P is applied at B, use any type of method to find:
(i) the force in the spring
Fb
,
(ii) the downward displacement
B
of end B. (15%)
The force in the spring will be [tex]F =\dfrac{KPl^3}{3EI}[/tex].
The deflection of the beam will be [tex]\rho[/tex] = [tex]0.15(\dfrac{KPL^3}{3EI})[/tex]
What is a cantilever beam?A rigid, horizontally extending structural member known as a cantilever is supported at only one end. Typically, it extends from a solidly affixed flat vertical surface, such as a wall.
Given that:-
A cantilever beam AB of length L has fixed support at A and spring support at B.The spring behaves in a linearly elastic manner with stiffness k. If a concentrated load P is applied at B.The spring force will be calculated as:-
[tex]F = kx[/tex]
Deflection will be given by:-
[tex]x = \dfrac{PL^3}{3EI}[/tex]
The spring force will be calculated by:-
[tex]F = \dfrac{KPL^3}{3EI}[/tex]
The deflection of the beam will be given as:-
[tex]\rho = \dfrac{0.15KPL^3}{3EI}[/tex]
Therefore the force in the spring will be [tex]F =\dfrac{KPl^3}{3EI}[/tex]..The deflection of the beam will be [tex]\rho[/tex] = [tex]0.15(\dfrac{KPL^3}{3EI})[/tex]
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Where a solid wood door is installed as a permitted opening between a garage and a residence, the minimum thickness of the door shallbe __________ inches.
For a garage and a residence, the minimum thickness of a solid wood door that is installed as a permitted opening shall be 1 3/8 inches.
What is a door?A door can be defined as a solid material made of wood or metal, which is designed and developed to facilitate entrance and exit out of a building.
According to the International Residential Code (IRC), the minimum thickness of a solid wood door that is installed as a permitted opening for a garage and a residence shall be 1 3/8 inches.
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Draw a circuit diagram connected in a reverse bias showing a p-n material and a battery
The Circuit Diagram is connected in a reverse bias attached below.
What is Reverse Bias?Reverse biased p-n junction diode refers to the method by which a p-n junction diode stops electric current in the presence of applied voltage.
The positive terminal of the battery is connected to the n-type semiconductor material in a reverse biased p-n junction diode, while the negative terminal is connected to the p-type semiconductor material.
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what is automechanic
Answer:
An auto mechanic is a mechanic who services automobiles, sometimes specializing in one or more automobile brands or sometimes working with any brand. In repairing cars, their main role is to diagnose the problem accurately and quickly.
T/f: single-strand (or solid) aluminum branch circuit wiring observed by a home inspector should always be fully evaluated by a licensed electrical contractor.
The statement "Single-strand (or solid) aluminum branch circuit wiring observed by a home inspector should always be fully evaluated by a licensed electrical contractor" is definitely true.
What is an Electrical Circuit?An electrical circuit may be defined as a complete path through which an electric current continuously flows when the switch is in on state. It is an enclosed system of current flowing.
The quality of each and every wire does not matter if it is made up of aluminum or copper should be monitored by a high level of engineers and then a license has to be issued to that wiring company on the behalf of an electrical contractor.
Therefore, it is well described above.
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Suppose that out of 500 lottery tickets sold, 200pay off at least the cost of the ticket. Now supposethat you buy 5 tickets. Find the probability that youwill win back at least the cost of 3 tickets.
The probability that one will win back at least the cost of three tickets is approximately 0.31744. This is solved using Binomial Distribution Model.
What is the Binomial Distribution Model?
The Binomial Distribution Model is a mathematical model of probability that allows one to decipher the probability of success of a group of possibilities within a range of specifically repeated processes.
What is the calculation for the above?Given that non-losing tickets (n) is: 5
Tickets gotten with non-losing probability p = 2/5 = 0.4
Note that probability here is given as:
Pr [X ≥ 3] = [tex]\sum_{x=3}^{5}.[/tex][tex]\binom{n}{x}[/tex] pˣ (1-p)ⁿ⁻ˣ
→ [tex]\sum_{x=3}^{5}.[/tex][tex]\binom{n}{x}[/tex] (0.4)ˣ (0.6)⁵⁻ˣ
= 992/3125
= 0.31744
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(a)Identify the relevant population for the below foci, and suggest the appropriate sampling
design to investigate the issues, explaining why they aare appropriate. Wherever necessary
identify the sampling frame as well.
A public relations research department wants to investigate the initial reactions of heavy soft-
drink users to a new all-natural soft drink
The relevant population for the below foci example is a small population and:
When a firm wants to investigate the first response of heavy fruit drink uses to a new all natural fruit drink and the best sampling to use random sampling.What is Simple random sampling?This is known to be a kind of probability sampling where the researcher randomly takes a subset of participants from a given population.
Note that the member of the population has an equal chance of being selected and as such, in the case above, The relevant population for the below foci example is small population and:
A firm wants to investigate the first response of heavy fruit drink uses to a new all natural fruit drink and the best sampling to use random sampling.Learn more about population from
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The velocity of the water jet discharging from the orifice can be obtained from v=\12ih, where h = 2 m is the depth of the orifice from the water surface. Determine the time for a particle of water leaving the orifice to reach point B and the horizontal distance x where it hits from surface.
The time for a particle of water leaving this orifice to reach point B and the horizontal distance are 0.553 seconds and 3.46 meters respectively.
How to calculate the time?First of all, we would determine the velocity of the water jet discharging from the orifice by using this formula:
V = √(2gh)
V = √(2 × 9.81 × 2)
V = 6.264 m/s.
Next, we would determine the time taken to reach point B as follows:
S = Sa + Uy(t) + ½at²
-1.5 = 0 + 0(t) + ½ × (-9.81) × t²
t = 0.553 seconds.
Now, we can determine the horizontal distance:
x = xa + Vt
x = 0 + 6.264(0.553)
x = 3.46 meters.
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A ____ is either in the pressure reducer or in the downstream side of the system to ensure that the control air pressure does not exceed about 30 psig. Group of answer choices
Answer:
A relief valve is either in the pressure reducer or in the downstream side of the system to ensure that the control air pressure does not exceed about 30 psig.
The selective thickness shims are measured with a(n): Group of answer choices hydraulic press. outside micrometer. dial indicator. depth micrometer.
The selective thickness shims are measured with an outside micrometer.
What is a micrometer?It should be noted that a micrometer simply means an instrument for making precise linear measurement of dimensions.
In this case, the selective thickness shims are measured with an outside micrometer.
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What is software certification? Discuss its importance in the changing scenario of software industry.
The software industry is evolving, and software certification is crucial. Software certification is a digitally signed certificate that verifies the identification of an individual or company.
What is software certification?A certificate, sometimes known as a digital certificate, is a special document that has been digitally signed and authenticates the identity of a person or business.
Its validity may be checked using public-key cryptography to make sure that the program or website you are accessing is reliable.
Software developers must demonstrate that their program executes the XBRL conformance suites successfully in order to be certified.
They must also supply extra test cases so that XBRL employees can test the program further. The validity of certification is one year, renewable yearly.
Hence the software industry is evolving, and software certification is crucial.
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what's the voltage supplied to the light fixtures in the communication room of the manufacturing facility?
a.208V
b.120V
c.277V
d.480V
The voltage supplied in the communication room to the light fixtures can be 120 volts or 277 volts respectively.
Options B and C are the correct answers.
What is voltage?
Voltage is the electric force that makes the charges move which creates an electric current.
The light fixtures are the component of light that is being attached to the wall or a ceiling that holds any kind of lighting element. For instance, the holder of a bulb in which it is fixed is treated as a light fixture. The general voltage produces by a light fixture is 120 volts but preferable should be at 277 volts.
Therefore, all the volts except which is mentioned in options A and D cannot correspond to the voltage of light fixtures.
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A transformer has 300,000 windings in its primary coil and uses 12,000V AC input. (4 points) How many windings would be needed to produce at output of 110V AC
Answer:
2750
Explanation:
The number of windings and the voltage are proportional.
__
Let n represent the number of windings to produce 110 Vac. Then the proportion is ...
n/110 = 300,000/12,000
n = 110(300/12) = 2750 . . . . multiply by 110
2750 windings would be needed to produce 110 Vac at the output.
When adding two 8 bit binary numbers, which of the following statements is true?
Answer:
The result might require 9 bits to store
What are the minimum and maximum required footing projections for a concrete footing having a thickness of 8 inches
The minimum and maximum required footing projections for a concrete footing having a thickness of 8 inches will be 4 inches and 8 inches.
What is projection?It should be noted that footing projections are important for construction purposes
In this case, the minimum and maximum required footing projections for a concrete footing having a thickness of 8 inches will be 4 inches and 8 inches.
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Which thematic group is involved in the transmission and generation of electrical power?
a.Communication Systems
b.Control Systems
c.Computer Systems
d.Energy Systems
e.Electronic Systems
Answer:
The 17 distinct years Mariah Carey has topped Billboard's Hot 100, spanning an historic four consecutive decades:
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2005
2006
2008
2019
2020
2021
