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.
Answers
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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Related Questions
The A/C compressor will not engage when the A/C is turned on. The static refrigerant pressure is 75 psi and the outside temperature is 72 degrees F. Technician A says that a poor connection at the pressure cycling switch could be the cause. Technician B says that a faulty A/C clutch coil could be the cause. Who is correct
Answers
In the case above, poor connection at the pressure cycling switch and also a faulty A/C clutch coil could be the cause.
What is likely the reason when an A/C compressor will not engage if A/C is turned on?The cause that hinders the A/C Compressor from engaging are:
Due to low pressure lockout.Due to a poor groundDue to bad clutch coil.Dur to an opening in the wire that links to the clutch coil.Due to a blown fuse.Note that the pressure switches is known to be one that control the on/off function of any kind of AC compressor and as such, if there is switch failure, it can hinder the AC compressor from functioning at all.
Therefore, technician A and B are correct.
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Tech A says that if a CV boot is torn, it can typically be replaced without replacing the entire joint or shaft. Tech B says that worn CV joints can make a clicking noise when driving while making a tight turn. Who is correct
Answers
Both Technician A and Technician B are correct based on the information provided.
When to replace a CV boot?The CV boot on an automobile vehicle should be replaced when it is torn but shouldn't have been torn for too long. Thus, you should just replace the boot when the CV joint is not yet completely damaged or full of dirt.
Similarly, worn CV joints in an automobile vehicle can make a clicking noise when driving while making a tight turn on a road.
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The local interlock system on a hybrid vehicle detects when ________ have been removed from high-voltage circuits.
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The local interlock system on a hybrid vehicle detects when covers have been removed from high-voltage circuits.
What is a hybrid vehicle?A hybrid vehicle can be defined as a mechanical system that is designed and developed to use multiple sources of power such as fuel and batteries, so as to enable it move from one point to another.
By design, the local interlock system on a hybrid vehicle is designed and developed to detect when covers have been removed from high-voltage circuits.
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Can you pls help to draw this sketch of interpretation of a square prism properly PLS HELP
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This sketch of interpretation of a square prism properly Parallel-line Method: It is used for growing prisms and single curved surfaces like cylinders, wherein all of the edge erase of lateral surfaces are parallel in every different.
What is the rectangular isometric drawing?An isometric drawing is a three-D illustration of an object, room, construction, or layout on a 2D surface. One of the defining traits of an isometric drawing, in comparison to different sorts of three-D illustration, is that the very last picture isn't always distorted. This is because of the reality that the foreshortening of the axes is the same.
A rectangular prism is a 3-dimensional cuboid wherein the bottom and pinnacle are the same squares and the last four faces are rectangles.
A rectangular prism's contrary aspects and angles are congruent and parallel to every different. A rectangular prism has the same at the least of its period to every different.
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As described by Bronfenbrenner, the environmental system that consists of links between microsystems is the
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As described by Bronfenbrenner, the environmental system that consists of links between microsystems is the mexosystem.
What is a microsystem?It should be noted that a microsystem simply means ten pattern of activities that's expressed by an individual in a setting.
In this case, as described by Bronfenbrenner, the environmental system that consists of links between microsystems is the mexosystem.
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name the three exposure techniques in photolithography. what are the alternatives to photolithography in ic processing?
Answers
The three exposure techniques in photolithography are:
ContactProximityProjectionAlternatives to photolithography in IC processing include;
X-rayUVIon, andElectron lithographyWhat is Photolithography?Photolithography is a term in integrated circuit development that describes the patterned films that are formed when a beam of light falls on a substance.
This phenomenon protects the surface of sensitive materials such as glass during some operations like etching. UV and X-rays can be used for this purpose.
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The elbow joint is designed to allow flexing (bending) and extension (straightening) of the forearm. What specific structural combination at the elbow joint prevents it from hyperextension (bending backward)
Answers
The specific structural combination at the elbow joint that prevents it from hyperextension is olecranon process and olecranon fossa on humerus.
What is olecranon process?
Olecranon process of the ulna forms the outer bump of the elbow and fits into the fossa of the humerus when the arm is extended.
What is olecranon fossa on humerus?The olecranon fossa is a deep triangular depression on the posterior side of the humerus, superior to the trochlea.
It provides space for the olecranon of the ulna during extension of the forearm.
Thus, the specific structural combination at the elbow joint that prevents it from hyperextension is olecranon process and olecranon fossa on humerus.
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If a material is found to be in the tertiary phase of creep, the following procedure should be implemented:
a.The component should undergo dye penetrant process and condition monitored.
b.The crack should be stopped, drilled and condition monitoring should be applied.
c.The component should be replaced immediately.
d.None of the above.
Answers
When a material is found to be in the tertiary phase of creep, the following procedure should be implemented that is the component should be replaced immediately. Therefore, Option C is correct.
What do you mean by a tertiary degree of creep?Tertiary Creep has an extended creep rate and terminates when the material breaks or ruptures. It is related to each necking and formation of grain boundary voids. The wide variety of possible stress-temperature- time combos is infinite.
Therefore, When a material is found to be in the tertiary phase of creep, the following procedure should be implemented that is the component should be replaced immediately. Option C is correct.
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An injector pressure drop test to see if the injector is restricted with deposits can be done using an?
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An injector pressure drop test to see if the injector is restricted with deposits can be done using an integer test.
What is injector strain drop?Fuel injectors have a glide charge. This glide charge of the injector is rated at a sure strain drop throughout the injector. Meaning the injector glide is say 30#/hr at 42.five PSI. This approach that that injector will glide 30#/hr so long as the strain on the deliver side, minus the strain withinside the manifold is 42.five psiListening or Clicking Test.
Start the engine and permit it to idle. Keep the engine strolling and contact the give-up of a protracted steel screwdriver towards the gas injector. Put your ear on the alternative give up of the screwdriver. A clicking sound approaches the injector's working.
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Directions: Correct the errors.
to
1. I went to the library for study last night.
2. Helen borrowed my dictionary for to look up the spelling of "occurred."
3. The teacher opened the window for letting some fresh air in the room.
4. I came to this school for learn English.
5. I traveled to Osaka for to visit my sister.
Answers
Answer:
1. I went to the library to study last night.
2.Helen borrowed my dictionary to look up the spelling of "occurred."
3.The teacher opened the window to let some fresh air into the room.
4..I came to this school to learn English.
5.I traveled to Osaka to visit my sister.
Explanation:
...
Heater control valves can not leak coolant
True
False
Answers
Heater control valves can not leak coolant
it is true
true, heater control valves DO NOT leak coolant.
:)
A ball is thrown vertically up with a velocity of 80 ft/sec at the edge of a 200-ft cliff. Calculate the height h to which the ball rises and the total time t after release for the ball to reach the bottom of the cliff. Neglect air resistance and take the downward acceleration to be 32.2 ft/sec.
Answers
Answer:
y = ut + [tex]\frac{1}{2}[/tex][tex]at^{2}[/tex] , y = 80t - [tex]\frac{1}{2}[/tex][tex]32.2t^{2}[/tex]
for y = -200 ft,
-200 = 80t - [tex]16.1t^{2}[/tex] or [tex]16.1t^{2}[/tex] - 80t - 200 = 0
t = 80 ± [tex]\frac{\sqrt{80^{2} + 4(16.1)(200) }}{2(16.1)}[/tex] = 6.80 sec. ( or - 1.83 s)
For y = 0, [tex]u^{2}[/tex] = [tex]u_{o}^{2}[/tex] + 2ay, y = h = [tex]\frac{0-80^{2} }{-2(32.2)}[/tex]
= 99.4 ft.
Explanation:
Hope this helped, please message me if I made a mistake!
-Matt
What line separates two lanes traveling in the same direction
Answers
Answer:
White lane lines separate lanes of traffic moving in the same direction. (UK)
what documentation is required when a pilot has performed preventive maintenance on an aircraft?
Answers
The documents that is required when a pilot performs preventive maintenance is that
The above functions need to be carried out by the holder of at least one Part 61 Private Pilot Certificate and the person need to have been a registered owner (or co-owner) of the aircraft.
What is the preventive maintenance about?Note that in the above case, an Authorization to carry out preventive maintenance and also authorization to restart is needed.
If a preventive maintenance is to be performed on an aircraft, the paperwork needs:
The signaturecertificate numberThe kind of certificate held by the individual that is approving the work, A description of the work that needs to be entered in the aircraft maintenance records.Learn more about preventive maintenance from
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Which of these are core properties of kanban? (select all that apply) 1 point retrospectives daily stand-up limit work in progress visualize the work manage flow
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The core properties of kanban include:
Visualize the work.Limit workManage flow.What is kanban?It should be noted that kanban simply means a popular framework that's used to implement agile and devops software development.
The core properties of kanban include visualize the work, limit work and manage the flow.
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Why can’t we find all errors before we give the software to our customers?
Answers
Explanation:
what is protozoa define it with diagram srt-nhev-mvp
i m n * de
A feature control frame must be connected to
Answers
Answer:
Surface Parallelism When a surface is to be parallel to a datum plane, the feature control frame is connected by a leader to the surface, or to an extension line from the surface.
Explanation:
3. You were given the opportunity to be a project manager for Apple to work on a new product. Provide me with details on what that product is ( you make it up ), how will you approach the work and find resources for it.
Answers
You were given the opportunity to be a project manager for Apple to work on a new product by Product control examples additionally consist of the branding and consumer conversation.
What makes you a very good mission supervisor?Good mission managers recognize and recognize their marketplace and the enterprise in their projects. They look at the opposition and compare alternatives. A desirable mission supervisor remains updated at the brand new developments withinside the enterprise in their mission, and they show off a stable knowledge and know-how in their enterprise.
Product control examples additionally consist of the branding and consumer conversation required to release a brand new product. Each product, in its nascent form, calls for right branding. This creates recognition approximately the product withinside the marketplace. Advertising and PR managing additionally fall beneath neath the umbrella of product control.
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ensures that enough pressure is placed on the bearing to keep the shaft from moving around, but not so much that the bearing will run hot and begin to fail. Group of answer choices End play Preload Both A and B Neither A nor B
Answers
Preload ensures that enough pressure is placed on the bearing, so as to keep the shaft from moving around while preventing the bearing from running hot.
What is preload?Preload can be defined as the load (amount of force) that is generated from an axial interference within a bearing, which causes an elastic deformation between the rolling elements and raceway.
In Engineering, preload is a technique which ensures that enough pressure is placed on the bearing, so as to keep the shaft from moving around while preventing the bearing from running hot and failing.
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20. A spur gear pinion and gear shown on a drawing have a diametral pitch of 12. The pitch radius of the pinion is 1.500 inches and the gear ratio is
specified to be 1:3. On the print, you would expect the pitch diameter of the gear to be
OA. 9.00 inches.
Answers
On the print you would expect the pitch diameter of the gear to be 9.00 inches. Option A is right.
How to solve for the diameterGear ratio = 1/3
This is solved as number of teeth on pinion / teeth on gear
= Np/Ng
The pitch diameter = 1.5 x 2
= 3
Diametral pitch = 12
NP = 3 x 12 = 36
This is the teeth on piston
Ng = 3NP
Ng = 3 * 36
= 108
Hence pitch diameter = 108/12 = 9
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Six 20 watt, 12-volt luminaires (lighting fixtures) are supplied from a small, 12-volt transformer that is 60 feet away from the fixtures. the wire used is 14 awg. what is the voltage applied to the fixtures? use k = 11.6.
Answers
If the wire used is 14 awg. The voltage applied to the fixtures is: 8.61 volts.
Voltage applied to the fixturesFirst step is to calculate the amperes using this formula
I = P ÷ E
Where:
I =load current (amperes)=?
P =Product of voltage=(6)(20)
E =Electrical circuit's=12
Let plug in the formula
I= (6)(20) ÷ 12
I=120÷12
I= 10 amps
Second step is to calculate the Voltage drop
Using this formula
Vd = [2KIL] ÷ CMA
Where:
Vd= Voltage drop( volts)=?
K=Direct current constant=11.6
I=Load current (amperes)= 10 amps
L =Length in feet=60 feet
CMA=Circular mill area= 4110
Let plug in the formula
Vd= [(2)(11.6)(10)(60)] ÷ 4110
Vd=13,920÷4110
Vd= 3.3869 volts
Third step is to calculate Voltage at fixture
Voltage at fixtures=Electrical circuit's-Voltage drop
Voltage at fixtures=12 - 3.3869
Voltage at fixtures=8.6131 volts
Voltage at fixtures=8.61 volts (Approximately)
Therefore the voltage applied to the fixtures is: 8.61 volts.
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Getting the bottom of your feet burned when walking on hot sand is due to what form of energy transmission? group of answer choices
Answers
Getting the bottom of your feet burned when walking on hot sand is due to a form of energy transmission known as conduction.
The types of energy transmission.In Science, there are three (3) main types of energy transmission and these include the following:
ConvectionRadiationConductionIn this scenario, we can infer and logically conclude that burning the bottom of your feet when walking on hot sand is primarily due to a form of energy transmission known as conduction because it involves the transfer of thermal energy (heat) due to the movement of particles.
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The property that determines a material’s ability to conduct electricity is called?
Answers
Answer:
conductivity
Explanation:
Conductivity is the measure of the ease at which an electric charge or heat can pass through a material.
lehighedu
In third ange projection draw the plain view, front view and end view.
Answers
Answer:
The front view, is a drawing of the block, as if you are looking directly at the front of the object. The side view, is a drawing of the block, when it has been rotated so that one of its sides is now directly in view. The plan view, is a 'birds eye' view, from above.
Check the level of motor oil in your engine by ?
Answers
Answer:
cpct gvxjjxjhdfjokjdzfjiyddzzsjhxf
Steel stirrups in reinforced concrete beams help to resist ________________. Select one: a. Bending b. Deflection c. Shear d. Tension
Answers
Answer:
Shear is the answer
hope it helps!
Cisco what three best practices can help defend against social engineering attacks?
Answers
The three best practices that can help defend against social engineering attacks are:
Do not provide password resets in a c.ha.t window. Resist the urge to click on enticing web links. Educate employees regarding policies.What is Social Engineering?This refers to the art of manipulation of people through social interactions with the aim of getting access to sensitive information that gives unauthorized access.
Hence, we can see that some of the best practices that can be used to defend against social engineering include not clicking on suspicious links, educating people about the dangers, etc.
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List three types of gears
Answers
Answer:
Parallel Axes / Spur Gear, Helical Gear, Gear Rack, Internal Gear.Intersecting Axes / Miter Gear, Straight Bevel Gear, Spiral Bevel Gear.Nonparallel, Nonintersecting Axes / Screw Gear, Worm, Worm Gear (Worm Wheel)
Automatic cutting requires a(n) ______ or a(n)______to control the operation.
Answers
Automatic cutting requires a controller or a computer to control the operation.
What is an Automatic Cutting Equipment?Automatic Cutting Equipment is the machine that is computerized which is used for cutting the roll materials as well as the other materials in the plates.
The Automatic cutting machine requires the a controller or the computer to cut the materials which does not requires the adjustment of the material as it is automatic.
The speed of the computer or the controller is organized in the manner that works at the speed of the torch.
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A prairie house built by Frank Lloyd Wright. The house has rectangular angles, close to the ground, and a bank of windows. The building is made of brick. The house above has an overall __________ emphasis. a. vertical b. horizontal c. diagonal
Answers
The house has an overall horizontal emphasis.
What is emphasis?Emphasis in architecture is the strategy that is used to draw the viewer's attention to a design.
Here, the house has rectangular angles, close to the ground, and a bank of windows. This depicts a horizontal axis.
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