a. Use Solver to set cell C17 as the objective cell with a target value of 50000 by changing cell C12 and save the results as a scenario named "$50,000". b. Restore original values, run Solver to find a selling price for a PHRE commission of 75000, and save the results as a scenario named "$75,000".
How can Solver be used to find target PHRE net commission amounts and save the results as scenarios for $50,000 and $75,000 objectives?To achieve the desired result using Solver, follow the steps outlined below:
Building the Solver problem with cell C17 as the objective cell and setting the objective to a value of 50000 by changing cell C12: Open the Solver tool in the spreadsheet application.Set the objective cell to C17.Specify that the objective should be set to a value of 50000 by changing cell C12.Adjust any necessary constraints or settings. Solve the problem using Solver and save the results. Name the scenario as "$50,000" to represent the objective of achieving a net commission amount of $50,000. Restoring the original values and running another Solver problem to find a selling price for a PHRE commission of 75000:Restore the original values in the spreadsheet. Open the Solver tool again.Set the objective cell to C17.Specify that the objective is to find a selling price for a PHRE commission of 75000 by changing a relevant cell.Adjust any necessary constraints or settings. Solve the problem using Solver and save the results. Name the scenario as "$75,000" to represent the objective of achieving a net commission amount of $75,000.By following these steps and using Solver, you can find the target PHRE net commission amounts for the given objectives and save them as scenarios for future reference.
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Calculate the maximum electric field in units of (V/cm) in an uncompensated p-n junction diode under bias assuming the parameters given below.
• Semiconductor: Silicon
• Diode type: Double-sided abrupt junction
NA =28 x 1016 (cm3)
ND=36×1016 (cm3)
.
• Bias: V=-1.5 (Volts)
Temperature: 300K
.
As something of a result, the highest electric field in an unpaid labor p-n junction diode is around 8.93 x 104 V/cm. To calculate the maximum electric field (Emax) in an uncompensated p-n junction diode, we can use the following formula:
Emax = V / W
Where V is the applied bias voltage and W is the depletion width of the diode.
The depletion width can be calculated using the following formula for a double-sided abrupt junction:
W = [(2εε0 / q) * (NA*ND / (NA+ND)) * (Vbi + V)]^0.5
Where ε is the permittivity of silicon, ε0 is the vacuum permittivity, q is the charge of an electron, NA is the acceptor doping concentration, ND is the donor doping concentration, Vbi is the built-in potential, and V is the applied bias voltage.
We can first calculate the built-in potential using the following formula:
Vbi = (kT / q) * ln(NA*ND / ni^2)
Where k is the Boltzmann constant, T is the temperature in Kelvin, and ni is the intrinsic carrier concentration of silicon at 300K, which is approximately 1.5 x 10^10 (cm^-3).
Plugging in the given values, we get:
Vbi = (8.617 x 10^-5 eV/K * 300K / 1.602 x 10^-19 C) * ln(28 x 10^16 cm^-3 * 36 x 10^16 cm^-3 / (1.5 x 10^10 cm^-3)^2)
≈ 0.787 V
Next, we can calculate the depletion width using the formula above:
W = [(2εε0 / q) * (NA*ND / (NA+ND)) * (Vbi + V)]^0.5
= [(2 * 11.7 * 8.854 x 10^-14 F/cm / 1.602 x 10^-19 C) * (28 x 10^16 cm^-3 * 36 x 10^16 cm^-3 / (28 x 10^16 cm^-3 + 36 x 10^16 cm^-3)) * (0.787 V - 1.5 V)]^0.5
≈ 0.168 µm
Finally, we can calculate the maximum electric field using the formula at the beginning:
Emax = V / W
= -1.5 V / (0.168 µm * 10^-4 cm/µm)
≈ -8.93 x 10^4 V/cm
Therefore, the maximum electric field in AP the uncompensated p-n junction diode is approximately 8.93 x 10^4 V/cm.
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Technician A says that a defective crankshaft position sensor can cause a no spark condition technician B says that a faulty ignition control module can cause a no spark condition which technician is correct
the activity of the determines the degree of arousal or wakefulness of the cerebral cortex. multiple choice
Decreased activity of the cerebral cortex leads to decreased arousal and wakefulness.
What is cerebral cortex?The cerebral cortex is the outer layer of the brain which is responsible for higher level thinking and decision-making. It is composed of grey matter, which contains a large number of neurons and glial cells, and plays a major role in the integration and control of sensory, motor, and cognitive processes. The cortex is divided into four lobes - the frontal, parietal, occipital, and temporal lobes - each of which is responsible for different functions.
The frontal lobe is responsible for executive functions such as planning, decision-making, and problem-solving; the parietal lobe is responsible for the integration of sensory information; the occipital lobe is responsible for the processing of visual information; and the temporal lobe is responsible for the processing of auditory information. Together, these lobes allow us to think, reason, and make decisions.
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Blank hours awake = same effect as .07 blood alcohol concentration
Answer:
18
Explanation:
18 hours awake = same effect as .07 blood alcohol concentration
an ideal transformer has 200 windings in primary side and 400 winding in secondary side. if the peak input voltage to this transformer is 120 v ac. what is the peak output voltage at the secondary side?
The turns ratio determines the voltage on the secondary. In this scenario, there will be a 3 to 1 reduction and your secondary voltage will be 40V, or one-third of the applied 120V.
You may calculate the same result using volts per turn as well. You get 0.4 volts per turn by dividing 120V by the primary's 300 turns. These figures apply to transformers that are perfect. Hysteresis and eddy current losses in the core, as well as losses in the transformer caused by joule heating of the coils, will all occur in the actual world.
The secondary voltage is derived by multiplying the voltage by the proportion of main to secondary turns (20/100=0.2) and 230v*0.2=46v.
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Technician A says it is your duty to fight a fire to the death to save property. Technician B says do not fight a fire unless you can do so safely. Who is correct
Tech B is correct, as the firefighters should not risk their lives unless they can do so safely.
What is a Firefighter?
A firefighter, also known as a fireman, is a highly trained individual who works to fight and extinguish fires. They also work to prevent fires, serve as emergency medical technicians (EMT), and investigate fire causes.
Because a firefighter is almost always the first official "on the scene" of a fire, car accident, or other emergency, they are sometimes referred to as "first responders." Some firefighters work as professionals, while others volunteer in their communities.
There are four primary responsibilities and duties: putting out fires, rescuing and caring for the sick and injured, working to prevent future fires, and investigating the causes of fires, particularly if arson is suspected.
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What types of materials are best for preventing heat transfer through convection?.
The types of materials are best for preventing heat transfer through convection include the following:
FiberglassWoolCottonPaper (wood cellulose)StrawFoamsWhat are the types of energy transmission?In Science, there are three (3) main types of heat energy transmission and these include the following:
ConvectionRadiationConductionWhat is convection?Convection can be defined as a heat energy transfer process which typically involves the transfer of heat, as a result of the movement of mass.
Based on scientific research and experiments, convection is generally considered to be a more effective and efficient means of heat transport on planet Earth when compared to conduction.
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A walrus loses heat by conduction through its blubber at the rate of 220 W when immersed in −1.00°C water. Its internal core temperature is 37.0°C, and it has a surface area of 2.23 m2. What is the average thickness of its blubber? The conductivity of fatty tissue without blood is 0.20 (J/s · m · °C).
Answer:
The average thickness of the blubber is 0.077 m
Explanation:
Here, we want to calculate the average thickness of the Walrus blubber.
We employ a mathematical formula to calculate this;
The rate of heat transfer(H) through the Walrus blubber = dQ/dT = KA(T2-T1)/L
Where dQ is the change in amount of heat transferred
dT is the temperature gradient(change in temperature) i.e T2-T1
dQ/dT = 220 W
K is the conductivity of fatty tissue without blood = 0.20 (J/s · m · °C)
A is the surface area which is 2.23 m^2
T2 = 37.0 °C
T1 = -1.0 °C
L is ?
We can rewrite the equation in terms of L as follows;
L × dQ/dT = KA(T2-T1)
L = KA(T2-T1) ÷ dQ/dT
Imputing the values listed above;
L = (0.2 * 2.23)(37-(-1))/220
L = (0.2 * 2.23 * 38)/220 = 16.948/220 = 0.077 m
A length of pipe will weigh the most when
Answer:
Mark me please as brainliest
Explanation:
A length of pipe will weigh the most when O A. part dimensions are such that the pipe is in the MMC. O B. the OD and ID are at the minimum allowable limit. OC. the OD and ID are at the maximum allowable limit. OD.part dimensions are such that the pipe is in the LMC
Answer:
Part dimensions are such that the pipe is in the MMC.
Explanation:
what is a computer device
Scheduling can best be defined as the process used to determine:
Answer:
Overall project duration
Explanation:
Scheduling can best be defined as the process used to determine a overall project duration.
A Contractor Has A Job Which Should Be Completed In 100 Days. At Present, He Has 80 Men On The Job And It Is Estimated That They Will Finish The Work In 130 Days. Of The 80 Men, 50 Are Each Paid ₱120.00 A Day, 25 At ₱180.00 A Day, And 5 At ₱250.00 A Day. For Each Day Beyond The Original 100 Days, A Contractor Has To Pay ₱500.00 Liquidated Damages.A) How Many
A contractor has a job which should be completed in 100 days. At present, he has 80 men on the job and it is estimated that they will finish the work in 130 days. Of the 80 men, 50 are each paid ₱120.00 a day, 25 at ₱180.00 a day, and 5 at ₱250.00 a day. For each day beyond the original 100 days, a contractor has to pay ₱500.00 liquidated damages.
a) How many more men should the contactor add so that he would complete the work on time?
b) If of the additional men, 2 are paid ₱180.00 a day, and the rest at ₱120.00 a day, would the contractor save money by employing more men and not paying the fine?
A contractor has a job that should be completed in 100 days. At present, he has 80 men on the job and it is estimated that they will finish the work in 130 days. Of the 80 men, 50 are each paid ₱120.00 a day, 25 at ₱180.00 a day, and 5 at ₱250.00 a day. For each day beyond the original 100 days, a contractor has to pay ₱500.00.
liquidated damages.(a) How many more men should the contractor add so that he would complete the work on time?In the first case, we see that the contractor already has 80 men and they are working for 130 days to complete the job. So, we can use the following formula to determine the additional number of workers required to finish the work in 100 days.
b) If of the additional men, 2 are paid ₱180.00 a day, and the rest at ₱120.00 a day, would the contractor save money by employing more men and not paying the fine Let’s assume that the contractor adds 440 workers, of which 2 are paid ₱180.00 a day and the rest are paid ₱120.00 a day.
The total cost of the new workers is, therefore, ₱9600.00 + ₱4500.00 + ₱49800.00 = ₱63,900.00.The cost of liquidated damages would be calculated as follows: $$LD = (130-100) \cdot 500 = ₱15,000.00$$.
Therefore, the contractor would save money if he employs more men and not pays the fine. The contractor’s savings would be:$$Savings = LD - Additional cost$$$$= 15000.00 - 63900.00 $$$$= -48900.00$$
Thus, we can see that the contractor would save ₱48,900.00 by employing more men and not paying the fine.
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describe an engineering advance that has led to greater knowledge about the solar system
Answer:
Space Rovers
Explanation:
The engineering advancement of the invention space rovers has changed space exploration tremendously. The first space rover ever to go out onto another planet was made by NASA and put on mars to learn more about the red planet and see if there where any plausible signs of past or maybe even present life. This mission was incredibly successful and for the first time in space exploration history, there was a spacecraft that you could move around that could with do the conditions of the planet for weeks, months, sometimes years at a time, moving around taking pictures and constantly collecting data. This was revolutionary for scientists, this way they could get copious amounts of information just on rover and not having to send multiple crafts only to die in the first few hours but sending back a relative amount of information. With rovers you can have them collect samples and bring the back to earth, not something that could’ve been done without a human, until rovers. They have completely changed and improved collecting data from other planets and have been one of the most revolutionary inventions when it comes to space exploration.
This is what I put for the answer, hope it helps in some way.
6 a 200-mw 3.5-v zener diode is specified at a test current of 10 ma. its incremental resistance is 10 q. what voltage will result when conducting a reverse current of 20 ma? what is the maximum current it can safely dissipate?
The load current is to be varied from 12 to 100 mA while maintaining a constant voltage across R at 12 7.2 = 4.8 V.
When the load current is at its highest, the minimal Zener current will occur. The output voltage will remain constant over the regulating range if R = 43.5 is added to the circuit. It is possible to write the current I in a p-n junction diode as I=I0(exp(eVKBT)1), where I0 is referred to as the reverse saturation current, V is the voltage across the diode, which is positive for forward bias and negative for reverse bias, I is the current through the diode, and KB is the Boltzmann constant.
The load current will be zero (IL = 0) when there is no load connected to the circuit.
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Where is time-to-arm (TA) and time-to-burst (TB) set on the B83?
The time-to-arm (TA) and time-to-burst (TB) settings on the B83 nuclear bomb are configured through the weapon's fuzing system.
The time-to-arm (TA) and time-to-burst (TB) settings on the B83 nuclear bomb are configured through the weapon's fuzing system.
The fuzing system is responsible for controlling the detonation sequence, and it allows the users to set the TA and TB values based on their desired operational requirements. The TA value ensures the weapon arms itself after a certain time period, while the TB value determines the time at which the weapon will detonate. These settings are crucial for the safe and effective use of the B83 nuclear bomb in various scenarios.
A fuze is a weapon subsystem that activates the warhead mechanism in the vicinity of the target and also maintains the warhead in a safe condition during all prior phases of the logistic and operational chain.
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can someone please help me with this
I've an exams tomorrow
Answer:
I am in Eight Grade
Explanation:
Consider the products you use and the activities you perform on a daily basis. Describe three examples that use both SI units and customary units for measurement.
Answer: Three examples of activities that I can perform on a daily basis that involves both metric units (SI units) and customary units include: measuring the length of a door using a tape measure, which includes both SI units and customary units (like feet, inches, and centimeters); baking a cake that requires one teaspoon (customary unit) of baking soda, which could also be converted into four grams (SI unit); weighing myself on a weighing scale, which can be measured by pounds (customary unit) or kilograms (metric unit).
Explanation: I big brain :) (Not Really I Just Wanted To Help) I hope this helped! ;)
Three activities that I can do on a daily basis that involve both metric units (SI units) and customary units are: measuring the length of a door with a tape measure, which includes both SI units and customary units (like feet, inches, and centimeters); baking a cake that calls for one teaspoon (customary unit) of baking soda, which can also be converted to four grams (SI unit); and weighing myself on a weighing scale, which can be measured in pound and kilogram (metric unit).
In 3-5 sentences, explain one Internet of Things technology and how abstractions improve its functionality
One example of Internet of Things Technology is Go.o.gle Home Voice Controller. This technology is one of the most popular IoT devices in the world. It affords one the ability to use voice to control services such as:
In computer science, abstraction is defined similarly. It is a condensed form of anything technical, such as a software function or object. The purpose of "abstracting" data is to minimize complexity by eliminating irrelevant information.
By simplifying the commands required for the above device to work, abstraction has been utilized.
For example, with a simple command such as "Light" the above named device would turn on the light in a space where it has been set upo.
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at what point should the timing begin for the first leg outbound in a nonstandard holding pattern?
The timing for the first leg outbound in a nonstandard holding pattern should begin at the point where the aircraft reaches the holding fix.
A holding pattern is a standard procedure that an aircraft follows when it has to hold over a particular location for some time before landing. When it comes to a nonstandard holding pattern, it's a holding pattern in which the direction of turns is different than that specified for standard holding patterns. Standard holding patterns have right-hand turns. Nonstandard holding patterns have left-hand turns. As an example, nonstandard holding patterns are used in some approaches to keep the aircraft within the localizer beam as well as the protected airspace. In the nonstandard pattern, the aircraft would be turned to the right to fly the outbound leg, then a left turn would be made to fly inbound. In the nonstandard holding pattern, the aircraft should turn in the direction that will help it to fly toward the protected airspace.
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A(n) ____________ is created through the placement a real or implied stationary line element within the frame.
The term you are referring to is "implied line." An implied line is created by placing a real or suggested stationary line element within the frame.
This line is not physically present but is instead created through the arrangement of other elements in the composition. Implied lines are used to guide the viewer's eye, create a sense of movement, and add visual interest to the artwork or photograph.
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Complete the sentence to identify a useful advance in the culinary arts.
The Egyptians invented
, which they used to store
for many years.
Answer:
silos to store grains
Explanation:
I got it from PLATO... hope this helps...
A broad range of subjects are included in the culinary arts. Food science and nutrition, ingredient quality, seasonality, flavors and textures, presentation and plate layout, and more are some of these. There are numerous specialties, sub-niches, and job titles that fall within this broad category.
What are the characteristics of culinary arts?Additionally, to help students become more well-rounded cooks, a variety of cooking techniques, numerous recipes, new ingredients, and various flavor profiles are presented to them.
The term “culinary arts” is used to refer broadly to the processes involved in preparing, cooking, plating, presenting, and serving food. It relates to meals and the goods, not sweets or breads. That make up a meal, such as appetizers, side dishes, and main courses.
Therefore, Students who pursue a culinary education have the opportunity to study under several of the industry's best chefs.
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hat is the frequency of a clock waveform whose period is 50 microseconds 10 kHz 20 kHz 100 MHz 100 kHz Keep in mind, the frequency f = 1/period. f = 1/T
The frequency of the clock waveform with a period of 50 microseconds is 20 kHz.
Frequency is a fundamental concept in physics and engineering that refers to the number of occurrences of a repeating event or phenomenon within a specific time interval. It is typically measured in hertz (Hz), which represents the number of cycles or oscillations per second.
To calculate the frequency, we can use the formula:
f = 1 / T
where f is the frequency and T is the period.
In this case, the period is given as 50 microseconds. To convert microseconds to seconds, we divide by 1,000,000:
T = 50 microseconds / 1,000,000 = 0.00005 seconds
Now we can calculate the frequency:
f = 1 / T = 1 / 0.00005 = 20,000 Hz = 20 kHz.
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Consider the following data for 2008 in a small suburban community:
1. number of accidents: 360 fatal 10 injury 36 pdo 314
2. number of fatalities 15
3. area population: 50,000
4. registered vehicles 35,000
5. annual vmt: 12,000,000
6. average speed 30 mi/hr
compute all relevant exposure and population based accident and fatality rates for this data. compare these to national norms for the current year. (hint: use the internet to location current national norms)
Answer:
Motorcyclist Fatality and Injury Rates per Vehicle Miles Traveled, 1998-2008. 10. 9. Fatalities in School Transportation Related Crashes,. 1998-2008.
Explanation:
2. The following segment of carotid artery has an inlet velocity of 50 cm/s (diameter of 15 mm). The outlet has a diameter of 11mm. The pressure at inlet is 110 mm of Hg and pressure at outlet is 95 mm of Hg. Determine the forces required to keep the artery in place (consider steady state, ignore the mass of blood in the vessel and the mass of blood vessel; blood density is 1050 kg/m3)
This question is incomplete, the missing diagram is uploaded along this answer below.
Answer:
the forces required to keep the artery in place is 1.65 N
Explanation:
Given the data in the question;
Inlet velocity V₁ = 50 cm/s = 0.5 m/s
diameter d₁ = 15 mm = 0.015 m
radius r₁ = 0.0075 m
diameter d₂ = 11 mm = 0.011 m
radius r₂ = 0.0055 m
A₁ = πr² = 3.14( 0.0075 )² = 1.76625 × 10⁻⁴ m²
A₂ = πr² = 3.14( 0.0055 )² = 9.4985 × 10⁻⁵ m²
pressure at inlet P₁ = 110 mm of Hg = 14665.5 pascal
pressure at outlet P₂ = 95 mm of Hg = 12665.6 pascal
Inlet volumetric flowrate = A₁V₁ = 1.76625 × 10⁻⁴ × 0.5 = 8.83125 × 10⁻⁵ m³/s
given that; blood density is 1050 kg/m³
mass going in m' = 8.83125 × 10⁻⁵ m³/s × 1050 kg/m³ = 0.092728 kg/s
Now, using continuity equation
A₁V₁ = A₂V₂
V₂ = A₁V₁ / A₂ = (d₁/d₂)² × V₁
we substitute
V₂ = (0.015 / 0.011 )² × 0.5
V₂ = 0.92975 m/s
from the diagram, force balance in x-direction;
0 - P₂A₂ × cos(60°) + Rₓ = m'( V₂cos(60°) - 0 )
so we substitute in our values
0 - (12665.6 × 9.4985 × 10⁻⁵) × cos(60°) + Rₓ = 0.092728( 0.92975 cos(60°) - 0 )
0 - 0.6014925 + Rₓ = 0.043106929 - 0
Rₓ = 0.043106929 + 0.6014925
Rₓ = 0.6446 N
Also, we do the same force balance in y-direction;
P₁A₁ - P₂A₂ × sin(60°) + R\(_y\) = m'( V₂sin(60°) - 0.5 )
we substitute
⇒ (14665.5 × 1.76625 × 10⁻⁴) - (12665.6 × 9.4985 × 10⁻⁵) × sin(60°) + R\(_y\) = 0.092728( 0.92975sin(60°) - 0.5 )
⇒ 1.5484 + R\(_y\) = 0.092728( 0.305187 )
⇒ 1.5484 + R\(_y\) = 0.028299
R\(_y\) = 0.028299 - 1.5484
R\(_y\) = -1.52 N
Hence reaction force required will be;
R = √( Rₓ² + R\(_y\)² )
we substitute
R = √( (0.6446)² + (-1.52)² )
R = √( 0.41550916 + 2.3104 )
R = √( 2.72590916 )
R = 1.65 N
Therefore, the forces required to keep the artery in place is 1.65 N
answer my question I will mark brainliest
The answer is 150cm
Answer:
150
Explanation:
Mark me Brainliest
Answer:
you have told the answer already as 150 cm
Explanation:
here is your answer hope you will enjoy mark me as brain list
thank you
What car is this? I thinks its a nissan 240sx but i dont know
Answer:
your right I had to look a little bit but you are correct
The big ben clock tower in london has clocks on all four sides. If each clock has a minute hand that is 11.5 feed in length, how far does the tip of each hand travel in 52 minutes?
Answer:
Updated question
The big ben clock tower in London has clocks on all four sides. If each clock has a minute hand that is 11.5 feet in length, how far does the tip of each hand travel in 52 minutes?
The distance traveled by the tip of the minute hand of the clock would be 62.59 ft
Explanation:
Let us assume the shape of the clock is circular.
the minute hand is equal to the radius = 11.5 ft
Diameter = radius x 2
Diameter = 11.5 x 2 = 23 ft
The distance traveled by the tip of the minute hand can be calculated thus;
the fraction of the circumference traveled by the minute hand would be;
52/60 = 0.8667
Circumference of the clock would be;
C = pi x d
where C is the circumference
pi is a constant
d is the diameter
C = 3.14 x 23
C = 72.22 ft
Therefore the fraction of the circumference covered by the minute hand would be;
72.22 ft x 0.8667 = 62.59 ft
Therefore the distance traveled by the tip of the minute hand of the clock would be 62.59 ft
A sprinter reaches his maximum speed in 2.5sec from rest with constant acceleration. He then maintains that speed and finishes the 100m in the overall time of 9.60 seconds. Determine his maximum speed . 5. The cone falling with a speed strikes and penetrates the block of packing material. The acceleration of the cone after impact is = −
The maximum Speed of the Sprinter from the velocity time graph of his motion is; 11.98 m/s
How to find the maximum speed?We are given;
Initial Speed; u = 2.5 s
Total distance; d = 100 m
Total time; T = 9.6 s
The total distance is;
d = ¹/₂(9.6 + (9.6 - 2.5) * v
where v is maximum speed.
Thus;
¹/₂(9.6 + (9.6 - 2.5) * v = 100
16.7v = 200
v = 200/16.7
v = 11.98 m/s
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bearing stress arises due to _____ loading from bolts, pins, and rivets.
The bearing stress arises due to compressive loading from bolts, pins, and rivets. The compressive loading refers to the type of force that squeezes a material and makes it shorter.What is bearing stress?The bearing stress, often known as the contact pressure, refers to the stress placed on one body by another body or surface in contact with it. Bearing stresses are determined by dividing the total force by the contact area's smallest dimension.
The stress is considered to be the same at all points in the contact surface and uniform over the contact surface. The contact surface's geometry has a considerable impact on the magnitude and distribution of bearing stresses.
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A parallel helical gearset consists of a 19-tooth pinion driving a 57-tooth gear. The pinion has a left-hand helix angle of 30°, a normal pressure angle of 20°, and a normal module of 2.5 mm.
Find:_______.
(a) The normal, transverse, and axial circular pitches
(b) The transverse diametral pitch and the transverse pressure angle
(c) The addendum, dedendum, and pitch diameter of each gear
Answer:
a)
normal circular pitch = 7.8539 mm
transverse circular pitch = 9.0689 mm
axial circular pitches = 15.7077
b)
transverse diametral pitch is 0.3464 teeth/mm
transverse pressure angle is 22.8°
c)
Addendum = 2.5 mm
dedendum = 3.125 mm
pinion diameter = 54.8482 mm and Gear diameter = 164.5448 mm
Explanation:
Given that;
module m = 2.5 mm
Number of teeth on Gear nG = 57 TEETH
Number of teeth on Pinion nP = 19 TEETH
Helix angle W = 30°
Normal Pressure angle β = 20°
finding the circular pitch
Pc = πm
we substitute
Pc = π * 2.5 mm = 7.8539 mm
now the diametral pitch p = π / Pc
= π / 7.8539
= 0.4 teeth/mm
a)
So the normal circular pitch
Pn = π / P
Pn = π / 0.4
Pn = 7.8539 mm
the transverse circular pitch
Pt = Pn / cosW
Pt = 7.8539 / cos30°
Pt = 9.0689 mm
for axial circular pitches
Px = Pt / tanW
Px = 9.0689 / tan30°
Px = 15.7077
b)
The transverse diametral pitch and the transverse pressure angle.
The transverse diametral pitch Pt = PcosW
= 0.4 * cos30°
= 0.3464 teeth/mm
transverse diametral pitch is 0.3464 teeth/mm
transverse pressure angle β1 = tan^-1 ( tan βn / cos W)
= tan^-1 ( tan20° / cos 30°)
= tan^-1 ( 0.42027 )
β1 = 22.8°
transverse pressure angle is 22.8°
c)
The addendum, dedendum, and pitch diameter of each gear
Now from table standard Tooth proportions for Helical Gears;
Addendum a = 1/p
= 1 / 0.4
= 2.5 mm
dedendum b = 1.25 / p
= 1.25 / 0.4
= 3.125 mm
now pinion diameter dP = Np / PcosW
= 19 / 0.4 (cos30°)
= 54.8482 mm
Gear diameter dG = nG / pcosW
= 57 / 0.4 (cos30°)
= 164.5448 mm