Give a turing machine that semidecides the language a∗ba∗b.

Answer:

a. will be damaged if energized

Explanation:

A hermetic compressor needs a coolant to prevent overheating of the motor. The cooling of the compressor depends on the flow of the refrigerant through the compressor hence when under a deep vacuum,  the motor winding of a hermetic compressor can overheat.  

A crankcase heater is used to prevent the mixing of refrigerant and oil at low temperatures. The mixing of refrigerant and oil can cause oil foaming in the vacuum. When under a deep vacuum,  the motor winding of a hermetic compressor can overheat if the crankcase heater is energized.

The part of a drill that holds the drill bit in place is called the chuck.

The chuck is a key component of a drill, as it securely holds the drill bit in place during operation. It is typically located at the end of the drill, and can be opened and closed to insert or remove the drill bit.

The chuck is usually operated by either a key or a lever, depending on the type of drill. It is important to make sure that the chuck is properly tightened when the drill bit is inserted, as this will ensure that the bit is secure and will not slip or come loose during drilling.

Additionally, it is important to make sure that the bit is compatible with the size of the chuck, as an improper fit could cause the bit to become stuck or damaged.

Learn more about The chuck: https://brainly.com/question/17206156

#SPJ4

Answer:

a) The maximum flowrate of the pump is approximately 13,305.22 cm³/s

b) The pressure difference across the pump is approximately 293.118 kPa

Explanation:

The efficiency of the pump = 78%

The power of the pump = 5 -kW

The height of the pool above the underground water, h = 30 m

The diameter of the pipe on the intake side = 7 cm

The diameter of the pipe on the discharge side = 5 cm

a) The maximum flowrate of the pump is given as follows;

\(P = \dfrac{Q \cdot \rho \cdot g\cdot h}{\eta_t}\)

Where;

P = The power of the pump

Q = The flowrate of the pump

ρ = The density of the fluid = 997 kg/m³

h = The head of the pump = 30 m

g = The acceleration due to gravity ≈ 9.8 m/s²

\(\eta_t\) = The efficiency of the pump = 78%

\(\therefore Q_{max} = \dfrac{P \cdot \eta_t}{\rho \cdot g\cdot h}\)

\(Q_{max}\) = 5,000 × 0.78/(997 × 9.8 × 30) ≈ 0.0133 m³/s

The maximum flowrate of the pump \(Q_{max}\) ≈ 0.013305 m³/s = 13,305.22 cm³/s

b) The pressure difference across the pump, ΔP = ρ·g·h

∴ ΔP = 997 kg/m³ × 9.8 m/s² × 30 m = 293.118 kPa

The pressure difference across the pump, ΔP ≈ 293.118 kPa

Answer:

I got iron

Explanation:

on my plato test

Answer:

The solution is presented in explanation

Explanation:

This problem can be solved in following steps:

1) In the first round the peasant will take the goat to the other side.

2) Now, the peasant will come back alone.

3) The peasant will now take the wolf with him to other side.

4) The peasant will return with the goat to riverbank.

5) Now, he will take cabbage to the other side of the river, where the wolf is already present.

6) Peasant will leave cabbage and wolf on other side and come back to riverbank alone. Since, wolf does not eat cabbage.

7) Now, finally the peasant will take goat to the other side of river.

In this way, all three of them shall be transported to the other side of the river without eating each other.

Answer:

I hope this helps

Explanation:

Instrmentation engineering

Answer:

Instrumentation engineering

Explanation:

The number of 1-bit shifters are required to design the mentioned eight shift control inputs is 12.

A barrel shifter is a digital circuit that can shift a data word by a specified number of bits without the use of any sequential logic.

Design a simple FSM to determine the number of 1-bit shifters are required to design the mentioned barrel shifter

x = 0        x = 0      x = 1        x = 1

y = 0        y = 1       y = 0       y = 1

z = 0        z = 1       z = 1        z = 1

number of 1-bit shifters required = 3 x 4 = 12

Thus, the number of 1-bit shifters are required to design the mentioned eight shift control inputs is 12.

Learn more about barrel shifter here: https://brainly.com/question/19053885

#SPJ2

The false interpretation is that Starbucks is more closely related to the increase in house prices than Dunkin Donuts, according to the given linear regression model.

The false interpretation is that Starbucks is more closely related to the increase in house prices than Dunkin Donuts. The given linear regression model suggests that after accounting for household income, population, and neighborhood factors, the increase in house price index associated with one additional Starbucks store is estimated to be 8.77. However, this does not imply that Starbucks has a stronger influence on house prices compared to Dunkin Donuts.

The model does not provide direct information about the relative impact of Starbucks and Dunkin Donuts on house prices. It only indicates the specific effect of one additional Starbucks store. Other factors, such as the number of Dunkin Donuts stores, could also have an influence on house prices, but this information is not explicitly provided in the given interpretation.

Therefore, the statement claiming that Starbucks is more closely related to the increase in house prices than Dunkin Donuts is false based on the given regression model alone.

Learn more about Starbucks

brainly.com/question/30751725

#SPJ11

Answer:

Reverse Engineering

Explanation:

Just took the test

When it comes to saving money, there are several different options available to choose from depending on the amount of risk you are willing to take and the length of time for which you want to save.

Savings accounts, certificates of deposit, money market accounts, and savings bonds are some of the most common tools for saving money.Savings Account: A savings account is the most common tool for saving money. They are insured by the Federal Deposit Insurance Corporation (FDIC) and typically earn interest at a low rate. These accounts are an excellent option for short-term financial goals such as saving for a vacation, a down payment, or a rainy day fund.Certificate of Deposit (CD): Certificate of deposit (CD) is a savings account with a fixed term and interest rate. A CD is typically insured by the FDIC, and the interest rate is usually higher than a savings account.

CDs are an excellent option for medium-term financial goals such as saving for a new car, a home renovation, or education.Money Market Account (MMA): A money market account (MMA) is similar to a savings account, but it typically offers a higher interest rate. However, these accounts have a minimum deposit requirement and may require a higher balance to avoid fees. Money market accounts are a good option for medium-term financial goals such as saving for a down payment on a home or for a child's college education.Savings Bonds: Savings bonds are issued by the U.S. Treasury and are backed by the full faith and credit of the U.S. government.

To know more about balance visit:

https://brainly.com/question/27154367

#SPJ11

Answer: Substitutional Impurity

Explanation:

Substitutional impurity is a defect that occurs when a non-matrix atom replaces a matrix atom as did the zinc atoms in brass did to some copper atoms. These non-matrix atoms will then be called substitutional impurity atoms.

For this to happen, the non-matrix atoms have to be close in size to the matrix atom that they are replacing which in general means within a range of 15%.

Factory overhead allocated per unit for speedboats is $1,125 per unit and that for bass boats is $1,125 per unit.

a. To determine the total number of budgeted direct labor hours for the year: Direct labor hours Speedboat = Direct labor hours Bass boat = Total direct labor hours Speedboat = Number of units × Direct labor hours per unit SpeedboatTotal direct labor hours Speedboat = 400 × 10Total direct labor hours Speedboat = 4,000Direct labor hours Bass boat = Number of units × Direct labor hours per unit Bass boatTotal direct labor hours Bass boat = 400 × 10Total direct labor hours Bass boat = 4,000Total budgeted direct labor hours = Total direct labor hours Speedboat + Total direct labor hours Bass boatTotal budgeted direct labor hours = 4,000 + 4,000Total budgeted direct labor hours = 8,000Answer: Total number of budgeted direct labor hours for the year is 8,000 direct labor hours.b. The single plantwide factory overhead rate is calculated as follows:Single plantwide factory overhead rate = Total factory overhead / Total budgeted direct labor hoursSingle plantwide factory overhead rate = $900,000 / 8,000Single plantwide factory overhead rate = $112.50Answer: The single plantwide factory overhead rate is $112.50 per direct labor hour.c. Factory overhead allocated per unit for each product using the single plantwide factory overhead rateSpeedboatsFactory overhead allocated per unit = Single plantwide factory overhead rate × Direct labor hours per unitSpeedboatsFactory overhead allocated per unit = $112.50 × 10SpeedboatsFactory overhead allocated per unit = $1,125Bass boatsFactory overhead allocated per unit = Single plantwide factory overhead rate × Direct labor hours per unitBass boatsFactory overhead allocated per unit = $112.50 × 10Bass boatsFactory overhead allocated per unit = $1,125.

Learn more about speedboats here :-

https://brainly.com/question/19162862

#SPJ11

Answer:

currently states that a person is qualified to drive a commercial motor vehicle if he/she “can read and speak the English language sufficiently to converse with the general public, to understand highway traffic signs and signals

So I think B

Answer:

a. 89.5 N b. 1.59 N

Explanation:

a. Given that the circular plunger's diameter is 1.5cm, how much force is being exerted to hold the plunger in the compressed state?

Using Boyle's law, we find the final pressure at the compressed state given that the initial pressure is atmospheric pressure

So, P₁V₁ = P₂V₂ where P₁ = initial atmospheric pressure in syringe = 1 atm = 1.013 × 10⁵ N/m²,V₁ = initial volume of syringe = 5 ml, P₂ = final pressure in syringe at compression and V₂ = final volume of syringe = 1 ml

So, making P₂ subject of the formula, we have

P₂ = P₁V₁/V₂

Substituting the values of the variables into the equation, we have

P₂ = P₁V₁/V₂

P₂ = 1.013 × 10⁵ N/m² × 5 ml/1 ml

P₂ = 1.013 × 10⁵ N/m² × 5

P₂ = 5.065 × 10⁵ N/m²

Since pressure, P = F/A where F = force and A = cross-sectional area of syringe = πd²/4 where d = diameter of syringe = 1.5 cm = 1.5 × 10⁻² m.

So, F = PA

F = P₂πd²/4

substituting the values of the variables into the equation, we have

F = P₂πd²/4

F = 5.065 × 10⁵ N/m²π(1.5 × 10⁻² m)²/4

F = 5.065 × 10⁵ N/m²π(2.25 × 10⁻⁴ m²)/4

F = 35.8 × 10/4 N

F = 8.95 × 10

F = 89.5 N

b. Given that the opening of the syringe has a diameter of 2mm, how much force is exerted on the thumb used to trap the air from escaping?

Since the pressure in the syringe after compression is constant, we have

P₂ = F₁/A₁ where F₁ = force exerted on thumb and A₁ = cross-sectional area of  opening of syringe = πd₁²/4 where d = diameter of opening of syringe = 2 mm = 2 × 10⁻³ m.

So, F₁ = P₂A₁

F = P₂πd₁²/4

substituting the values of the variables into the equation, we have

F = P₂πd²/4

F = 5.065 × 10⁵ N/m²π(2 × 10⁻³ m)²/4

F = 5.065 × 10⁵ N/m²π(4 × 10⁻⁶ m²)/4

F = 15.91 × 10⁻¹

F = 1.591 N

F ≅ 1.59 N

A production process is a way to use economic resources, such as labour, expensive machinery, or land, to create goods and services for customers.

Thus, The manufacturing process often deals with how to make things for sale efficiently and productively so that customers may get them quickly without sacrificing the product's quality or production.

Organizations can employ a variety of production techniques depending on their manufacturing goals, production numbers, and technology tools or software systems.

A critical aspect of a manufacturing manager's job is making broad-based production decisions that affect the productivity levels of product creation and sales.

Thus, A production process is a way to use economic resources, such as labour, expensive machinery, or land, to create goods and services for customers.

Learn more about Production process, refer to the link:

https://brainly.com/question/31782432

#SPJ4

The statement "Separating equilibria can be sub-optimal because everyone would be better off if there were no signals but if one agent signals then everyone has to" is a valid reason.

This refers to a situation where individuals would prefer not to send any signals, but due to strategic considerations, if one person starts signaling, others are compelled to do so as well, even though it may not be in their best interest.

The other options listed are not directly related to the sub-optimality of separating equilibria:

b. Signals can be too costly: This refers to the cost associated with sending signals, which may affect the decision-making process, but it doesn't directly address the sub-optimality of separating equilibria.

c. Signals lack credibility: This refers to the issue of whether signals can be trusted or relied upon, but it doesn't directly relate to the sub-optimality of separating equilibria.

d. Humans are inherently conformist: This refers to the tendency of individuals to conform to social network or follow the behavior of others, but it doesn't specifically address the sub-optimality of separating equilibria.

Therefore, the correct answer is option a. everyone would be better off if there were no signals but if one agent signals then everyone has to.

Learn more about signals here: brainly.com/question/32676966

#SPJ11

Correct question is;

An air-conditioning system operates at a total pressure of 1 atm and consists of a heating section and a humidifier that supplies wet steam (saturated water vapor) at 100°C. Air enters the heating section at 10°C and 70 percent relative humidity at a rate of 35 m3/min, and it leaves the humidifying section at 20°C and 60 percent relative humidity. Determine (a) the temperature and relative humidity of air when it leaves the heating section, (b) the rate of heat transfer in the heating section, and (c) the rate at which water is added to the air in the humidifying section.

Answer:

A) Temperature at state 2: T2 = 19.5°C and Relative Humidity at state 2: Φ2 = 37.8%

B) Q' = 420.01 KJ/min

C) m'w = 0.1472 Kg/min

Explanation:

This question depicts a steady state process and as such the mass flow rate of dry air will remain constant during the entire process.

A) Now, from the psychometric chart attached, at temperatures of T1 = 10°C & T3 = 20°C, Relative humidities; Φ2 = 70% & Φ2 = 60% and at pressure of 1 atm, we have;

Enthalpy at state 1;h1 = 23.5 Kj/kg dry air

Absolute humidity at state 1;ω1 = ω2 = 0.0053 kg of water per kg dry air

Enthalpy at state 3;h3 = 42.3 KJ/Kg dry air

Absolute humidity at state 3; ω3 = 0.0087 kg of water per Kg dry air

Specific volume at state 1;υ1 = 0.809 m³/kg

The formula for energy balance for the humidifying is given as;

h3 = h2 + hg(ω3 - ω2)

Where hg is the enthalpy of wet steam.

From second table attached, hg at 100°C is 2675.6 KJ/kg

Thus;

Making h2 the subject, we have;

h2 = h3 + hg(ω2 - ω3)

Plugging in the relevant values we have;

h2 = 42.3 + 2675.6(0.0053 - 0.0087)

h2 = 33.2 KJ/kg

Still using the psychrometric chart attached at ω2 = 0.0053 and h2 = 33.2 KJ/kg, we have;

Temperature at state 2: T2 = 19.5°C and Relative Humidity at state 2: Φ2 = 37.8%

B) to determine the rate of heat transfer, let's first find the mass flow rate first;

m' = V1'/υ1

Thus, m' = 35/0.809

m' = 43.3 kg/min

Thus, rate of heat transfer is given by;

Q' = m'(h2 - h1)

Plugging in the relevant values, gives;

Q' = 43.3(33.2 - 23.5)

Q' = 420.01 KJ/min

C) the rate at which water is added to the air in the humidifying section is given by;

m'w = m'( ω3 - ω2)

m'w = 43.3(0.0087 - 0.0053)

m'w = 0.1472 Kg/min

Answer:

T₂ = 19.5 °C

∅₂ = 37.8%

Q = 420.01 kJ/min

m\(_{w}\) = 0.015 kg/min

Explanation:

Given:

total pressure = p = 1 atm

Temperatures:

T₁ = 10°C

T₃ = 20°C

Relative Humidity:

∅₁ = 70%

∅₃ = 60%

Volume = V₁ = 35 m³/min

Solution:

a) Use psychometric chart to determine the enthalpies by using the given values of temperatures and relative humidity:

h₁ = 23.5 kJ/kg

w₁ = 0.0053

w₁ = w₂

h₃ = 42.3 kJ/kg

w₃ = 0.0087

v₁ = 0.809 m³/kg

When the airs flows through the heating section, the amount of moisture in it remains constant. So

w₁ = w₂

When the airs flows through the humidifying section, the amount of moisture in it increases. So

w₃ > w₂

Compute enthalpy h₂

h₂ = h₃ - ( w₃ - w₂) hs

where hs is the enthalpy of wet steam at 100°C from steam table

hs = 2676 kJ/kg

h₂ = 42.3 - ( 0.0087  - 0.0053 ) 2676

    = 42.3 -  (0.0034) 2676

    = 42.3 - 9.0984

    = 33.2016

h₂ = 33.2 kJ/kg

Compute T₂ and ∅₂

Using h₂ = 33.2 kJ/kg and w₂ = 0.0053 and psychometric chart:

T₂ = 19.5 °C

∅₂ = 37.8%

Compute mass flow rate:

mass flow rate = m = V₁ /v₁

                                = 35/0.809

                                = 43.26 kg/min

     m = 43.3 kg/min

b) Compute heat transfer in the heating section:

Q = m x (h₂  - h₁)

   = 43.3 kg/min ( 33.2 kJ/kg - 23.5 kJ/kg )

   = 43.3  ( 9.7 )

Q = 420.01 kJ/min

c) Compute rate at which water is added to the air in the humidifying section

Let m\(_{w}\) be the mass flow rate equation of water in  humidifying section is:

m\(_{w}\)  = m(w₃ - w₂)

      = 43.3 ( 0.0087  - 0.0053 )

      =  43.3(0.0034)

      = 0.14722

      = 0.147 kg/min

m\(_{w}\) = 0.015 kg/min

The running time of the algorithm is O(N^4), because there are four nested loops, each of which runs for N iterations.

(a) Define the entries of your table in words:

T(i, j, k) is the minimum total cost of a flight schedule that gets you from city i to city j in exactly k days.

(b) State recurrence for entries of table in terms of smaller subproblems:

T(i, j, k) = min { T(i, l, k-1) + c[l][j] } for all l in {1, ..., N}

This means that the minimum total cost of a flight schedule from city i to city j in exactly k days is the minimum of the total cost of a flight schedule from city i to city l in k-1 days plus the cost of a direct flight from city l to city j, for all possible intermediate cities l.

(c) Write pseudocode for your algorithm to solve this problem:

```
// Initialize the table with infinity for all entries
for i in {1, ..., N}:
 for j in {1, ..., N}:
   for k in {1, ..., N}:
     T(i, j, k) = infinity

// Base case: the cost of a direct flight from city i to city j in 1 day is c[i][j]
for i in {1, ..., N}:
 for j in {1, ..., N}:
   T(i, j, 1) = c[i][j]

// Fill in the table using the recurrence
for k in {2, ..., N}:
 for i in {1, ..., N}:
   for j in {1, ..., N}:
     for l in {1, ..., N}:
       T(i, j, k) = min(T(i, j, k), T(i, l, k-1) + c[l][j])

// The answer is the minimum total cost of a flight schedule from city u to city v in at least minDays days
answer = min { T(u, v, k) } for all k in {minDays, ..., N}
```

(d) Analyze the running time of your algorithm:

The running time of the algorithm is O(N^4), because there are four nested loops, each of which runs for N iterations.

Learn more about The running time of the algorithm:

https://brainly.com/question/14553308

#SPJ11

Based on the given statement, the claim made by the author is that the type of sensors shown for a brushless DC motor are Hall effect sensors, proximity sensors, and photoelectric sensors.

The author of the statement is making a claim about the specific type of sensors that are used for a brushless DC motor. According to the author, the sensors used are Hall effect sensors, proximity sensors, and photoelectric sensors.

Hall effect sensors are used to measure the magnetic field of the motor and determine its position and speed. Proximity sensors are used to detect the presence of an object without physical contact and are often used to determine the position of the rotor. Photoelectric sensors use light to detect the position of the rotor and determine its speed.

Therefore, the author's claim is that these three types of sensors are commonly used in brushless DC motors for various purposes, such as position and speed sensing.

Learn more about motor sensors from

https://brainly.com/question/29811280

#SPJ1

According to the given statement, technician A says that an intake manifold vacuum leak may cause a high idle speed. Technician B says that a dirty IAC bypass passage will not cause the idle speed to be below specifications.

We have to determine who is correct.According to the given statement, technician A is correct. An intake manifold vacuum leak will cause high idle speed. The vacuum leak disrupts the airflow signal that the Powertrain

Control Module (PCM) uses to regulate idle speed. Furthermore, vacuum leaks can cause excessive crankcase ventilation, which can cause fuel dilution and other issues. Technician B is incorrect. The IAC bypass passage regulates idle speed by diverting air around the throttle plate.

A dirty or clogged IAC bypass passage may disrupt the airflow that the PCM uses to regulate idle speed, causing it to be outside of specifications. Thus, we can conclude that only technician A is correct.

Learn more about PCM at

https://brainly.com/question/28556945

#SPJ11

The essay that discuss any experiences I have had with food-borne illness is given below.

Food-borne illness affects millions every year, including people I know. My friend got food poisoning from sushi at a local restaurant, causing stomach cramps, vomiting, and diarrhea for two days. He had an unpleasant experience. Another family member got sick from old potato salad at a picnic.

She had fever, cramps, and nausea and took days to recover, showing the importance of food safety. Cook, store, and handle food properly to prevent harmful bacteria growth. Wash hands, surfaces, utensils, keep hot and cold foods separate, and reheat leftovers properly.

So, It is vital to know food illness symptoms and seek medical help if needed, such as nausea, vomiting, diarrhea, fever, and abdominal pain. Stay hydrated, rest and practice food safety and hygiene to prevent illness.

Learn more about  essay  from

https://brainly.com/question/25607827

#SPJ1

The flaps are airplane components that serve a variety of purposes during approach and landing. The flaps are useful for reducing the airplane's stall speed and allowing the airplane to fly at a lower speed during the final stages of an approach. When flaps are extended, they generate a significant amount of lift while also increasing drag.

This allows the airplane to approach and land at a slower speed than it would otherwise be capable of. Additionally, when the flaps are extended, the airplane's wing area increases. This leads to a reduction in wing loading, which is defined as the amount of weight per square foot of wing area. This reduction in wing loading aids in the airplane's maneuverability, allowing for tighter turns and more precise control during landing.Flaps are also useful for increasing the angle of descent during an approach. This is accomplished by adjusting the angle of attack of the wing, which in turn increases the lift generated by the wing. This increase in lift allows the airplane to descend at a steeper angle while maintaining a safe airspeed. This is particularly useful when approaching airports with shorter runways, as it allows the airplane to touch down closer to the beginning of the runway.Finally, flaps help to reduce the ground roll required for takeoff and landing.

By increasing lift and drag, flaps allow an airplane to takeoff and land at a slower speed, which in turn reduces the amount of runway required for these maneuvers. This is particularly useful when operating from airports with shorter runways or when taking off or landing with heavy loads.

In summary, flaps are an essential component of an airplane's approach and landing procedures. They are useful for reducing stall speed, increasing lift, aiding maneuverability, increasing the angle of descent, and reducing ground roll. By allowing an airplane to fly at a lower speed during these critical phases of flight, flaps help to ensure the safe and efficient operation of the airplane.

To know more about airplane components visit:

https://brainly.com/question/14415008

#SPJ11

Answer:

  3

Explanation:

3 broken wires in one strand in one lay are cause for removal from service.

Answer:

In the lab, we installed the Remote Server Administration Tools (RSAT) feature on a remote domain controller.

RSAT is a set of tools that enable administrators to remotely manage Windows Server roles and features from a Windows 10 computer. By installing RSAT on the remote domain controller, we were able to access and manage the Active Directory Domain Services (AD DS) role from our Windows 10 computer without needing to physically be at the server. This allowed us to perform tasks such as creating new user accounts, managing group policies, and monitoring the health of the domain controller from a remote location.

One of the key benefits of using RSAT is that it reduces the amount of time and effort required to manage Windows Server roles and features. Administrators can easily perform routine maintenance and management tasks without having to physically access the server, which can be particularly useful in larger organizations with multiple domain controllers spread across different locations.

Overall, installing the RSAT feature on a remote domain controller enables administrators to more efficiently manage their Windows Server environment from a centralized location, improving productivity and reducing downtime.

Know more about Remote Server Administration Tools here:

https://brainly.com/question/30429788

#SPJ11

Answer:  System Consists Of 1 Kg Of CO2 (Cp = 46.4 J Moll K:') Gas Initially At 1 Bar And 300K. The System Undergo

Explanation:

Based on the Chvorinov's rule, the diference in the solidification times of the two castings is 14.092 times the solidification time of the prism casting.

The Chvorinov's rule is an empirical method to estimate the cooling time of a casting in terms of a reference time. This rule states that cooling time (t) is directly proportional to the square of the volume (V), in cubic meters, divided to the surface area (A), in square meters. Now we proceed to model each casting:

t = C · [0.25π · D² · L/(0.5π · D² + π · D · L)]²

t = C · [0.25 · D · L/(0.5 · D + L)]²    (1)

t' = C · [3 · T² · L/(6 · T · L + 2 · T · L + 6 · T²)]²

t' = C · [3 · T · L/(8 · L + 6 · T)]²     (2)

3 · T² = 0.25π · D²     (3)

Where:

If we know that D = 0.3 m, then the thickness of the prism casting is:

\(T = \sqrt{\frac{\pi}{12} }\cdot D\)

T ≈ 0.153 m

And (1) and (2) simplified into these forms:

t = C · {0.25π · (0.3 m) · (0.5 m)/[0.5 · (0.3 m) + 0.5 m]}²

t = 0.0329 · C     (1b)

t' = C · {3 · (0.153 m) · (0.5 m)/[8 · (0.5 m) + 6 · (0.153 m)]}²

t' = 0.00218 · C     (2b)

Lastly we find the percentual difference in the solidification times of the two castings by using the following expression:

r = (1 - t'/t) × 100 %

r = (1 - 0.00218/0.0329) × 100 %

r = 93.374 %

The cooling time of the prism casting is 6.626 % of the solidification time of the cylindrical casting. The diference in the solidification times of the two castings is 14.092 times the solidification time of the prism casting. \(\blacksquare\)

To learn more on solidification times, we kindly invite to check this verified question: https://brainly.com/question/13536247

Answer:

Hydrostatic force = 41168 N

Explanation:

Complete question

A triangular plate with a base 5 ft and altitude 3 ft is submerged vertically in water  so that the top is 4 ft below the surface. If the base is in the surface of water, find the force against onr side of the plate. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5 lb/ft3.)

Let "x" be the side length submerged in water.

Then

w(x)/base = (4+3-x)/altitude

w(x)/5 = (4+3-x)/3

w(x) = 5* (7-x)/3

Hydrostatic force = 62.5 integration of  x * 4 * (10-x)/3 with limits from 4 to 7

HF = integration of 40x - 4x^2/3

HF = 20x^2 - 4x^3/9 with limit 4 to 7

HF = (20*7^2 - 4*7^(3/9))- (20*4^2 - 4*4^(3/9))

HF = 658.69 N *62.5 = 41168 N