3. Given a two pan fair balance and 7 identically looking coins, out of which only one coin is lighter. (1) To figure out the odd coin, please draw the decision tree of your algorithm. (5%) (2) For the decision tree in (1), how many minimum number of weighing are required in the worst case? (5%) (3) Find the EPL of the decision tree in (1). (5%) (4) Find the average number of weighing required in the decision tree of (1). (5%)
Answers
The task involves solving the problem of finding the odd coin among 7 identical coins using a two-pan fair balance.
The requested information includes drawing the decision tree for the algorithm, determining the minimum number of weighings required in the worst case, calculating the Expected Path Length (EPL) of the decision tree, and finding the average number of weighings required.
(1) To draw the decision tree, we start by considering the first weighing. We divide the 7 coins into two groups of 3 and 4 coins each, leaving one coin aside. Weigh the two groups against each other. If they balance, the odd coin must be the one left aside.
If they don't balance, we proceed to the second weighing, comparing two coins from the lighter group. Depending on the result, we continue dividing and weighing until we find the odd coin. The decision tree branches out based on the outcomes of each weighing.
(2) In the worst case scenario, we need to find the odd coin among 7 coins. We can determine the minimum number of weighings required by calculating the height of the decision tree. In this case, the worst-case scenario would require a maximum of 3 weighings to find the odd coin.
(3) The Expected Path Length (EPL) of the decision tree can be calculated by summing the products of the path lengths and their corresponding probabilities. The probability of each path is determined by the number of possible outcomes at each weighing. The EPL represents the average number of weighings required to find the odd coin.
(4) To find the average number of weighings required in the decision tree, we divide the sum of all path lengths by the total number of paths. This gives us the average number of weighings needed to find the odd coin, considering all possible scenarios.
By addressing these points, we can illustrate the decision tree, determine the minimum number of weighings required in the worst case, calculate the EPL, and find the average number of weighings needed to find the odd coin among the 7 identical coins.
To learn more about path lengths visit:
brainly.com/question/32699109
#SPJ11
Related Questions
For flow of a liquid metal through a circular tube, the velocity and
temperature profiles are u(r)=2Um[1-(r/ro)2] and T(r) - Ts
= C2 [1 – (r/r0)2],respectively, where C2 is constant. What is the value of the Nusselt
number NuD at this location?
Answers
Answer:
Known: Form of the velocity and temperature profiles at a particular axial location for flow in a circular tube. Find: Nusselt number at the prescribed.
Explanation:
A ___________ is defined as a change in shape of the part between the damaged and undamaged area hat is smooth and continuous. When the part is straightened, it is returned to proper shape and state without any areas of permanent deformation
Answers
A plastic deformation is defined as a change in shape of the part between the damaged and undamaged area that is smooth and continuous. When the part is straightened, it is returned to its proper shape and state without any areas of permanent deformation.
Plastic deformation is considered as a crucial concept in mechanical engineering and materials science because it influences material qualities such as the strength and durability. It is also crucial in manufacturing operations since it influences the quality of the items produced.
Plastic deformation may occur as a result of a number of operations, including bending, stretching, pressing, and forging.
For more such questions on deformation, click on:
https://brainly.com/question/63369
#SPJ11
what is the law of physics
10 points if you tell me the answer and your name
Answers
\(f = force\)
\(m = mass \: of \: an \: object\)
\(a = acceleration\)
Newton's second law is one of the most important in all of physics. For a body whose mass m is constant, it can be written in the form F = ma, where F (force) and a (acceleration) are both vector quantities. If a body has a net force acting on it, it is accelerated in accordance with the equation
which option identifies the AFNR pathway in the following scenarios? Jalal works for a prestigious golf course that hosts an annual PGA Tour event. His employers depend on him to use cutting-edge science and technology to prepare the course and maintain it with the utmost care.
A. Agricultural System
B. Plant System
C. Biotechnology System
D. Natural Resource System
Answers
Answer: C. Biotechnology system
Explanation:
The end of a large tubular workpart is to be faced on a lathe. The part has an outside diameter = 45 in and inside diameter = 25 in. If the facing operation is performed at a rotational speed = 30 rev/min, feed = 0.020 in/rev and depth of cut = 0.150 in, determine (a) the cutting time to complete the facing operation and (b) cutting speeds and (c) metal removal rates at the beginning and end of the cut. except that the machine tool controls operate at a constant cutting speed by continuously adjusting rotational speed for the position of the tool relative to the axis of rotation. The rotational speed at the beginning of the cut = 30 rev/min, and is continuously increased thereafter to maintain a constant cutting speed
Answers
The required cutting time to complete the facing operation, the cutting speeds, and the metal removal rates at the beginning and end of the cut are to be determined.1:We can use the formula for cutting speed (V) to determine the cutting speeds at the beginning and end of the cut. Cutting speed is given by:V = πDNwhere D is the diameter of the work piece and N is the rotational speed.
Using the above formula, the cutting speed at the beginning of the cut is given by:V = πDN= π(45) × 30 = 4230 in/min The cutting speed at the end of the cut is the same as at the beginning of the cut since the machine tool controls operate at a constant cutting speed. Therefore:V = 4230 in/min 2:We can determine the metal removal rate (MRR) using the following formula: MRR = f × d × V where f is the feed, d is the depth of cut, and V is the cutting speed.At the beginning of the cut:MRR = f × d × V= 0.020 × 0.150 × 4230= 12.7 in³/minAt the end of the cut: MRR = f × d × V= 0.020 × 0.150 × 4230= 12.7 in³/minSince the machine tool controls operate at a constant cutting speed, the metal removal rate is constant throughout the cut. Therefore, the metal removal rate is 12.7 in³/min at the beginning and end of the cut.The required cutting time can be determined using the formula for machining time (T):T = L ÷ fNwhere L is the length of the workpiece to be machined.The length of the workpiece to be machined is equal to the difference between the outside and inside diameters of the workpiece. Therefore:L = 45 - 25 = 20 inThe rotational speed at the beginning of the cut is 30 rev/min, and is continuously increased thereafter to maintain a constant cutting speed.
Therefore, the average rotational speed can be taken as 30/2 = 15 rev/min.At the end of the cut, the tool has traveled the full length of the workpiece. Therefore, the feed is equal to the difference between the outside and inside diameters of the workpiece divided by the number of revolutions required to travel the full length of the workpiece. The number of revolutions required to travel the full length of the workpiece is equal to the length of the workpiece divided by the feed. Therefore:f = (45 - 25) ÷ (20 ÷ (15 × 0.020))= 0.0675 in/revUsing the above values, the cutting time can be determined as follows:T = L ÷ fN= 20 ÷ (0.0675 × 15)= 19.6 minTherefore, the cutting time to complete the facing operation is 19.6 min.
To know more about metal removal rates visit:
https://brainly.com/question/23029949
#SPJ11
1 A power transmission includes a belt drive, a chain drive and a gear drive. Which of the following is the best arrangement between a motor and a working machine? (a) belt drive gear drive chain drive (b) chain drive gear drive belt drive (c) belt drive chain drive gear drive (d) chain drive belt drive gear drive
Answers
Answer:d
Explanation:
(d) chain drive belt drive gear drive
The chain drive belt drive gear drive. Thus option D is correct.
Waht is power trasmisson ?The power transmission includes the bulk of the electrical energy form the generating sites such as the power station or the power plant and send to the anelectric substation where the voltage gets transformed and distributed to the insurers on other substations.
They can be mechanical, electrical and hydrologic, etc. The power transmission can move the electricity over larger distances.
Find out more information about the transmission.
brainly.com/question/13142496
does the lexus gs350 have an indicator light that comes on if the alternator is not charging the battery?
Answers
Yes, the Lexus GS350 has an indicator light that comes on if the alternator is not charging the battery.
An alternator is an electromechanical device that converts mechanical energy into electrical energy in the form of an alternating current. It is a generator of electricity that is mounted on the car engine. Its primary function is to produce electrical energy that powers the car's electrical system and charges the battery.
The alternator is essential for charging the battery of a car. The battery does not get charged if the alternator is not working correctly. That's why the light on the dashboard signals the driver that there is something wrong with the alternator charging the battery in the car's electrical system. An alternator is an essential component of a car's electrical system. If the alternator is not functioning properly, the car's battery will not get charged, causing the car to stop.
So, if the Lexus GS350's alternator isn't charging the battery, it will display an indicator light on the dashboard.
Learn more about "alternator " at: https://brainly.com/question/31172124
#SPJ11
An Otto cycle with air as the working fluid has a compression ratio of 8.2. Under cold air standard conditions, what is the thermal efficiency of this cycle?
Answers
Answer:
Under cold air standard conditions, the thermal efficiency of this cycle is 56.9 percent.
Explanation:
From Thermodynamics we remember that thermal efficiency of the ideal Otto cycle (\(\eta_{th}\)), dimensionless, is defined by the following formula:
\(\eta_{th} = 1-\frac{1}{r^{\gamma-1}}\) (Eq. 1)
Where:
\(r\) - Compression ratio, dimensionless.
\(\gamma\) - Specific heat ratio, dimensionless.
Please notice that specific heat ratio under cold air standard conditions is \(\gamma = 1.4\).
If we know that \(r = 8.2\) and \(\gamma = 1.4\), then thermal efficiency of the ideal Otto cycle is:
\(\eta_{th} = 1-\frac{1}{8.2^{1.4-1}}\)
\(\eta_{th} = 0.569\)
Under cold air standard conditions, the thermal efficiency of this cycle is 56.9 percent.
A 1-ft rod with a diameter of 0.5 in. is subjected to a tensile force of 1,300 lb and has an elongation of 0.009 in. The modulus of elasticity of the material is most nearly:
Answers
Answer:
E = 8.83 kips
Explanation:
First, we determine the stress on the rod:
\(\sigma = \frac{F}{A}\\\\\)
where,
σ = stress = ?
F = Force Applied = 1300 lb
A = Cross-sectional Area of rod = 0.5\(\pi \frac{d^2}{4} = \pi \frac{(0.5\ in)^2}{4} = 0.1963\ in^2\)
Therefore,
\(\sigma = \frac{1300\ lb}{0.1963\ in^2} \\\\\sigma = 6.62\ kips\)
Now, we determine the strain:
\(strain = \epsilon = \frac{elongation}{original\ length} \\\\\epsilon = \frac{0.009\ in}{12\ in}\\\\\epsilon = 7.5\ x\ 10^{-4}\)
Now, the modulus of elasticity (E) is given as:
\(E = \frac{\sigma}{\epsilon}\\\\E = \frac{6.62\ kips}{7.5\ x\ 10^{-4}}\)
E = 8.83 kips
Can some help me with this !!! Is 26 points!!
Answers
15,000,000 ohms because M=10^6
Question One a) Given a four-cylinder cycle engine with a 90-mm bore, 100-mm stroke, and a (6 marks) clearance volume of 0.106 L, calculate the total engine displacement, the compression ratio, Is this engine a petrol engine or diesel engine and explain why? i. ii. iii. h) Explain briefly the principle of
Answers
a) The total engine displacement of the four-cylinder cycle engine is calculated by multiplying the bore, stroke, and clearance volume together. In this case, it would be 90 mm x 100 mm x 0.106 L, which equals 9.54 L. The compression ratio is calculated by dividing the clearance volume by the total engine displacement. In this case, it would be 0.106 L/9.54 L, which equals 1.11.
It is not possible to determine whether this engine is a petrol engine or a diesel engine without more information. Petrol and diesel engines differ in the way they ignite the fuel-air mixture, with petrol engines using spark plugs and diesel engines using compression. The compression ratio can be an indicator of whether an engine is a petrol or diesel, as diesel engines typically have higher compression ratios than petrol engines. However, this engine has a compression ratio of 1.11, which does not provide enough information to determine the type of engine.
h) The principle of four-stroke cycle engines is that the piston moves up and down four times in the cylinder during a single cycle. The four strokes are the intake stroke, compression stroke, power stroke, and exhaust stroke. During the intake stroke, the intake valve opens to allow air and fuel to enter the cylinder. During the compression stroke, the intake valve closes and the piston compresses the air-fuel mixture. During the power stroke, the spark plug ignites the air-fuel mixture, causing the piston to move down and generating power. During the exhaust stroke, the exhaust valve opens and the piston pushes the exhaust gases out of the cylinder.
What Modern-Day Railroad Runs From Chicago to Seattle?
Answers
Answer:
The empire builder
Explanation:
How many coordinates are required for a 3-dimensional force?
Answers
Assume the processor comes equipped with a normally closed fault relay contact output designed to open when a processor malfunction is detected. This contact would be:?
hardwired in series with the emergency stop button.
hardwired in parallel with the emergency stop button.
programmed as part of the master control reset instruction.
programmed as part of the zone control last state instruction.
Answers
The contact would be hardwired in series with the emergency stop button.
This configuration ensures that if the fault relay contact opens due to a processor malfunction, the emergency stop button will also open the circuit, halting the operation of the machinery. This provides an additional layer of safety in case the fault relay contact fails to function properly or is bypassed.
Hardwiring the contact in parallel with the emergency stop button could lead to unintended operation of the machinery, as the emergency stop button may not be able to override the malfunctioning processor.
Programming the fault relay contact as part of the master control reset or zone control last state instruction would not provide the necessary fail-safe mechanism for halting machinery in the event of a processor malfunction.
For more questions like Hardwired click the link below:
https://brainly.com/question/30313130
#SPJ11
A steam power plant with inlet steam to the High Pressure (h.p) turbine at 90 bar and 500°C, and condensation at 40°C produces 500 MW. It has one stage of reheat optimally placed which raises the steam temperature back to 500 °C. One closed feedwater heater with drains cascaded back to the condenser receives bled steam at a reheat pressure of 20 bar, and the remaining steam is reheated and then expanded in the Low Pressure (1.p.) turbine. The h.p. and 1.p. turbines have isentropic efficiencies of 92% and 90%, respectively. The isentropic efficiency of the pump is 75%. a) Draw the line diagram of the powerplant b) Draw T-s diagram showing all the processes. c) Using TTD = - 1.6 °C, calculate i) the mass flow rate of steam at turbine inlet in kg/s, ii) the cycle efficiency, and iii) the cycle work ratio.
Answers
a) Line Diagram of the Powerplant:
b) T-s Diagram Showing All Processes:
c) i) c) i) The mass flow rate of steam at turbine inlet can be calculated using the following equation:
m = 115.3 kg/s
ii) Wcycle = h2 - h1 - TTD*(m*(h2 - h3))
η = 42.2%
iii) Wcycle = h2 - h1 - TTD*(m*(h2 - h3))
R = 2.37
What is turbine ?
A turbine is a rotary mechanical device that extracts energy from a fluid flow and converts it into useful work. The most common type of turbine is a steam turbine, which is used to generate electricity in power plants. Other types of turbines include water turbines, wind turbines, and gas turbines. Turbines are used in a wide range of applications, from large industrial plants to small-scale home appliances.
To know more about turbine
https://brainly.com/question/928271
#SPJ1
two technicians are discussing the indirect tire-pressure monitoring system. technician a says that it was used by some vehicle manufacturers. technician b says that it uses the speeds of the rf and lr tires and compares the rotating speeds of the lf and rr tires to detect a low tire. which technician is correct?
Answers
Two technicians are discussing the indirect tire-pressure monitoring system. Technician A says that it was used by some vehicle manufacturers. technician b says that it uses the speeds of the rf and lr tires and compares the rotating speeds of the tires to detect a low tire. It is important to note that BOTH technicians are correct.
What is an indirect tire-pressure monitoring system?The systems that do not include air pressure sensors within the tires are known as indirect tire pressure monitoring systems (TPMS). Instead, they recognize a low tire by evaluating relative wheel revolutions via the ABS wheel speed sensors.
The driver must calibrate the system by hitting a reset button on the dashboard or through the electronic controller, and if this is done when any tire is underinflated, the system will not report appropriately.
Learn more about Tires:
https://brainly.com/question/24332515
#SPJ1
A(n) 78-hp compressor in a facility that operates at full load for 2500 h a year is powered by an electric motor that has an efficiency of 93 percent. If the unit cost of electricity is $0.11/kWh, what is the annual electricity cost of this compressor
Answers
Answer: $17,206.13
Explanation:
Hi, to answer this question we have to apply the next formula:
Annual electricity cost = (P x 0.746 x Ckwh x h) /η
P = compressor power = 78 hp
0.746 kw/hp= constant (conversion to kw)
Ckwh = Cost per kilowatt hour = $0.11/kWh
h = operating hours per year = 2500 h
η = efficiency = 93% = 0.93 (decimal form)
Replacing with the values given :
C = ( 78 hp x 0.746 kw/hp x 0.11 $/kwh x 2500 h ) / 0.93 = $17,206.13
Technician A says that if drum brake shoes become saturated with gear oil or grease, they should be replaced. Technician B says that drum brake shoes can be cleaned and reused if the lining becomes contaminated with gear oil or grease. Who is correct
Answers
Technician A is wrong and Technician B words that drum brake shoes need to be cleaned and reused when lining is stained with gear oil or grease is correct.
Can contaminated brake shoes be reused?In a situation when they are said to be soaked in anything that is bad then one can be said to not reuse them but in other cases, it can be reused.
Note that Technician A is wrong and Technician B words that drum brake shoes need to be cleaned and reused when lining is stained with gear oil or grease is correct.
Learn more about grease From
https://brainly.com/question/1142755
#SPJ4
A___________combines the function of a video camera and a sound recorder.
Answers
Answer:
A video camera with onboard storage(whether is a tape or digital memory) will record sound
REPLY AND WILL MARk BRAINLYEST
Answers
Answer:
Can I be it plzzzzz!?
Explanation:
I need points
If gear X turns clockwise at constant speed of 20 rpm. How does gear y turns?
Answers
Answer:
Gear Y would turn Counter-Clockwise do to the opposite force created from gear X.
Hope this helped! Have a great day!
A boy riding a bicycle can be modeled as a spring-mass-damper system with an equivalent weight, stiffness, and damping constant of 800 N, 50,000 N/m, and 1,000 N-s/m, respectively. The differential setting of the concrete blocks on the road caused the level surface to decrease suddenly, as indicated in Figure shown. If the speed of the bicycie is 5 m/s (18 km/hr), determine the displacement of the boy in the vertical direction Assume that the bicycle is free of vertical vibration before encountering the step change in the vertical displacement. Hint: Assume that the bicycie and the boy fall as a rigid body by 5 cm at point A. Thus the mass will be subjected to an initial downward displacement of 5 cm (t-0 assumed at point A). ed keq cm
Answers
The youngster has moved about 0.065 meters in the vertical direction (6.5 cm).
What was the purpose of the query?The front wheel will drop down as the bicycle hits the abrupt level change, giving the entire system a startling jolt. The initial downward displacement of the mass is 5 cm since it is expected that the bicycle and the youngster will fall as a rigid body at point A by a distance of 5 cm. With the provided parameters of weight, stiffness, damping constant, and beginning velocity, we can calculate the displacement of the boy in the vertical direction as roughly 0.065 m (6.5 cm) using the equation for the displacement of a spring-mass-damper system.
To know more about system consisting of a spring visit:
https://brainly.com/question/29613751
#SPJ1
An engineer who invested very well plans to retire now because she has $2,000,000 in her ORP account. How long will she be able to withdraw $100,000 per year (beginning 1 year from now) if her account earns interest at a rate of 4% per year?
Answers
Answer:
20 years
Explanation:
You do 2,000,000 ÷ 100,000 but you can simplify that to 20 ÷ 1 = 20
During those 20 years, the profits you earn will be 80,000 since when you do 2,000,000 x 0.04 but you can simplify that to 20,000 x 4 getting 80,000 and that quite doesn't reach 100,000 dollars
Limpies are best used for
o creating landscape topiaries.
o removing shrub structural branch defects.
o selectively thin delicate shrubs like roses.
o pruning flowers.
Answers
Limpies are best used for removing shrub structural branch defects.
Limpies are specialized pruning tools commonly used in horticulture and arboriculture. They are specifically designed for the precise and careful removal of shrub structural branch defects. These defects can include broken, dead, diseased, or crossing branches that affect the overall health and aesthetics of the shrub. Limpies are equipped with sharp blades and a scissor-like action, allowing for clean and accurate cuts to be made close to the main stem or branch collar. This helps promote proper healing and reduces the risk of disease or insect infestation. While limpies can be used for general pruning tasks, they excel in addressing structural branch defects and maintaining the overall health and integrity of shrubs.
Learn more about shrub : brainly.com/question/30955618
#SPJ11
How does concurrent engineering speed up product development?
A. The product and process are designed using computer-aided design.
B. The product and process are designed in series.
C. The product and process are designed in separate spaces.
D. The product and process are designed simultaneously.
Answers
Answer:
The product and process are designed simultaneously
Explanation:
PENN
how many types of groove patterns there are in cylinder keys?
Answers
Door lock makers may have up to 20,000 potential cylinder key and door lock pairings, but they may spread the same combinations broadly because to the extremely low possibility of two persons with the same key and door lock combos meeting.
What are Cylinder Keys?Cylinder keys are a type of lock that employs a key to rotate the lock cylinder and unlock the latch or bolt. They are also known as cylinder locks or pin-tumbler locks.
The key includes pins of varying lengths that correspond to the pins in the lock cylinder. When the right key is inserted, the key's pins align with the pins in the cylinder, allowing the cylinder to revolve and freeing the latch or bolt. Cylinder keys are often used on doors, cabinets, and other locks that require a key to be locked. They provide great security and are resistant to manipulation and picking.
Learn more about Cylinder Keys:
https://brainly.com/question/10427899
#SPJ1
Write an
algorithm and draw a flowchart to convert the length in feet to
centimeter
Answers
Answer:
blah blah blah sh ut up read learn
QUESTION:
Which statement is true about portable fire extinguishers?
POSSIBLE ANSWERS:
OAir-pressurized water extinguishers put out electrical fires.
Dry chemical, sodium bicarbonate extinguishers put out most fires.
Dry chemical, mono ammonium phosphate extinguishers put out flammable liquid fires.
OCarbon dioxide extinguishers put out wood fires.
Submit Answer
Skip Question
Review/Edit Your Answer
Answers
Until emergency assistance arrives, portable fire extinguishers can put out or manage a fire.
When should Portable fire extinguishers be used?The use of portable fire extinguishers can put out or contain a fire until emergency assistance is received.
Utilize portable units exclusively for small flames or fires that are still in the early stages because their discharge times are often only a few seconds. Make a plan for a getaway. Avoid breathing in the extinguishing agent and smoke by keeping low to the ground.
Only use a portable fire extinguisher when a fire is small, restricted to a single area, and not made up of extremely flammable materials. If the fire becomes out of control, leave the premises right away and get assistance.
To learn more about fire extinguishers refer to:
https://brainly.com/question/17687941
#SPJ1
On a day in which the local atmospheric pressure is 99.5 kPa, answer each of the following: (a) Calculate the column height of mercury in a mercury barometer in units of meters, feet, and inches. (b) Francis is concerned about mercury poisoning, so he builds a water barometer to replace the mercury barometer. Calculate the column height of water in the water barometer in units of meters, feet, and inches. (c) Explain why a water barometer is not very practical. (d) Ignoring the practicality issue, which of the two (mercury or water) would be more precise
Answers
Answer:
C . . . . . . . . . . . . . . . . . . . . . .
(a) The column height of mercury in a mercury barometer is 7.32 meters, or 24.0 feet, or 95.2 inches.
What is the column height?(b) The column height of water in a water barometer is 995 meters, or 3268 feet, or 33.9 feet.
(c) A water barometer is not very practical because it would need to be very tall to measure atmospheric pressure.
(d) Ignoring the practicality issue, a mercury barometer would be more precise because mercury is denser than water.
Mercury barometer: 7.32 m, 24 ft, 95.2 in
Water barometer: 995 m, 3268 ft, 33.9 ft
Water barometer not practical because it would be too tall
Mercury barometer more precise because mercury is denser
Read more about barometer here:
https://brainly.com/question/11904913
#SPJ2
A circular casting is 0.3 m in diameter and 0.6 m in length. Another casting of the same metal is elliptical in cross section, with a major-to-minor axis ratio of 2.5 and has the same length and cross sectional area as the circular casting. Both pieces are cast under the same conditions. What is the ratio of the solidification times of the two castings
Answers
The ratio of the solidification times of the two castings is approximately 1.9. The solidification time is inversely proportional to the square of the cross-sectional area.
To explain the ratio of the solidification times of the two castings, let's break it down step by step:
1. The solidification time of a casting depends on its volume and the heat transfer rate during solidification.
2. For a given volume, the solidification time is inversely proportional to the cross-sectional area of the casting.
3. The circular casting has a diameter of 0.3 m, so its radius is 0.15 m. Thus, the cross-sectional area of the circular casting can be calculated as A = πr² = π(0.15)² ≈ 0.07 m².
4. The elliptical casting has the same cross-sectional area as the circular casting. Therefore, we need to determine the dimensions of the elliptical casting that satisfy this condition.
5. The major-to-minor axis ratio of the elliptical casting is given as 2.5. Let the minor axis be x, then the major axis would be 2.5x.
6. The cross-sectional area of the elliptical casting can be calculated as A = π(2.5x)(x) = 2.5πx².
7. Setting the cross-sectional areas of the circular and elliptical castings equal to each other, we have 0.07 = 2.5πx².
8. Solving for x, we find x ≈ 0.137 m.
9. Since the length of both castings is given as 0.6 m, we can conclude that the major axis of the elliptical casting is approximately 0.44 m (2.5x + 0.137).
10. Finally, we calculate the ratio of the solidification times by comparing the ratios of their cross-sectional areas. The ratio is given by (0.44/0.3)² ≈ 1.9.
Learn more about solidification here:
https://brainly.com/question/31966477
#SPJ11