### MIRCE Science Questions

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### MIRCE Science Questions for 2018

**Question 2018.1:** Are Drones More Dangerous To Aircarft Than Birds?

**Question 2018.2:** The pump type considered pumps 30 litres of water per minute. Assuming that the time to the occurrence of the first negative functionability event of a pump could be represented with an exponential probability distribution, with a mean value of 1000 hours, determine the amount of water pumped during the first 500 hours of continuous operation. In case of the failure of a pump, no additional actions are taken.

**Question 2018.3**: For the pump type considered in the question 2, determine the amount of water pumped during the first: 2000 and 5000 hours of continues operation.

**Question 2018.4 ** The pump type considered pumps 30 litres of water per minute. Assuming that the time to the occurrence of the first negative functionability event of a pump could be represented with a Weibull probability distribution, with a scale parameter of 1107 hours and shape parameter of 3.75, determine the amount of water pumped during the first 500 hours of continuous operation. In case of the failure of a pump, no additional actions are taken. Compare the results with those obtained in the Question 2018.2, as both pumps have Extected Time To First Negative Event of 1000 hours.

**Question 2018.5**: The pump type considered pumps 30 litres of water per minute. Assuming that the time to the occurrence of the first negative functionability event of a pump could be represented with an exponential probability distribution, with a mean value of 1000 hours. The failure of a pump initiates immediate replacement for the pump with an new one. It is expected that the maintenance task taken could be represented with a exponential probability distribution with an expected value of 8 hrs.Determine the amount of water pumped during the first 500 hours of continuous operation and compare the results with the operation of the pump of the same type, considered in the question 2018.2, where the failures of the pump has not been rectified.

**Question 2018.6**:The pump type considered pumps 30 litres of water per minute. Assuming that the time to the occurrence of the first negative functionability event of a pump could be represented with a Weibull probability distribution, with a scale factor of 1107 hours and shape factor of 3.75 (mean time of 1000 hours). The failure of a pump initiates immediate replacement for the pump with an new one. It is expected that the maintenance task taken could be represented with a Weibull with a scale parameter of 9 hours and shape parameter of 2.7. Determine the amount of water pumped during the first 500 hours of continuous operation and compare the results with the operation of the pump of the same type, considered in the question 2018.4, as the expected time to failure and expected time to repair both pumps are identical.

**Question 2018.7: **Question 2018.6 considered the pump that is able to pump 30 litres of water per minute, and it asked to determine the amount of water pumped during the first 500 hours of continuous operation. Mathematically the life of a pump was defined with the following data:

• the time to the occurrence of the first negative functionability event of a pump could be represented with a Weibull probability distribution, with a scale factor of 1107 hours and shape factor of 3.75 (mean time of 1000 hours).

• the failure of a pump initiates immediate replacement for the pump with an new one.

• the maintenance task taken could be represented with a Weibull with a scale parameter of 9 hours and shape parameter of 2.7.

However, MIRCE Science studies the physical motion of functionable systems types, which also includes the rules under which is operates. Hence, the rules that defined the following issues have not been addressed in the Q2018.6:

• Number of spare pumps available

• Working hours of maintenance teams

• Amount of tools and equipment available,

• Capacity of maintenance facilities

• Quantity of technical documentations available at he site

• Many other real in-service issues that impact the amount of work done by the pump during the continuous operation of 500 calendar hours.

Thus, determine the amount of the water pumped, assuming that there is an infinite quantity of all other resources but the maintenance teams, which for the purpose of this exercise work in two shifts (16 hours per day, 7 days per week).

**Question 2018.8 **Question 2018.6 considered the pump that is able to pump 30 litres of water per minute. Mathematically the life of a pump was defined with the following data:

• The time to the occurrence of the first negative functionability event of a pump could be represented with a Weibull probability distribution, with a scale factor of 1107 hours and shape factor of 3.75 (expected time to failure of 1000 hours).

• After the failure a pump is replaced with a new one, of the same type.

• The maintenance task taken could be represented with a Weibull with a scale parameter of 9 hours and shape parameter of 2.7.

Foe each of the three shift patterns given below, determine the amount of the water pumped during one calendar year of continuous operation, assuming that there is an infinite quantity of all other resources with maintenance department working:

• 1 shift (7 hours of work with 1 hour break) per day, 7 days per week

• 2 shifts (7 hours of work with 1 hour break) per day, 7 days per week

• 3 shifts (7 hours of work with 1 hour break) per day, 7 days per week

For the functionable system considered the following rules are applied:

• The equipment went into service at 00:00 (midnight) on the first day of a new year.

• Maintenance team 1 starts their shift at 08:00 each day

• Maintenance team 1 has a 1 hour lunch at 12:00 each day

• Maintenance team 1 finishes at 16:00 (resulting in a 7 hour working day but 8 hours paid)

• Maintenance team 2 starts their shift at 16:00 each day

• Maintenance team 2 has a 1 hour lunch at 20:00 each day

• Maintenance team 2 finishes at 00:00 (resulting in a 7 hour working day but 8 hours paid)

• Maintenance team 3 starts their shift at 24:00 each day

• Maintenance team 3 has a 1 hour lunch at 04:00 each day

• Maintenance team 3 finishes at 08:00 (resulting in a 7 hour working day but 8 hours paid)

• Operations and maintenance work 7 days per week

• Maintenance hand-over is seamless between shifts

• Maintenance activity stops at the end of the calendar year. (regardless of whether repair is complete or not)

• Available calendar hours 8760 hours

For any other information needed, make your own rule and act accordingly.

### Archived MIRCE Science Questions

- What is a functionable system type?
- Why does friction produce a heat?
- What is a Post-Maintenance Flight Test ?
- How to estimate Total Packinging Cost?
- An O-ring is made from an elastomer with equimolar portions of vinylidene fluoride and hexafluoropropylene. Calculate the weight fraction of each polymer.
- Estimate the particle size of a wear fragment produced by the adhesive wear of two 1040 steel surfaces under a load of 50 kg with a sliding distance of 5 mm. (Assume the particle to be a hemisphere of diameter
*d*.) - Electromagnetic radiation with photon energies greater than 15 eV can damage semiconductors that are used in a communications satellite. Could visible light be a source of this damage?
- What are the mechanisms of the Electrical Insulation Failures?
- An extremely dis-organised organization operates n different systems numbered from 1 to n, in n different locations. Once a year these systems must be replaced. A central operator obtains a set of new systems and must transfer them to the appropriate locations. The central operator sends the spare systems in a random manner so that each system may find itself in any location. What is the probability that at least one system will be send to the correct address?
- Consider a fleet containing m identical systems. In each system there are k identical modules. It is known that n units are failed in the fleet. What is the probability that exactly r k units are failed in the first system?

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- What is Solar Storm ?
- What are the effects of thermal shock environments on maintainable systems?
- Does ocean tides generate magnetic fields?
- Does environmental temperature impact reliability of UK's Type 45 Destroyer?
- What is the 2nd Law of Mirce Science ?
- What is the 1st Law of Mirce Science?
- What is fourth Axiom of Mirce Science?
- What is the thirds Axiom of Mirce Science?
- What is the second axiom of Mirce Science?
- What is the first axiom of Mirce Science?
- An automated guided missile hits the target if booster rocket, guidance system and detonator functions properly. The probability of failure of booster rocket, guidance system and detonator is 0.1, 0.3 and 0.2 respectively. Find: 1) Probability of failure of the missile, 2) If the missile fails what is the probability that it failed due to guidance system,
- What are fundamental physical differences between particles and waves?

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- In the jargon of maintenance professionals expression “Easter Egging” is frequently used. What does it mean?
- Assume that it is known that the number of parts produced in a specific factory during a week is a random variable with mean of 50. a) What is the probability that the next week the number of parts produced will exceed 50?
- b) If the variance of weekly production is 25, what is the probability that the next week production will be between 40 and 60?
- What is Economic Redundancy?
- What is the difference between Correlation and Coincidence?
- What is the Nature of Probability Theory?
- What is Aerotoxic Syndrome?
- What is frangibillity?
- What is a Discrete Random variable?
- Is weather and climate the same?
- What is Anti-core Icing ?
- What is Impact of Electromagnetic Phenomena on Aircraft Functionabnility ?

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- What are the main advantages of building a model of a system, process or activity under consideration?
- A European producer is to export a packaging machine to a customer in Brazil. The machine is packaged in wooden box of the following internal dimensions: length=7.00 m, width=2.75 m and height=3.00 m.Calculate a required number of desiccant units that should be used in order to for the machine to arrive to Brazil in the functionable state.
- The majority of plastic component failures occur in the mid to long term. Even, in normally tough, ductile plastic materials failures are invariable brittle in nature and result in a short service life. What are the most common causes of such brittle failures?
- What are mechanisms for formation of plastics?
- What are Non Destructive Methods for Corrosion Monitoring?
- What is corrosion?
- What are the processes of heat transfer?
- What is Infrared Thermography?
- What are the main differences between inspection and examination as condition monitoring activities?
- For a continuously operating machine, does the increase in the number of spare engines: 1) Increases the number of failures of the gearbox? 2)
- 2) Has no impact on the number of failures of the gearbox? 3) Decreases the number of failures of the gearbox?
- What are the differences between linear and dynamic programming?
- Under what conditions are the two random variables X and Y independent?

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- Functionality and Functionability of machines are: a) The same properties, just different names? b) Not the same, but very similar properties? c) Fundamentally different properties?
- As in all chemical reactions, corrosion reactions occur through an exchange of electrons. In electrochemical reactions, the electrons are produced by a chemical reaction in one area, the anode, travel through a metallic path and are consumed through a different chemical reaction in another area, the cathode. In some cases, such as the common dry cell battery, electrochemical reactions can be used to supply useful amounts of electrical current.
- What is the generic chemical formula for the corrosion of metals?
- Which of the following failure mechanisms the most frequently causes failure of polymers? Biodegradation, Chemical Attack, Diffusion, permeation and migration, Environmental Stress Cracking, Hydrolysis, Physical Ageing, Radiation (ultraviolet radiation most common), Shear damage, Thermo-oxidative degradation
- For continuously operating machine, exposed to corrective maintenance policy, the increase in spare parts will: 1. Increase the Number of Failures, 2. Decrease the Number of Failure, 3. Not affect the Number of Failures.
- Is the law of conservation of energy true for phenomena related to: 1. Living world? 2. Non-living world? 3. Both worlds?
- Are expressions “complicated system” and “complex system” a) Two ways to describe the same entity? b) Two different entities? c) Irrelevant question?
- Bahrain Grand Prix is scheduled for 19-21 April 2013. Due to its closeness to the desert Sakhir, Bahrain International Circuit, during last few years recorded only 5 rainy days per year. However, current weather forecast predicts the rain on the racing Sunday. When it actually rains, the weather forecast is accurate 90% of the time. When it doesn't rain, the incorrect forecasts for rain are 10% of the time. What is the probability that it will rain on the 2013 Grand Prix day?
- Among some reliability experts the following statement is commonly accepted “To double reliability you just need to double the Mean Time To Failure.” Is this statement: a) Correct? b) Incorrect? c) Meaningless?

### A company has decided to develop a new control processor for a North Sea installation of a wind turbine. The processor will be based on equipment the company already has field reliability data for. It is envisaged that it will consist of the following three elements:

1. Fan, vaneaxial, whose Time to First Failure is defined by W(5000,5)

2. Data processor, whose Time to First Failure is defined by W(10000,1)

3. Mounting tray, whose Time to First Failure is defined by W(10000,7)

The three components are connected in series, from reliability point of view, and no maintenance activities are planned till the first failure of the control processor takes place.

The Solution Requirements

a) What is the Reliability Function of the Control Processor?

b) What is the Mean Time to First Failure of the Control Processor?

c) What is the probability of fault free operation for the first 6 months of continuous operation?

d) Given the difficulty in maintaining off-shore wind turbines, how much of an improvement in the intrinsic Mean Time to First Failure could be expected if another data Processor is added in a parallel configuration?

### When asked to define the length of time a customer is going to wait for spare parts for a new type of equipment, the logistics support manager (who has spent seventeen years supporting similar equipment, made the following judgement:

- 33 percent will get it within: 70 hours
- additional 44 percent will get it by 240 hours
- additional 13 percent will get it by 480 hours
- additional 5 percent will get it by 720 hours

a) Making use of the above data, determine the probability that a potential customer will receive the necessary parts within 3 hours of placing an order.

b) Also determine the proportion of customers whose demand for needed spares will be met within two weeks from the placing the order.

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