Question #1 Create a System function list, and a list of requirements for the following automatic filling system. (the material being added to the tank is a methyl alcohol solution) Consider the tank, controller, sensor, valve and pump. (25 pts.)
Question #2 Complete a fault tree analysis for our tank system with the fault being methyl alcohol solution not being contained. (25 pts.)
Question #3 Complete an overall System FMEA (30 pts.)
Question #4. (10 pts.)
Given the following data, calculate the probability for
a. A man living to be 50 years of age? b. A man living 15 years after his 60th birthday?
t (in years) number 0 1 5 10 20 30 40 50 60 70 75 80 85 90 95 99 1,023,102 1,000,000 983,817 971,804 951,483 924,609 883,342 810,900 677,771 454,548 315,982 181,765 78,221 21,577 3,011 125
Question #5 (10 pts.)
A space power reactor system consisting of a reactor, radiation shield, converter, radiator, and controls, is assumed to be functionally arranged in series, as any subsystem failure will result in overall system failure.
Failure rates are estimated as follows:
| Subsystem | Rate f/hr |
| Reactor | 5 x 10-7 |
| Shield | 1 x 10-8 |
| Converter | 2 x 10-7 |
| Radiator | 2 x 10-7 |
| Controls | 3 x 10-7 |
Find the system reliability for a seven year mission.
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Extra Credit Question # 1. (10 pts.)
A device has a constant failure rate of 0.7 failures/year. What is the probability that the device will fail during the second year of operation?
Extra Credit Question #2. (10 pts.)
A National Guard unit is supplied with 20,000 rounds of ammunition that is 5 years old. The commander wants to check the quality of the rounds. He samples 200 rounds and test fires the ammunition. Twelve of the rounds misfire. Assuming that the misfires are random failures of the ammunition caused by previous storage conditions, estimate the MTTF in years. (Assume the exponential distribution).
Extra Credit Question #3. (10 pts.)
Assume that component reliability is .5 and we want system reliability of >.99. What is the minimum number of parallel components needed.