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Problem Set 3 - Engineering Reliability | MEM 361, Assignments of Mechanical Engineering

Drexel UniversityMechanical Engineering

Material Type: Assignment; Class: Engineering Reliability; Subject: Mechanical Engr & Mechanics; University: Drexel University; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 08/18/2009

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koofers-user-lwp-2 🇺🇸

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MEM 361 Engineering Reliability
Problem Set 3
1) A component with time to failure T has constant failure rate
(
)
5-
2.5 10 hourt
λ
−
=× 1
:
a. Determine the probability that the component survives a period of 60 days without
failure.
b. Find the MTTF of the component.
c. Find the probability that the component survives its MTTF.
2) A component with time to failure T has constant failure rate
(
)
6-
2.0 10 hourstt
λ
−
=× 2
:
a. Determine the probability that the component survives 200 hours.
b. Determine the MTTF.
c. Determine the probability that a component which is functioning after 200 hours is still
functioning after 400 hours.

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MEM 361 Engineering Reliability

Problem Set 3

1) A component with time to failure T has constant failure rate λ ( t ) = 2.5 × 10 −^5 hour-^1 :

a. Determine the probability that the component survives a period of 60 days without failure. b. Find the MTTF of the component. c. Find the probability that the component survives its MTTF.

2) A component with time to failure T has constant failure rate λ ( t ) = 2.0 × 10 −^6 t hours-^2 :

a. Determine the probability that the component survives 200 hours. b. Determine the MTTF. c. Determine the probability that a component which is functioning after 200 hours is still functioning after 400 hours.