# Mean time between failures calculate

Discussion in 'Homework Help' started by xxxyyyba, Sep 16, 2014.

1. ### xxxyyyba Thread Starter Member

Aug 7, 2012
265
5
Some device has 1000 components and failure of any component means failure of whole device. Calculate MTBF of whole device, if MTBF of individual component is 100 years.
Any idea how to do this?

2. ### mjakov New Member

Feb 13, 2014
20
5
Hi!
The failure rate of a component is:
mu = 1 / (100 * 365 * 24 * 60 * 60 sec) = 317 * 10^(-12) / sec
The device failure rate is 1000 times higher:
mu_d = 317 * 10^(-9) / sec
The mean time before failure of device is:
T_mtbf = 1 / mu_d = 36.5 days

$\mu$
Unfortunately the latex code does not seem to work in the reply. I would be happy to make the formatting nicer if someone knows a workaround.

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