The spectral density of a random signal is given by [S(f)= begin{cases}0.0001 mathrm{~m}^{2} / text { cycle

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The spectral density of a random signal is given by

\[S(f)= \begin{cases}0.0001 \mathrm{~m}^{2} / \text { cycle } / \mathrm{s}, & 10 \mathrm{~Hz} \leq f \leq 1000 \mathrm{~Hz} \\ 0, & \text { elsewhere }\end{cases}\]

Find the standard deviation and the root mean square value of the signal by assuming its mean value to be \(0.05 \mathrm{~m}\).

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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