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physics

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The amplitude of an oscillator decreases to 69.0% of its initial value in 15.5s.
a) What is the value of the time constant?

  • physics - ,

    If the time constant is T,

    A(t) = A(0) e^(-t/T)

    0.69 = e^(-15.5/T)
    Take natural logs of both sides.

    ln(0.69) = -0.3711 = -15.5/T
    T = 41.8 s

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