Vibra: probs c1

Main cap.1

1.1 If the system shown in fig. has m= 0.010kg and s= 36 N/m , calculate (a) the angular frequency, (b) the frequency, and (c) the period.

(a) \begin{equation} F = \sqrt{s \over m} \end{equation}

    \begin{equation}
    f= \sqrt{36 \over 0.010} = 60 {s^{-1}}
\end{equation}

(b) \begin{equation} f = {1 \over 2\pi} \sqrt{s \over m} = 9.5 Hz \end{equation}

(c) \begin{equation} T= { 2\pi} \sqrt{m \over s} = 0.10 s \end{equation} --David Hernandez Leon (discusión) 22:00 4 may 2013 (CDT)

---

1.2

---

1.3

---

1.4

---

1.5

---

1.6

---

1.7

---

1.8 Calculate the maximum acceleration (in units of g) of pickup stylus reproducing a frequency of 16 kHz, with an amplitude of 0.01mm.

Datos:

f =16kHz = 16000Hz.

A = 0.01mm = 0.00001m.

Resultado:

$\omega =2\pi f$

$\omega =2\pi (16000Hz)$

$\omega =32000\pi {\frac {rad}{s}}$

${\color {black}{\color {blue}\omega =100530.9649{\frac {rad}{s}}}}$

$\left\Vert a_{max}\right\Vert =A\omega ^{2}$

$\left\Vert a_{max}\right\Vert =(0.00001m)(100530.9649{\frac {rad}{s}})^{2}$

$\left\Vert a_{max}\right\Vert =101064.749{\frac {m}{s^{2}}}$ --Letti GZ (discusión) 22:17 4 may 2013 (CDT)

---

--mfg-wiki (discusión) 15:07 2 may 2013 (CDT)