$((($Please provide what formula to use in ALL questions I will give you thumbs up$)))$ The quartz crystal in a digital watch has a frequency of $32\mathrm{.}8$ kHz $.$ What is its period of oscillation?

A$.3\mathrm{.}05{10}^{-5}s$

B$.1\mathrm{.}53{10}^{-5}s$

C$.9\mathrm{.}58{10}^{-5}s$

D$.1\mathrm{.}91{10}^{-4}s$

E$.9\mathrm{.}71{10}^{-6}s$

Ans: A

$44.$ If your heart is beating at $76\mathrm{.}0$ beats per minute, what is the frequency of your heart's oscillations?

A$.4560$ Hz

B$.1450$ Hz

C$.3\mathrm{.}98$ Hz

D$.2\mathrm{.}54$ Hz

E$.1\mathrm{.}27$ Hz

Ans: E

$45.$ A sewing machine needle moves with a frequency of $2\mathrm{.}5$ Hz $.$ Approximately how long does it take it to move from the highest point to the lowest point in its travel?

A$.0\mathrm{.}40$ s

B$.0\mathrm{.}10$ s

C$.0\mathrm{.}20$ s

D$.0\mathrm{.}80$ s

E$.1\mathrm{.}25$ s

Ans: C

$46.$ The position of a mass that is oscillating on a spring is given by $x=(18\mathrm{.}3cm)cos[(2\mathrm{.}35s^{-1})t].$ What is the frequency of this motion?

A$.0\mathrm{.}426$ Hz

B$.1\mathrm{.}34$ Hz

C$.2\mathrm{.}67$ Hz

D$.0\mathrm{.}128$ Hz

E$.0\mathrm{.}374$ Hz

Ans: E

$47.$ The position of a mass that is oscillating on a spring is given by $x=(17\mathrm{.}4cm)cos[(5\mathrm{.}46s^{-1})t].$ What is the period of this motion?

A$.1\mathrm{.}74$ s

B$.1\mathrm{.}15$ s

C$.1\mathrm{.}32$ s