Question

Im confused on how to do this

Answer 1

Explanation :

(1) No. of jumping jacks, $n=120$

time, $t=6\ minutes=360\ sec$

So, frequency is $f=\dfrac{n}{t}$

$f=\dfrac{120}{360\ sec}$

$f=0.33 Hz$

(2) The quarter spins 10 times every seconds

So, frequency $f=10\ Hz$

and the period of one cycle is, $t=\dfrac{1}{10\ Hz}$

$t=0.1\ sec$

(3) mass of block, $m=1.3\ Kg$

force constant of spring, $K=250\ N/m$

Time period of oscillations is given by :

$T=2\pi \sqrt{\dfrac{m}{k}}$

$T=2\pi \sqrt{\dfrac{1.3\ Kg}{250\ N/m}}$

So, $T=0.45\ sec$

Frequency, $F=\dfrac{1}{time\ period}$

$F=\dfrac{1}{0.45\ sec}$

$F=2.22\ Hz$