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=(n)/(t)`

`f=(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=(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{(m)/(k)}`

`T=2\pi \sqrt{(1.3\ Kg)/(250\ N/m)}`

So,
`T=0.45\ sec`

Frequency,
`F=(1)/(time\ period)`

`F=(1)/(0.45\ sec)`

`F=2.22\ Hz`