Respuesta :
Answer:[tex]\dfrac{1}{20}[/tex][tex]seconds^{-1}[/tex],20[tex]seconds[/tex],15.7[tex]ms^{-1}[/tex]
Explanation:
Frequency is defined as the number of revolutions made the object in unit time.
Given that it takes [tex]2[/tex] minutes [tex]6[/tex] revolutions.
So,[tex]\frac{6}{2} =3[/tex] revolutions can be completed in [tex]1[/tex] minute.
So,[tex]\frac{3}{60} =\frac{1}{20}[/tex] revolutions can be completed in a second.
So,frequency is [tex]\frac{1}{20}[/tex]
Period of a object is the inverse of frequency.
Inverse of frequency [tex]\frac{1}{\frac{1}{20} }=20[/tex]
So,period is [tex]20seconds[/tex].
Speed of car is the given by the ratio of distance covered in one revolution to the time period.
Distance travelled in one period is [tex]\pi d[/tex] where [tex]d[/tex] is the diameter.
Given that [tex]d=100m[/tex]
So,distance travelled in one revolution [tex]\pi \times 100=315.15m[/tex]
Time period is [tex]20seconds[/tex].
Speed is [tex]\frac{314.15}{20}=15.7ms^{-1}[/tex]
