Answer:
[tex]F_{cp}=3947.84N[/tex]
Explanation:
From the formula for centripetal force and acceleration we can deduce that:
[tex]F_{cp}=ma_{cp}=m\frac{v^2}{r}=m\frac{(r\omega)^2}{r}=mr\omega^2=mr\omega^2[/tex]
Since one revolution is [tex]2\pi\ rad[/tex], 0.5 revolutions are [tex]\pi\ rad[/tex], so we have:
[tex]F_{cp}=(4kg)(100m)(\pi\ rad/s)^2=3947.84N[/tex]
