Answer:
208 N
Explanation:
The net force on the woman is equal to the centripetal force, which is given by
[tex]F=m\frac{v^2}{r}[/tex]
where
m is the mass of the woman
v is her speed
r is the radius of the wheel
here we have:
r = d/2 = 5 m is the radius of the wheel
[tex]m=\frac{W}{g}=\frac{670 N}{9.8 m/s^2}=68.4 kg[/tex] is the mass of the woman (equal to her weight divided by the acceleration of gravity)
The wheel makes one revolution in t=8.0 s, so the speed is:
[tex]v=\frac{2\pi r}{t}=\frac{2\pi (5.0 m)}{8.0 s}=3.9 m/s[/tex]
so now we can find the centripetal force:
[tex]F=(68.4 kg)\frac{(3.9 m/s)^2}{5.0 m}=208 N[/tex]
