Answer:
(a) [tex]F=968N[/tex]
(b) [tex]Ratio=1.542[/tex]
Explanation:
Given data
Diameter d=16m
Radius r=d/2=16/2=8.0m
Mass m=64kg
Speed v=11m/s
For Part (a)
From Newtons second law we have:
[tex]F=ma\\as\\a=v^{2}/r\\ so\\F=m\frac{v^{2}}{r}\\ F=64kg\frac{(11m/s)^2}{8m}\\ F=968N[/tex]
For Part (b)
The weight is calculated as:
[tex]w=mg\\w=(64kg)(9.81m/s^2)\\w=627.84N[/tex]
Therefore we have the ratio of centripetal force to the weight is given as:
[tex]Ratio=F/w\\Ratio=968N/627.84\\Ratio=1.542[/tex]
