Respuesta :
Answer:
The radius allowable for the vertical circle is 1706 meters.
Explanation:
Given that,
Speed of the airplane, v = 320 m/s
We need to find the smallest radius allowable for the vertical circle if the pilot's apparent weight is not to exceed 7.0 times his true weight . At the bottom of circle, net force is given by :
[tex]F_N=F_c+F_g\\\\F_N=m(\dfrac{v^2}{r}+g)\\\\7gm=m(9.8+\dfrac{(320)^2}{r})[/tex]
r is radius of path
[tex]7\times 10=(10+\dfrac{(320)^2}{r})\\\\r=1706\ m[/tex]
So, the radius allowable for the vertical circle is 1706 meters.
