Answer:
[tex]v=54.00m/s[/tex]
Explanation:
7.0g is [tex]7\times[/tex] the acceleration due to gravity.
Given that [tex]g=7\times9.8m/s^2[/tex], acceleration can be calculated as:
[tex]a=7\times9.8m/s^2\\a=68.6m/s^2[/tex]
Since circular motion is involved and our radius of curvature is given as,[tex]r=\frac{85}{2}m[/tex], centripetal acceleration is given by the formula:[tex]a=v^2/r[/tex].
Make [tex]v^2[/tex] subject of the formula to find [tex]v[/tex]:
[tex]a=v^2/r\\v^2=ar=68.6\times(85/2)\\v^2=2915.5\\v=\sqrt{2915.5}\\v=54.00m/s[/tex]
The maximum speed of the pilot is [tex]54m/s[/tex]
