Question

The maximum acceleration a pilot can stand without blacking out is about 7.0 g. In an endurance test for a jet plane's pilot, what is the maximum speed she can tolerate if she is spun in a horizontal circle of diameter 85 m?

Answer 1

Answer:

$v=54.00m/s$

Explanation:

7.0g is $7\times$ the acceleration due to gravity.

Given that $g=7\times9.8m/s^2$, acceleration can be calculated as:

$a=7\times9.8m/s^2\\a=68.6m/s^2$

Since circular motion is involved and our radius of curvature is given as,$r=\frac{85}{2}m$, centripetal acceleration is given by the formula:$a=v^2/r$.

Make $v^2$ subject of the formula to find $v$:

$a=v^2/r\\v^2=ar=68.6\times(85/2)\\v^2=2915.5\\v=\sqrt{2915.5}\\v=54.00m/s$

The maximum speed of the pilot is $54m/s$