Question

A fighter pilot dives his plane toward the ground at 230

m/s.He pulls out of the dive on a vertical circle. What is the
minimunradius of the circle, so that the normal force exerted on
the pilotby his seat never exceeds three times his weight?

Answer 1

To find the minimum radius of the circle, we need to consider the forces acting on the pilot and set the normal force to not exceed three times his weight.

Step-by-step explanation:

In order to determine the minimum radius of the circle, we need to consider the forces acting on the pilot. The normal force exerted by the seat on the pilot should not exceed three times his weight. When the fighter pilot is at the bottom of the vertical circle, the normal force will be at its maximum. Using the equation:

Normal force = (mass × (velocity^2))/radius

We can rearrange the equation to solve for the radius:

Radius = (mass × (velocity^2))/(normal force)

Substituting the given values and solving for the radius will give us the minimum value.