# Centripital Acceleration/G-Force question

## Homework Statement

A plane is in a dive. At the bottom of the dive is the maximum acceleration on the pilot. This part of the dive can be approximated by a circular path. If the centripetal acceleration on the pilot is 7.50 times g (=9.81 m/s2), what is the force felt by the pilot if her mass is 49.0 kg.

## Homework Equations

Is it this simple?

F=ma

## The Attempt at a Solution

F = (49kg)*(7.5*9.8m/s^2) = 3601.5N

According to the online answer checker, it's not correct. I guess I'm missing something. Any ideas?

rl.bhat
Homework Helper
Inside the plane the pilot will experience centrifugal acceleration which is opposite to the centripetal acceleration. So the total acceleration on the pilot will be 7.5g + g.

Of course! Now I feel kinda stupid. At one point in my thinking, I remember contemplating that, but for some reason it got lost. Oh well; you win some, you lose some.

Inside the plane the pilot will experience centrifugal acceleration which is opposite to the centripetal acceleration. So the total acceleration on the pilot will be 7.5g + g.

BS (Although as Einstein noted, the acceleration of a free object
relative to the cockpit would indeed be 8.5g)

Amelia Ehrhart's acceleration is 7.5g upwards.
Gravity exerts a force mg downwards.
Applying Newton's second Law, the force exerted on
her backside is mg + 7.5mg straight up.

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