flying show exhibition

Question

Luka is practicing vertical circles for a flying show exhibition. What must be the minimum radius of the circle hoop to ensure that his acceleration at the bottom does not exceed 7.22 g? The speed of the plane is 23.3 m/s at the bottom of the circle.

Answer 1

The gees at the bottom will be g + v²/R = a (This is the result of equating the lift force = ma to the centrifugal force + the weight or the lift has to hold the weight + provide the centripetal force. Either way, you get the equation for accelerations by dividing through by the mass - good thing as it is not given). Just solve this for R, with a = 7.22*g