An airplane pilot is going to demonstrate flying in a tightvertical circle. To e
ID: 1727185 • Letter: A
Question
An airplane pilot is going to demonstrate flying in a tightvertical circle. To ensure that she doesn't black out at thebottom of the circle, the acceleration must not exceed 4.0g. If the speed of the plane is 5.0 m/s at the bottom of the circle,what is the minimum radius of the circle so that the 4.0 g limit isnot exceeded? An airplane pilot is going to demonstrate flying in a tightvertical circle. To ensure that she doesn't black out at thebottom of the circle, the acceleration must not exceed 4.0g. If the speed of the plane is 5.0 m/s at the bottom of the circle,what is the minimum radius of the circle so that the 4.0 g limit isnot exceeded?Explanation / Answer
A circular path means a constant magnitude of acceleration towardsthe center of the circle. And, the equation for this radialacceleration is: arad = v2/r Therefore, r = v2 / arad Substituting the given velocity and the given maximumacceleration, r = (5.0 m/s)2 / (4.0g) g = 9.8m/s2 = 0.64m The pilot's circular path should not be lower than 0.64m so thatshe would not black out.