A pilot can withstand an acceleration of up to 9g, which is about 88 m/s^2, befo

Question

A pilot can withstand an acceleration of up to 9g, which is about 88 m/s^2, before blacking out. (a) What is the acceleration experienced by a pilot flying in a circle of constant radius at a constant speed of 525 m/s if the radius of the circle is 3760 m? (b) Does the pilot make the turn without blacking out? first thing to notice is that the problem involves uniform circular motion. Therefore, you may begin with the definition of centripetal acceleration. From there, calculate the acceleration and compare it with the maximum allowable acceleration.

Explanation / Answer

Here,

a) radius , r = 3760 m

speed , v = 525 m/s

acceleration experienced = v^2/r

acceleration experienced = 525^2/3760

acceleration experienced = 73.3 m/s^2

b)

as the acceleration experienced is less than 88 m/s^2

the pilot will not Black out

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