Classical Mechanics (Kibble & Berkshire) · Problem 4.6

Linear oscillations — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · circular-motion-pilot-blackout

Problem

In an air show, a pilot is to execute a circular loop at the speed of sound (

340\text{ m s}^{-1}

). The pilot may black out if his acceleration exceeds

8g

. Find the radius of the smallest circle he can use. [Take

g = 10\text{ m s}^{-2}