Question

To simulate the acceleration of large rockets, astronauts are seated in a chamber and revolved in a circle of radius 9.8 m. What angular speed is required to generate a centripetal acceleration 8 times the acceleration due to gravity? [g = 9.8 m/s² ]

Answer 1

Data : r = 9.8 m, g = 9.8 m/s² , a = 8g 

Centripetal acceleration = ω²r

∴ ω²r = 8g 

∴ 9.8 ω² = 8(9.8) 

∴ ω² = 8 

The required angular speed, ω = \(\sqrt8\) = 2\(\sqrt2\) = 2.828 rad/s