To simulate the acceleration of large rockets, the astronauts are spun at the end of long rotating beam of radius 9.8 m . What will be angular velocity required for generating centripetal acceleration 8 times the acceleration due to gravity?

Explanation

Data : r = 9.8 m , g = 9.8 ` m//s^(2) , a = 8g `
Centripetal acceleration ` = omega^(2)r`
` omega^(2)r = 8g`
` 9.8 omega^(2) = 8(9.8)`
`omega^(2) =8 ` The required angular speed, `omega =sqrt8 =2 , sqrt2= 2.828 rad//s `