An astronaout is rotating in a rotor of radius 4m. If he can withstand upto acc. Of 10g, then what is the maximum number of permissible revolutions? `(g=10m//s^(2))`

Explanation

In case of uniforin circular motion
`a_r=v^2/r=omega^2r" "` [as `v = r omega` ]
or `a_r = (2piv)^2r " "` [As `omega = 2piv` ]
`upsilon=1/(2pi)sqrt(a_r/r)`
Hence `a_rlt 10 g,` so
`upsilon lt 1/2sqrt((10xx10)/4)` i.e `upsilon_(max)=[5/(2pi)]` rev/sec