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 uniform circu lar motion
`a_(r)=(v^(2)//r)=romega^(2) ["as" v=romega]`
or `a_(r)=(2pif)^(2)r ["as" omega=2pif]`
or `f=(1)/(2pi)sqrt(((a_(r))/(r)))`
Here, `a_(r)lt10g,` so
`flt(1)/(2pi)sqrt(((10xx10))/(4))`, i.e., `f_("max")=[(5)/(2pi)]("rev")/("sec")`