At what rate must a cylindrical spaceship rotate if occupants are to experience simulated gravity of 0.58 g

w = 1,066 rad / s

Explanation:

For this exercise we use Newton's second law

         F = m a

the centripetal acceleration is

         a = w² r

indicate that the force is the mass of the body times the acceleration

        F = m 0.58g = m 0.58 9.8

        F = 5.684 m

we substitute

       5.684 m = m w² r

       w =

To finish the calculation we must suppose a cylinder radius, suppose it has r = 5 m

       w =

       w = 1,066 rad / s