Question

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

Answer 1

w = 1,066 rad / s

Step-by-step 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 =
`√(5.684/r)`

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

w =
`√( 5.684/5)`

w = 1,066 rad / s