There is a photograph of a girl pushing on a large stone sphere. The sphere has a mass of \(8200 \mathrm{~kg}\) and a radius of \(90 \mathrm{~cm}\). Suppose that she pushes on the sphere tangent to its surface with a steady force of \(50 \mathrm{~N}\) and that the pressured water provides a frictionless support. How long will it take her to rotate the sphere one time, starting from rest?