This paper is concerned with the inverse problem of the determination of the right-hand side of a generalized transport equation from boundary measurements. The problem is originally related to an integral geometry problem along a family of curves whose curvature is given by the Christoffel symbols. The existence, uniqueness and stability of the solution of the problem are proven in polar coordinates. Some computational experiments for the approximate solution of the problem are presented by using the Galerkin method and the finite difference method.