A centrifugal governor shown in Fig. has two masses each of weight w connected by a helical spring. The arms carrying the weights are parallel to the axis of rotation at the speed of 900 r.p.m. If the speed is increased by 1%, it requires a force of 3 kgf to maintain the sleeve at the same position. Determine
(i) the weight w of masses;
(ii) the stiffness of spring and its initial extension if the sleeve moves by 1 cm for a change of speed of 250 r.p.m.