Please answer the following question:

Q4. A conical pendulum consists of a small sphere of mass 3 kg attached to the end ofa light, inextensible string of length 0.6 metres. The sphere moves in a horizontal circle at a constant speed. (a) The string is inclined at an angle of 30 to the vertical, as shown in the diagram. Figure 1 (i) Find the tension in the string. (3) (ii) Show that the angular speed of the sphere is 4.34 radians per second. (4) (b) The angular speed of the particle is now doubled. Find the new angle between the string and the vertical, giving your answer to the nearest degree. (6) (Total 13 marks}