A turntable rotates steadily at 3331rpm. A small object is placed at a distance of 15cm from the centre on the turntable surface.
(i) Express the angular speed of the turntable in rads−1.
(ii) Express the same angular speed in degrees per second.
(iii) Calculate the linear speed of the object.
(iv) If the rotation speed is instantly doubled to 6632rpm while the object remains at the same radius, determine its new linear speed and state the factor by which the linear speed has changed.