A lawn sprinkler with three identical arms is used to water a garden by rotating in a horizontal plane by the impulse caused by water flow. Water enters the sprinkler along the axis of rotation at a rate of 64L/s and leaves the 1.6?cm-diameter nozzles in the tangential direction. The bearing applies a retarding torque of T0=55N?m due to friction at the anticipated operating speeds. For a normal distance of 39cm between the axis of rotation and the center of the nozzles, determine the angular velocity of the sprinkler shaft.
The angular velocity of the sprinkler shaft is [Num]rpm.