The arms of a lawn sprinkler are 8 in. long and $3 / 8$ in. ID. Nozzles at the end of each arm direct the water in a direction that is $45^{\circ}$ from the arms. If the total flow rate is $10 \mathrm{gpm}$, determine:

(a) The moment developed by the sprinkler if it is held stationary and not allowed to rotate.

(b) The angular velocity (in rpm) of the sprinkler if there is no friction in the bearings.

(c) The trajectory of the water from the end of the rotating sprinkler (i.e., the radial and angular velocity components).