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The water accelerates as it moves through the pipe towards the nozzle, newton's 2nd law F=ma means that this water produces a force, newton's 3rd law then states every force produces an equal and opposite force.

As this water produces a force, an equal and opposite force is produced. A force acts on the sprinkler opposite to the flow of motion of the water.

This causes a torque, T=FR on the sprinkler causing it to spin. Where F is the force produced and R is the distance of the sprinkler arm.

The sprinkler does not require electricity to move

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