The sprinkler is made to rotate at the constant angular velocity and distributes water at the

The sprinkler is made to rotate at the constant angular velocity ω and distributes water at the volume rate Q. Each of the four nozzles has an exit area A. Water is ejected from each nozzle at an angle Φ that is measured in the horizontal plane as shown. Write an expression for the torque M on the shaft of the sprinkler necessary to maintain the given motion. For a given pressure and thus flow rate Q, at what speed ω₀ will the sprinkler operate with no applied torque? Let ρ be the density of water.

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9. M