Alarge lawn sprinkler with four identical arms is to be converted into a turbine to generate electric power by attaching a generator to its rotating head. water enters the sprinkler from the base along the axis ofrotation at a rate of 15 kg/s and leaves the nozzles in the tangential direction at a velocity of 50 m/s relative to the rotating nozzle. the sprinkler rotates at a rate of 400 rpm in a horizontal plane. the normal distance between the axis of rotation and the center of each nozzle is 30 cm. estimate the electric power produced.

28.22 kW

Explanation:

Angular velocity of nozzles

where is angular velocity, n is rotations per second

= 41.8879 rad/s

Tangential velocity of nozzle

=0.3m* 41.8879 rad/s =12.56637 m/s

Where r is normal distance between the axis of rotation and the centre of each nozzle, =50-12.56637=37.43363 m/s

Where is average absolute velocity, [/ex]V_{jet, r}[/tex] is velocity relative to the rotating nozzle

Angular momentum equation is expressed as

}

=4*0.3*15*37.43363=673.8053 Nm

Energy generated, Q

=28.22429kW

Therefore, electric power produced is 28.22kW

 They're compact and can easily be used for both FWD and RWD vehicles. Allows for greater displacement than inline cylinder engines, typically meaning more power.