Help Calculating RPM of a rotatory atomizer thats powered by pneumatic

[bob5bob]

Hello everyone,

I am a recent horticulture graduate and as such, I take a long time figuring out physics problems. I hope I could trouble you guys for a possible solution to my problem. I am making an rotary atomizer that is pneumatically powered and need to find out how fast i can make it spin with a max 100psi airflow. The turbine part is 40mm in diameter and has four half circle blades. It is contained in a shaped case that is two parts which are mirror images of themselves, each side has a vent which is 6mm by 6mm and a entry hole for a 5mm inside diameter pipe. The disc is out side the case and is 80mm in diameter. Basically I am just trying to figure out an equation for this that allow me to take air pressure and calculate RPM of the disc. Any help would be appreciated.

 

[LightHero]

Thank You!</code>The equation you need to solve your problem is the Torque Equation. This equation states that the torque (τ) of a rotating object is equal to the product of the angular velocity (ω) and the moment of inertia (I). In other words, τ = Iω.Therefore, to find the RPM of your rotary atomizer, you will need to know its moment of inertia (I), which is dependent on the shape and mass of the turbine part. Once you have this value, you can then calculate the angular velocity (ω) as follows:ω = τ/IFinally, to get the RPM, simply multiply the angular velocity by 60 seconds per minute:RPM = ω x 60I hope this helps! Good luck.