The Vacuum's Physicist

In the Eureka Boss handheld vacuum the science of air flow rates that are generated by the rotation of  a fan connected to an electrical motor allow the reduction of atmospheric pressure at the nozzle of the vacuum. This reduction of pressure creates a vacuum and induces a suction like force to capture dirt and dust from the surface you are trying to clean. I made a 2D draft model of the fan with added dimensions:

I was then able to mathematically model the amount of torque that the motor translates through the fan to create the reduction of pressure needed to vacuum up dirt and dust into the vacuum cleaner.