If i reduced considerably the size of the hose of a vacuum cleaner say by 4, is the suction power goin to increase by 4? Since pressure is equal to force/area. im trying to make my vacuum cleaner ultra powerful. thank you.
In a machine with perfect efficiency (which doesn't exist), your math may add up, but in this case the motor only has a limited amount of power. Decreasing the nozzle size would introduce more drag on the motor, which as said before, could burn it out.
No it will not increase. The velocity at the nozzle will increase but lifting power will not, it will pick up small objects better but not larger ones. The danger is that most vacuum cleaners rely on the flow of air through the motor to cool it, when you reduce this by restricting the nozzle you may overheat and burn out the motor !
