Correct Answer - Option 3 : N
3
Fan laws:
The fans operate under a predictable set of laws concerning speed, power and pressure. A change in speed (RPM) of any fan will predictably change the pressure rise and power necessary to operate it at the new RPM.
Flow: Flow is directly proportional to the speed.
Q ∝ N
Varying the RPM by 10% decreases or increases air delivery by 10%.
Pressure: Pressure is directly proportional to square of the speed.
SP ∝ N2
Reducing the RPM by 10% decreases the static pressure by 19% and an increase in RPM by 10% increases the static pressure by 21%.
Power: Power requirement is directly proportional to cube of the speed.
P ∝ N3
Reducing the RPM by 10% decreases the power requirement by 27% and an increase in RPM by 10% increases the power requirement by 33%.