ClueLuma

Dynamic-system speed power calculator

Cubic power scaling assumes a comparable friction-dominated system and similar efficiency.

P2=P1×(n2n1)3P_{2} = P_{1} \times \left(\frac{n_{2}}{n_{1}}\right)^{3}

Calculator

Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.

kW
rpm
rpm
kW

Worked example

Given

  • P1P_{1} = 30 kW
  • n2n_{2} = 1,440 rpm
  • n1n_{1} = 1,800 rpm
P2=30×(14401800)3=15.36P_{2} = 30 \times \left(\frac{1440}{1800}\right)^{3} = 15.36

Symbols and units

SymbolMeaningUnit
P2P_{2}estimated new powerkW
P1P_{1}initial powerkW
n2n_{2}new speedrpm
n1n_{1}initial speedrpm

Related calculators

Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.