# PropellerEfficiency

## Why we need big propellers at slow speeds

The push you get from a propeller is proportional to the change in momentum the propeller gives some water which is: mass * deltaV

for the mass of water pushed out the back at some velocity. The energy put into that water by the propeller is: 1/2 mass * deltaV^2

If a boat is going fast a propeller passes through lots of water and so can push a little bit on many different cubic feet of water and so only change the velocity of any given bit of water by a small amount.

A propeller that is very efficient at 15 MPH is very inefficient at 2 MPH. At slow speeds it goes through less water and gives it a much higher deltaV.

An efficient propeller for a slow seastead that will be large so that it can give a small deltaV to a lot of water. Using a small fast propeller on a big slow seastead would take far more energy for the same push.