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Romeomikehotel 02-15-2019 12:42 PM

Horsepower/ Speed Formula
 
Hey Guys,

I recently came across a formula for calculating top speed/ hp and it’s been pretty accurate from running the numbers on some of my friends boats. I don’t think it’s perfect but so far is seems to get close.

Here it is:

Horsepower/Weight of Boat = X

Square Root of X = Y

Y x 250 = Hypothetical MPH.

Hypothetical MPH x 90% = True MPH (accounts for prop slip).

I’m curious to see if this holds up, especially considering the many variations in Hull Design. Post your numbers from the formula vs what your boat will actually do if you’d like.

ph1971 02-15-2019 02:16 PM

Works for my straight V bottom within a mile per hour.

Mbam 02-15-2019 03:23 PM

Take a look here

Speed Calculator

The prop slip is actually not relevant in this case. The key is having the correct constant for the boat. If you know the existing speed, weight and power you can calculate the constant. Once you have that this calculator is surprisingly accurate.

Romeomikehotel 02-15-2019 05:54 PM


Originally Posted by Mbam (Post 4672861)
Take a look here

Speed Calculator

The prop slip is actually not relevant in this case. The key is having the correct constant for the boat. If you know the existing speed, weight and power you can calculate the constant. Once you have that this calculator is surprisingly accurate.


Very good, though prop slip is still relevant. This table gives us a Constant to use based on Hull Type as well as provides more accurate prop slip numbers.

So instead of generic Yx250, we can get more specific with this table and choose the proper constant for out equation as well as adjust the prop slip portion of the formula.
https://cimg7.ibsrv.net/gimg/www.off...ad6fc5e13.jpeg

242LS 02-15-2019 06:07 PM

Nfw
 
doesn’t work for me.

Interested in my next config, testing the formula with a previous known config:

9600 lb boat (not factoring in fuel or passengers)
1200 hp
top speed actual was 68.9 mph

using the formula...

Horsepower/Weight of Boat = 0.125

Square Root of 0.125 = 0.35355

0.35355 x 250 = Hypothetical MPH of 88.38

= 22% error







Romeomikehotel 02-15-2019 06:14 PM


Originally Posted by 242LS (Post 4672884)
doesn’t work for me.

Interested in my next config, testing the formula with a previous known config:

9600 lb boat (not factoring in fuel or passengers)
1200 hp
top speed actual was 68.9 mph

using the formula...

Horsepower/Weight of Boat = 0.125

Square Root of 0.125 = 0.35355

0.35355 x 250 = Hypothetical MPH of 88.38

= 22% error


Thats how I I initially ran the formula as well.
Take a look at the little paragraph on the Black Table above, it states that you need to use full loaded weight in the calculation. Also, you forgot to multiply by .9 to account for prop slip. I wonder if that would get you closer.

If I take your info, add 1k lbs for passenger and fuel, subtract 10% from your hp to account for drivetrain losses and then remove the 9% for prop slip, we end up at 73mph.

Still not perfect, but much closer to reality.

Mbam 02-15-2019 06:16 PM


Originally Posted by 242LS (Post 4672884)
doesn’t work for me.

Interested in my next config, testing the formula with a previous known config:

9600 lb boat (not factoring in fuel or passengers)
1200 hp
top speed actual was 68.9 mph

using the formula...

Horsepower/Weight of Boat = 0.125

Square Root of 0.125 = 0.35355

0.35355 x 250 = Hypothetical MPH of 88.38

= 22% error

I hate to say this but it sounds like there is something wrong with either the data or your setup. That boat should be much faster than that with 1200 hp.

Mbam 02-15-2019 06:23 PM


Originally Posted by Romeomikehotel (Post 4672887)

Thats how I I totally ran the formula as well.
Take a look at the little paragraph on the Black Table above, it states that you need to use full loaded weight in the calculation. Also, you forgot to multiply by .9 to account for prop slip. I wonder if that would get you closer.

Prop slip is not part of the calculation. It is in the table to give you an idea of what to expect once you have your setup right.
The variable is just that. It changes according to hull characteristics and setup. If you change to labbed props and gain 3 mph your variable will be different.
The best way to use this is to establish the variable for your individual setup. Then you can see what a change to weight or power will accomplish.


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