The calculated value is indicated by the shaded heading in the table.
This useful calculator computes the speed-of-advance of a propeller based on:
The potential boat speed is then calculated from the speed-of-advance using SLIP, a percentage of lost speed, and unit conversion to boat speed in statute-miles-per-hour.
The calculator always needs four inputs to calculate the fifth parameter. After input of any four parameters, click on the button for the unspecified parameter you want to be calculated. The calculated boat speed is units of statute-miles-per-hour. If you want to calculate boat speeds in nautical-miles-per-hour or KNOTS, a separate calculator is available.
A value for RPM is typically input as a known parameter. Modern engines now have high-resolution data on engine speed and are very accurate. Older analogue dial-pointer tachometers are notoriously inaccurate. Use the manufacturer's recommended highest permitted engine speed to calculate highest possible boat speed estimates.
A value for RATIO is typically input as a known parameter. The manufacturer's data should be used. If the manufacturer specifies the reduction ratio as a single decimal number between 0 and 0.999, use the reciprocal of that number. For example, 0.542 becomes 1/0.542 or 1.845.
A value for PITCH is typically a known parameter, and should be taken from the propeller markings or the manufacturer part number. Calculating a value for PITCH is useful if the four other parameters are known with certainty.
A value for SLIP is typically a calculated value deduced from known or observed data for the other four parameters. Calculating SLIP gives a metric for how well the propeller is performing. Generally the calculated SLIP will tend to reduce to the range of 5 to 10 only when the propeller is working to push the boat to its highest boat speed range. At lower boat speeds SLIP will often be much higher, in the range of 10 to 30. If SLIP is to be an entered parameter, a reasonable guess at its value is 10.
The underlying basis for all calculations is explanined below.
If a propeller were a helix screw advancing in a solid, then for each revolution it would advance a distance equal to the pitch of the blades, called the speed of advance. The boat speed would then be the speed of advance. However, a propeller operating in water will tend to advance less (for rather complicated reasons that won't be explained here), and the difference between actual advance and theoretical advance is expressed as a percentage factor called SLIP. The calculated boat speed is thus the theoretical speed of advance reduced by the SLIP. The relationship is expressed mathematically:
RPM PITCH SPEED = ----- × ----- × [ 1- (SLIP/100) ] RATIO C
By manipulating the elements using algebra, any of them can be computed if the others are known. Hence:
SPEED × RATIO × C SLIP = 100 × [ 1 - (-------------------) ] RPM × PITCH SPEED × RATIO × C PITCH = ( -------------------------- ) RPM × [ 1 - (SLIP/100) ] RPM × PITCH × [ 1 - (SLIP/100) ] RATIO = ( ---------------------------------- ) SPEED × C SPEED X RATIO × C RPM = ( ---------------------------- ) PITCH × [ 1 - (SLIP/100) ]
The constant C is derived from the analysis of the dimensions involved in the calculations. The propeller advance is generally given in INCHES/REVOLUTION and the speed of the propeller rotation is generally given in REVOLUTIONS/MINUTE. The speed of the boat would then be calculated in units of INCHES/MINUTE, an unusual dimension which needs to be converted into something more commonly used for boat speed.
The most common conversion is to statute MILES/HOUR (MPH), which is derived below:
1 HOUR 12 INCH 5280 FOOT 1056 HOUR INCH ------- × ------- × --------- = -------------- 60 MIN 1 FOOT 1 MILE 1 MIN MILE
Similarly, if the results are desired in NAUTICAL MILES/HOUR (KNOT):
1 HOUR 12 INCH 6076 FOOT 1215.2 HOUR INCH ------- × ------- × ----------- = ----------------- 60 MIN 1 FOOT 1 NAUT-MILE 1 MIN NAUT-MILE
And if results are desired in KILOMETERS/HOUR (KPH):
1 HOUR 12 INCH 3.28 FOOT 1000 M 656 HOUR INCH ------- × ------- × --------- × ------ = -------------- 60 MIN 1 FOOT 1 METER 1 KM 1 MIN KM
This is a HTML document is served to you from continuousWave
Author: James W. Hebert