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Planing Hull Hydrodynamic Lift & Dynamic Trim (Savitsky Method) Calculator

Easily calculate and compute planing hull hydrodynamic lift & dynamic trim (savitsky method) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
1.84 degrees

Dynamic Equilibrium Trim Angle (τ)

Dynamic Equilibrium Trim Angle (τ)

1.84 degrees

Speed Coefficient Cv

3.39

Total Hydrodynamic Drag Kn

2.19

Lift To Drag Ratio

20.12

Planing Regime

FULL PLANING REGIME (Hydrodynamic Lift Dominant)

1.84 — degrees

Calculation Breakdown

  1. Applied FormulaImplements Daniel Savitskys classic empirical hydrodynamic equations for prismatic planing hulls, evaluating dynamic trim angle τ, wetted keel length λ, and hydrodynamic drag.C_{L0} = \tau^{1.1} \left( 0.012 \lambda^{1/2} + 0.0055 \frac{\lambda^{5/2}}{C_v^2} \right), \quad C_{L\beta} = C_{L0} - 0.0065 \beta C_{L0}^{0.60}

Savitsky Planing Lift & Trim Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.50.91.41.8Dynamic Equilibrium Trim Angle (τ)

What Is the Planing Hull Hydrodynamic Lift & Dynamic Trim (Savitsky Method) Calculator?

This tool computes planing hull hydrodynamic lift & dynamic trim (savitsky method) calculator with high precision arithmetic.

How Does the Planing Hull Hydrodynamic Lift & Dynamic Trim (Savitsky Method) Calculator Work?

Implements Daniel Savitskys classic empirical hydrodynamic equations for prismatic planing hulls, evaluating dynamic trim angle τ, wetted keel length λ, and hydrodynamic drag.

Planing Hull Hydrodynamic Lift & Dynamic Trim (Savitsky Method) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

CL0=τ1.1(0.012λ1/2+0.0055λ5/2Cv2),CLβ=CL0−0.0065βCL00.60C_{L0} = \tau^{1.1} \left( 0.012 \lambda^{1/2} + 0.0055 \frac{\lambda^{5/2}}{C_v^2} \right), \quad C_{L\beta} = C_{L0} - 0.0065 \beta C_{L0}^{0.60}

Implements Daniel Savitskys classic empirical hydrodynamic equations for prismatic planing hulls, evaluating dynamic trim angle τ, wetted keel length λ, and hydrodynamic drag.

How to Use the Planing Hull Hydrodynamic Lift & Dynamic Trim (Savitsky Method) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Planing Hull Hydrodynamic Lift & Dynamic Trim (Savitsky Method) Calculator Example

Input Values:

shipDisplacementMassKg:4500
chineBeamMeters:2.4
boatSpeedKnots:32
deadriseAngleBetaDeg:18
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required degrees.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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