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Ship Rolling Natural Period & Radius of Gyration Calculator

Easily calculate and compute ship rolling natural period & radius of gyration calculator with accurate equations, live formulas, and expert guidance.

Maximum hull breadth.

Intact transverse GM.

Empirical radius of gyration factor (typically 0.78 for merchant ships).

Calculated Result
18.72 s

Natural Roll Period T_roll

Natural Roll Period T_roll

18.72 s

Roll Period Seconds

18.720361107628243

Beam M

32.2

Transverse Gm M

1.8

Roll Constant C

0.78

18.72 — s

Calculation Breakdown

  1. Applied FormulaCalculates the unforced natural roll resonance period Tr of a ship based on transverse beam B and metacentric height GM to avoid synchronous resonant parametric rolling.T_r = \frac{2\pi k_{xx}}{\sqrt{g \cdot GM}} \approx \frac{C \cdot B}{\sqrt{GM}}

Ship Natural Roll Period Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.04.79.41419Natural Roll Period T_roll

What Is the Ship Rolling Natural Period & Radius of Gyration Calculator?

This tool computes ship rolling natural period & radius of gyration calculator with high precision arithmetic.

How Does the Ship Rolling Natural Period & Radius of Gyration Calculator Work?

Calculates the unforced natural roll resonance period Tr of a ship based on transverse beam B and metacentric height GM to avoid synchronous resonant parametric rolling.

Ship Rolling Natural Period & Radius of Gyration Calculator Formula & Variables

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

Tr=2πkxxg⋅GM≈C⋅BGMT_r = \frac{2\pi k_{xx}}{\sqrt{g \cdot GM}} \approx \frac{C \cdot B}{\sqrt{GM}}

Calculates the unforced natural roll resonance period Tr of a ship based on transverse beam B and metacentric height GM to avoid synchronous resonant parametric rolling.

How to Use the Ship Rolling Natural Period & Radius of Gyration Calculator

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

Step-by-Step Example Calculation

Ship Rolling Natural Period & Radius of Gyration Calculator Example

Input Values:

beamM:32.2
transverseGmM:1.8
rollConstantC:0.78
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required s.

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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