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Critical Mass of Bare Sphere (Buckling & Critical Radius) Calculator

Easily calculate and compute critical mass of bare sphere (buckling & critical radius) calculator with accurate equations, live formulas, and expert guidance.

Root of material buckling Bm = sqrt(Bm^2) for fissile composition.

Fissile metal density (e.g. Pu alpha-phase ~19.8 g/cm³, U-235 ~19.1 g/cm³).

Boundary extrapolation distance (~0.71 * lambda_tr).

Calculated Result
9.02 cm

Bare Sphere Critical Radius R_c

Bare Sphere Critical Radius R_c

9.02 cm

Critical Radius Cm

9.017477042468103

Critical Mass Kg

60.81475136850371

Extrapolated Radius Cm

9.817477042468104

Material Buckling Bm Cm1

0.32

9.02 — cm

Calculation Breakdown

  1. Applied FormulaCalculates the bare critical radius and critical mass of fissile spheres (U-235, Pu-239) by equating material buckling Bm² to spherical geometric buckling.R_c = \frac{\pi}{B_m} - 0.71 \lambda_{tr}

Bare Sphere Critical Mass Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02.34.56.89.0Bare Sphere Critical Radius R_c

What Is the Critical Mass of Bare Sphere (Buckling & Critical Radius) Calculator?

This tool computes critical mass of bare sphere (buckling & critical radius) calculator with high precision arithmetic.

How Does the Critical Mass of Bare Sphere (Buckling & Critical Radius) Calculator Work?

Calculates the bare critical radius and critical mass of fissile spheres (U-235, Pu-239) by equating material buckling Bm² to spherical geometric buckling.

Critical Mass of Bare Sphere (Buckling & Critical Radius) Calculator Formula & Variables

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

Rc=πBm−0.71λtrR_c = \frac{\pi}{B_m} - 0.71 \lambda_{tr}

Calculates the bare critical radius and critical mass of fissile spheres (U-235, Pu-239) by equating material buckling Bm² to spherical geometric buckling.

How to Use the Critical Mass of Bare Sphere (Buckling & Critical Radius) Calculator

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

Step-by-Step Example Calculation

Critical Mass of Bare Sphere (Buckling & Critical Radius) Calculator Example

Input Values:

materialBucklingBmCm1:0.32
fissileDensityGPerCm3:19.8
extrapolationDistanceCm:0.8
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required cm.

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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