Download your Word document
Barn and Pole Relativity Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Barn and Pole Relativity Calculator — result sheet
Explore Lorentz contraction and the relativity-of-simultaneity gap in a pole-and-barn thought experiment.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: γ = 1/√(1−β²); Lpole,barn = Lpole/γ; Lbarn,pole = Lbarn/γ; |Δt| = γβLbarn/c.
This thought-experiment model reports the contracted lengths seen in each frame and the nonzero door-event time gap in the pole frame. The apparent contradiction is resolved because events simultaneous in the barn frame are not simultaneous in the pole frame.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Pole rest length — length; minimum 1.0E-6; maximum 1000000000
- Barn rest length — length; minimum 1.0E-6; maximum 1000000000
- Speed as a fraction of c — minimum 0; maximum 0.999999
Worked example
| Input | Value |
|---|---|
| Pole rest length | 20 |
| Barn rest length | 10 |
| Speed as a fraction of c | 0.8660254038 |
The Lorentz factor is about 2; the pole is measured at about 10 length units in the barn frame and the simultaneity gap is about 5.8×10⁻⁸ s.
Assumptions and limits
- The pole and barn move at constant relative speed along their shared length axis.
- Lengths are rest-frame lengths and the doors are treated as ideal events at the barn ends.
- No acceleration, deformation, door mechanics, or visual appearance is modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.