Kostenloser Lorentz Factor Rechner
Berechnen Sie den Lorentz factor gamma aus velocity. Kostenloser special relativity Rechner.
Lorentz Factor (gamma)
2.29343275
Lorentz Factor (gamma) vs Velocity
Formel
## The Lorentz Factor Gamma is the cornerstone of special relativity, appearing in time dilation, length contraction, and relativistic energy. ### Formula **gamma = 1 / sqrt(1 - beta^2)** where beta = v/c. - gamma = 1 at rest - gamma = 1.15 at 0.5c - gamma = 7.09 at 0.99c - gamma approaches infinity as v approaches c
Lösungsbeispiel
Object at 0.9c.
- 01beta = v/c = 2.698e8 / 2.998e8 = 0.8999
- 02beta^2 = 0.8099
- 031 - beta^2 = 0.1901
- 04gamma = 1 / sqrt(0.1901) = 1 / 0.4360 = 2.294
Häufig Gestellte Fragen
Why is gamma always at least 1?
Because v can never exceed c, the denominator sqrt(1-v^2/c^2) is always between 0 and 1, making gamma at least 1.
What is the physical meaning of gamma?
It tells you the factor by which time dilates, length contracts, and inertia increases. A gamma of 2 means clocks run half as fast and lengths shrink by half.
What gamma do particle accelerators achieve?
The LHC accelerates protons to gamma of about 7500, meaning they travel at 99.999999% of light speed.
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