The Lorentz Transformation of Velocity Calculator will calculate the:
Calculation Parameters: All relativistic events are supposed to occur in vacuum; all systems are inertial.
Handy Speed of Light in a Vacuum to Metres Converter: |
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If the motion occurs in 1 or 2 dimensions only, please insert the value 0 in the corresponding box of quantities representing the missing direction
The x-component of object's velocity in the system S' moving at velocity V relative to the system S v'x is m/s [metre per second] |
The y-component of object's velocity in the system S' moving at velocity V relative to the system S v'y is m/s [metre per second] |
The z-component of object's velocity in the system S' moving at velocity V relative to the system S v'z is m/s [metre per second] |
x-component of object's velocity in the system S' moving at velocity V relative to the system S v'x calculation |
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vx' = vx - √Vx2 + Vy2 + Vz2/1 - √Vx2 + Vy2 + Vz2 ∙ vx/c2 vx' = - √ 2 + 2 + 2/1 - √ 2 + 2 + 2 ∙ / 2 vx' = - √ + + /1 - √ + + ∙ / vx' = - √/1 - √ ∙ / vx' = - /1 - ∙ / vx' = /1 - / vx' = /1 - vx' = / vx' = |
y-component of object's velocity in the system S' moving at velocity V relative to the system S v'y calculation |
vy' = vy ∙ √1 - Vx2 + Vy2 + Vz2/c2/1 - √Vx2 + Vy2 + Vz2 ∙ vx/c2 vy' = ∙ √1 - 2 + 2 + 2/ 2/1 - √ 2 + 2 + 2 ∙ / 2 vy' = ∙ √1 - + + //1 - √ + + ∙ / vy' = ∙ √1 - //1 - √ ∙ / vy' = ∙ √1 - /1 - ∙ / vy' = ∙ √/1 - / vy' = ∙ /1 - vy' = / vy' = |
z-component of object's velocity in the system S' moving at velocity V relative to the system S v'z calculation |
vz' = vz ∙ √1 - Vx2 + Vy2 + Vz2/c2/1 - √Vx2 + Vy2 + Vz2 ∙ vx/c2 vz' = ∙ √1 - 2 + 2 + 2/ 2/1 - √ 2 + 2 + 2 ∙ / 2 vz' = ∙ √1 - + + //1 - √ + + ∙ / vz' = ∙ √1 - //1 - √ ∙ / vz' = ∙ √1 - /1 - ∙ / vz' = ∙ √/1 - / vz' = ∙ /1 - vz' = / vz' = |
Lorentz Transformation Of Velocity Calculator Input Values |
x-component of object's velocity in the system S connected to the Earth (vx) m/s [metre per second] |
y-component of object's velocity in the system S connected to the Earth (vy) m/s [metre per second] |
z-component of object's velocity in the system S connected to the Earth (vz) m/s [metre per second] |
Velocity of system S' relative to the system S at rest in the x-direction (Vx) m/s [metre per second] |
Velocity of system S' relative to the system S at rest in the y-direction (Vy) m/s [metre per second] |
Velocity of system S' relative to the system S at rest in the z-direction (Vz) m/s [metre per second] |
Speed of light in vacuum (c) m/s [metre per second] |
is the module (magnitude) of velocity of the system S' relative to the inertial system S considered at rest.
where
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