Time Differential

on . Posted in Classical Mechanics

 Time differential, abbreviated as \(\Delta t'\), is the time that has passed as measured by a stationary observer.

 

Time Differential formula

\( \Delta t' =  \gamma \; \Delta t  \)
Symbol English Metric
\( \Delta t' \) = time differential \( sec \)  \( s \) 
\( \gamma \) (Greek symbol gamma) = Lorentz factor \(dimensionless \)
\( \Delta t \) = time that has passed by the traveling observer \( sec \) \( s \)

 

Time Differential formula

\( \Delta t' = \Delta t \;/\; \sqrt{1 - (v^2 \;/\; c^2 ) }  \) 
Symbol English Metric
\( \Delta t' \) = time differential \( sec \)  \( s \) 
\( \Delta t \) = time that has passed by the traveling observer \( sec \) \( s \)
\( v \) = velocity of the traveling observer \(ft \;/\; sec\)  \(m \;/\; s\) 
\( c \) = speed of light \(ft \;/\; sec\) \(m \;/\; s\)

 

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Tags: Differential