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

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

 

Time Differential formula

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

 

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Tags: Differential